Properties Sentence Examples

properties
  • The climate is very dry, and the properties of the soil are 0

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  • Such limitations of the powers and properties of the individuals have for their object the well-being of the community of which those individuals are constituents.

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  • He had his job at the clinic as well as the responsibility of two properties.

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  • Such were the Orpheotelestae or Metragyrtae, wandering priests who went round the country with an ass carrying the sacred properties (Aristophanes, Frogs, 159) and a bundle of sacred books.

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  • The drug has the properties common to all substances that contain a volatile oil.

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  • Beryllium to a certain extent stands alone in many of its chemical' properties, resembling to some extent the metal aluminium.

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  • It may be surmised that the quantitative measures of most physical properties will be found to be connected with the chemical nature of substances.

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  • Each variety needs special treatment according to its properties.

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  • Schonbein subsequently showed the solution possessed reducing properties.

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  • A more careful study of the physical as well as the chemical properties of a soil must precede intelligent experimentation in rotation.

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  • He also had some knowledge of the properties of concave and convex lenses and mirrors in forming images.

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  • One of the most interesting amongst recent alloys is Conrad Heusler's alloy of copper, aluminium and manganese, which possesses magnetic properties far in excess of those of the constituent metals.

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  • The following fundamental properties of log x are readily deducible from the definition (i.) log xy= log x-Flog y.

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  • Garlic possesses stimulant and stomachic properties, and was of old, as still sometimes now, employed as a medicinal remedy.

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  • Several members of the order are used medicinally for the strong purging properties of the milky juice (latex) which they contain; scammony is the dried latex from the underground stem of Convolvulus Scarnmonia, a native of the Levant, while jalap is the product of the tubercles of Exogonium Purga, a native of Mexico.

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  • His investigation of the properties of amicable numbers and of the problem of trisecting an angle, are of importance.

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  • It includes the properties of numbers; extraction of roots of arithmetical and algebraical quantities, solutions of simple and quadratic equations, and a fairly complete account of surds.

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  • Teleology had, indeed, an important part in the development of physiology - the knowledge of the mechanism, the physical and chemical properties, of the parts of the body of man and the higher animals allied to him.

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  • It abolished the conception of life s an entity above and beyond the common properties of matter, and led to the conviction that the marvellous and exceptional qualities of that which we call " living " matter are nothing more nor less than an exceptionally complicated development of those chemical and physical properties which we recognize in a gradually ascending scale of evolution in the carbon compounds, containing nitrogen as well as oxygen, sulphur and hydrogen as constituent atoms of their enormous molecules.

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  • The medicinal properties of the sulphur water were discovered, or perhaps rediscovered, in 1732 by a famous Welsh writer, the Rev. Theophilus Evans, then vicar of Llangammarch (to which living Llanwrtyd was a chapelry till 1871).

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  • In the civil wars the government was also held responsible for damages to these properties and for the mistreatment of foreigners residing in the country.

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  • The making of ether by the action of sulphuric acid on alcohol was known in about the 13th century; and later Basil Valentine and Valerius Cordus described its preparation and properties.

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  • Oertel finds an explanation of this want of complete celldifferentiation, loss of function, and acquired vegetative activity in the non-homogeneous character of the nuclear chromatin elements of the cell, and maintains that the different properties of the cell are carried and handed down by the different orders of chromatin loops.

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  • If the particle enveloped by the protoplasm be of an organic nature, such as a bacterium, it undergoes digestion, and ultimately becomes destroyed, and accordingly the term " phagocyte " is now in common use to indicate cells having the above properties.

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  • Each organism possesses within itself the means of protection against its parasitical enemies, and these properties are more in evidence when the organism is in perfect health than when it is debilitated.

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  • Arcana were often shown to be such by their physical properties, not only by such as heat, cold, &c., but by fortuitous resemblances to certain parts of the body; thus arose the famous doctrine of "signatures," or signs indicating the virtues and uses of natural objects, which was afterwards developed into great complexity.

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  • Sometimes acid sometimes alkaline properties predominated in the juices and secretions of the body, and produced corresponding disturbances.

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  • The sensible properties and physical alterations of animal fluids and solids depended upon different proportions, movements and combinations of these particles.

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  • Highly complex as are all animal tissues, or nearly all, yet in this category of high complexity are degrees higher and higher again of which we can form little conception, so elaborate they are, so peculiar in their respective properties, and probably so fugitive.

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  • Many of the names of the rich residential streets and squares in the west have associations with the various owners of the properties; but Mayfair is so called from a fair held on this ground in May as early as the reign of Charles II.

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  • The 24th of June, 1904, was the date fixed on which control passed to the Board, and in the meantime a Court of Arbitration adjudicated the claims of the companies for compensation for the acquisition of their properties.

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  • A complete re-valuation of properties in the county of London is made every five years, valuation lists being prepared in duplicate by the borough councils acting as overseers of the parishes in their respective boroughs.

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  • Numerous patent ropes, some having wires and strands of special shapes, have been introduced with the idea of improving the wearing properties.

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  • In the case of mining properties these profits are more or less uncertain, and cannot be accurately determined until the deposit has been thoroughly explored and fully developed.

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  • Receive antennas may differ in their noise rejection properties.

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  • The mechanical properties of the curves are treated in the article MECHANIcs,where various forms are illustrated.

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  • C. Maxwell Garnett, who has studied the optical properties of these glasses, has suggested that the changes in colour correspond with changes effected in the structure of the metals as they pass gradually from solution in the glass to a state of crystallization.

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  • As a result a whole series of glasses of novel composition and optical properties were produced.

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  • It must be admitted that, by the aid of certain of these new constituents, glasses can be produced which, as regards purity of colour, freedom from defects and chemical stability are equal or even superior to the best of the " ordinary " glasses, but it is a remarkable fact that when this is the case the optical properties of the new glass do not fall very widely outside the limits set by the older glasses.

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  • In practice, however, it is not found that the presence either of a decidedly greenish-yellow colour or of numerous small bubbles interferes at all seriously with the successful use of the lenses for the majority of purposes, so that it is preferable to sacrifice the perfection of the glass in order to secure valuable optical properties.

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  • It is a further striking fact, not unconnected with those just enumerated, that the extreme range of optical properties covered even by the relatively large number of optical glasses now available is in reality very small.

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  • In this way the crucible is gradually filled with a mass of molten glass, which is, however, [[Table I]].- Optical Properties.

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  • His pages abound in symbols representing unknown functions, the form of the function being left to be ascertained by observation of facts, which he does not regard as a part of his task, or only some known properties of the undetermined function being used as bases for deduction.

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  • The progress of science has, in fact, been accompanied by the discovery of some 70 elements, which may be arranged in order of their "metallic" properties as above indicated, and it is found that while the end members of the scale are most distinctly metallic (or non-metallic), certain central members, e.g.

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  • This definition, however, is highly artificial and objectionable on principle, because when we speak of metals we think, not of their chemical relations, but of a certain sum of mechanical and physical properties which unites them all into one natural family.

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  • All metals, when exposed in an inert atmosphere to a sufficient temperature, assume the form of liquids, which all present the following characteristic properties.

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  • But their most characteristic, though not perhaps their most general, property is that they combine in themselves the apparently incompatible properties of elasticity and rigidity on the one hand and plasticity on the other.

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  • To this remarkable combination of properties more than to anything else the ordinary metals owe their wide application in the mechanical arts.

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  • In 1809 it was replaced by the bitter wood or bitter ash of Jamaica, Picraena excelsa, which was found to possess similar properties and could be obtained in pieces of much larger size.

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  • Its properties are similar to those of the quadratrix of Dinostratus.

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  • Potassium nitrate was used at one time in many different diseased conditions, but it is now never administered internally, as its extremely depressant action upon the heart is not compensated for by any useful properties which are not possessed by many other drugs.

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  • The peculiar properties of snuff are dependent on the presence of free nicotine, free ammonia and the aromatic principles developed during fermentation.

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  • A Spiritus Nucis Juglandis is given as an antispasmodic. It doubtless owes its properties to the alcohol which it contains.

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  • The specific effects of different impurities on the physical properties of zinc have only been imperfectly studied.

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  • Properties Zinc is a bluish-white metal, showing a high lustre when freshly fractured.

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  • Wohler, and it became necessary to admit them to be two bodies which differed in properties, though of the same percentage composition.

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  • After the Restoration, to appease the planters, doubtful as to the title under which they held the estates which they had converted into valuable properties, the proprietary or patent interest was abolished, and the crown took over the government of the island; a duty of 41% on all exports being imposed to satisfy the claims of the patentees.

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  • The leaves and young shoots are chewed; they have stimulating properties, comparable with those of the coca of Peru.

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  • Ordinarily carbon is used as the electrode material, but when carbon comes in contact at high temperatures with any metal that is capable of forming a carbide a certain amount of combination between them is inevitable, and the carbon thus introduced impairs the mechanical properties of the ultimate metallic product.

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  • The solution, if boiled, deposits its titanic oxide as a hydrate called metatitanic acid, TiO(OH) 21 because it differs in its properties from orthotitanic acid, Ti(OH) 4, obtained by decomposing a solution of the chloride in cold water with alkalis.

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  • The mixed secondary amines have basic properties, but the purely aromatic secondary amines are only very feeble bases.

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  • In 1876 new mining laws were enacted which gave better titles to mining properties and better regulations for their operation, but the outbreak of the war with Chile at the end of the decade and the succeeding years of disorganization and partisan strife defeated their purpose.

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  • The public revenues are derived from customs, taxes, various inland and consumption taxes, state monopolies, the government wharves, posts and telegraphs, &c. The customs taxes include import and export duties, surcharges, harbour dues, warehouse charges, &c.; the inland taxes comprise consumption taxes on alcohol, tobacco, sugar and matches, stamps and stamped paper, capital and mining properties, licences, transfers of property, &c.; and the state monopolies cover opium and salt.

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  • The Alexandrians prepared oil of turpentine by distilling pine-resin; Zosimus of Panopolis, a voluminous writer of the 5th century A.D., speaks of the distillation of a "divine water" or "panacea" (probably from the complex mixture of calcium polysulphides, thiosulphate, &c., and free sulphur, which is obtained by boiling sulphur with lime and water) and advises "the efficient luting of the apparatus, for otherwise the valuable properties would be lost."

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  • Kopp devoted himself especially to physico-chemical inquiries, and in the history of chemical theory his name is associated with several of the most important correlations of the physical properties of substances with their chemical constitution.

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  • In the Metaphysical state, for volition is substituted abstract force residing in the object, yet existing independently of the object; the phenomena are viewed as if apart from the bodies manifesting them; and the properties of each substance have attributed to them an existence distinct from that substance.

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  • On the other hand, if laws of social phenomena, empirically generalized from history, can, when once suggested, be affiliated to the known laws of human nature; if the direction actually taken by the developments and changes of human society, can be seen to be such as the properties of man and of his dwelling-place made antecedently probable, the empirical generalizations are raised into positive laws, and sociology becomes a science."

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  • In the vicinity of many of these mountain lakes thermal springs, with remarkable curative properties, are to be found.

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  • Thomson (Lord Kelvin) from Regnault's tables of the properties of steam, assuming the gaseous laws, did not vary exactly as J/T.

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  • Kelvin had previously proposed to define an absolute scale of temperature independent of the properties of any particular substance in terms of Carnot's function by making F'(t) constant.

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  • An ideal gas is a substance possessing very simple thermodynamic properties to which actual gases and vapours appear to approximate indefinitely at low pressures and high temperatures.

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  • In the modified Joule-Thomson equation (17), both c and n have simple theoretical interpretations, and it is possible to express the thermodynamical properties of the substance in terms of them by means of reasonably simple formulae.

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  • Although the value of G in any case cannot be found without that of 0, and although the consideration of the properties of the thermodynamic potential cannot in any case lead to results which are not directly deducible from the two fundamental laws, it affords a convenient method of formal expression in abstract thermodynamics for the condition of equilibrium between different phases, or the criterion of the possibility of a transformation.

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  • The boundarystones between properties (termini) were also the objects of cult at the annual festival of the Terminalia, and the "god Terminus," the symbolic boundary-stone, shares with Jupiter the great temple on the Capitol.

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  • The Lar familiaris has been regarded' as the embodiment of all the family dead and his cult as a consummation of ancestor-worship, but a more probable explanation regards him as one of the Lares (q.v.; numina of the fields worshipped at the compita, the places where properties marched) who had special charge of the house or possibly of the household servants (familia); for it is significant that his worship was committed to the charge of the vilica.

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  • The physical properties of native gold are generally similar to that of the melted metal.

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  • It is necessary to remove as completely as possible any lead, tin, bismuth, antimony, arsenic and tellurium, impurities which impair the properties of gold and silver, by an oxidizing fusion, e.g.

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  • Sodium in boiling amyl alcohol reduces it to aromatic tetrahydro-a-naphthylamine, a substance having the properties of an aromatic amine, for it can be diazotized and does not possess an ammoniacal smell.

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  • When reduced by sodium in boiling amyl alcohol solution it forms alicyclic tetrahydro-0naphthylamine, which has most of the properties of the aliphatic amines; it is strongly alkaline in reaction, has an ammoniacal odour and cannot be diazotized.

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  • It is now generally accepted that this number, experimentally determined by Moseley for a number of elements, defines the physical and chemical properties of the particular element.

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  • Torbern Olof Bergman reinvestigated its properties and determined its reactions; his account, which was published in his Opuscula, contains the first fairly accurate description of the metal.

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  • These compounds closely resemble the trichloride in their methods of preparation and their properties, forming oxyhaloids with water, and double compounds with ammonia, &c.

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  • Tuna are much eaten under the name of prickly pears, and are greatly esteemed for their cooling properties.

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  • The first type is in commonest use; since both necessitate the use of dense liquids, a summary of the media of most value, with their essential properties, will be given.

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  • It is almost colourless and has a small coefficient of expansion; its hygroscopic properties, its viscous character, and its action on the skin, however, militate against its use.

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  • In a smaller degree these alkaline properties are shared by the less soluble hydrates of the "metals of the alkaline earths," calcium, barium and strontium, and by thallium hydrate.

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  • Further Physical Properties of Sea-water.---The laws of physical chemistry relating to complex dilute solutions apply to seawater, and hence there is a definite relation between the osmotic pressure, freezing-point, vapour tension and boiling-point by which when one of these constants is given the others can be calculated.

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  • The optical properties of sea-water are of immediate importance in biology, as they affect the penetration of sunlight into the depths.

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  • These properties are most highly developed in the substance known as jet, which is a variety of cannel found in the lower oolitic strata of Yorkshire, and is almost entirely used for ornamental purposes, the whole quantity produced near Whitby, together with a further supply from Spain, being manufactured into articles of jewellery at that town.

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  • Lignite or brown coal includes all varieties which are intermediate in properties between wood and coals of the older.

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  • Where properties are much divided, it is always necessary to maintain a thick barrier of unwrought coal between the boundary of the mine and the neighbouring workings, especially if the latter are to the dip. If a prominent line of fault crosses the area it may usually be a convenient division of the fields into sections or districts.

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  • To explain the properties of any substance by this theory is impossible.

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  • We can only admit the observed properties of such substance as ultimate facts.

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  • In hydrostatics, for instance, we define a fluid by means of one of its known properties, and from this definition we make the system of deductions which constitutes the science of hydrostatics.

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  • It ought accordingly to be possible to explain all the non-electrical and non-chemical properties of matter by treating matter as an aggregation of molecules.

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  • In point of fact it is found that the properties which are most easily explained are those connected with the gaseous state; the explanation of these properties in terms of the molecular structure of matter is the aim of the " Kinetic Theory of Gases."

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  • The point of view which has now been gained enables us to interpret most of the thermal properties of solids in terms of molecular theory.

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  • These two simplifying facts bring the properties of the gaseous state of matter within the range of mathematical treatment.

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  • The kinetic theory of gases attempts to give a mathematical account, in terms of the molecular structure of matter, of all the non-chemical and non-electrical properties of gases.

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  • We are therefore called upon, not to trace the series of configurations of any single gas, starting from definite initial conditions, but to search for features and properties common to all series of configurations, independently of the particular initial conditions from which the gas may have started.

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  • It is accordingly clear that there can be no property common to all systems, but it can be shown that when the system contains a gas (or any other aggregation of similar molecules) as part of it there are properties which are common to all possible states, except for a number which form an insignificant fraction of the whole.

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  • These properties are found to account for the physical properties of gases.

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  • A state of the system in which these two properties are true will be called a " normal state "; other states will be spoken of as " abnormal."

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  • It will now be found that the various properties of gases follow from the supposition that the gas is in the normal state.

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  • We now pass to the consideration of laws and properties which are peculiar to the gaseous state.

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  • Various sulphonic acids of anthraquinone are known, as well as oxy-derivatives, for the preparation and properties of which see Alizarin.

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  • At the time of the secularization of Church properties there were about 120 religious edifices in the city - churches, convents, monasteries, &c. - many of which were turned over to secular uses.

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  • Their knowledge of the air and its properties was no less profound.

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  • They knew poisonous plants, and could eliminate noxious properties.

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  • Ctesibius of Alexandria, Hero and others, founded the science of pneumatics on observations on the physical properties of air.

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  • The justification of the above methods lies in certain properties of the series of successive differences of u.

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  • The earlier papers deal chiefly with the properties and modes of synthesis of cloud chain hydrocarbons and their derivatives.

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  • The author prefers large properties and large commercial undertakings to small ones, and strongly favours association as a means of production.

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  • The velocity of a disturbance along such a bar, and its modes of vibration, depend therefore on the elastic properties of the material and the dimensions of the bar.

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  • A small percentage of cubebs is also commonly included in lozenges designed for use in bronchitis, in which the antiseptic and expectoral properties of the drug are useful.

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  • Therapic and jecoleic acids apparently do not occur elsewhere in the animal kingdom, and it is probable that the therapeutic properties of the oil are associated with the presence of these acids, and not with the small amount of iodine present as was at one time supposed.

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  • Myrrh has the properties of other substances which, like it, contain a volatile oil.

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  • It has the properties of a monacid base and contains the methylamino group, NCH3.

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  • The majority of the species of Clupea are of greater or less utility to man; it is only a few tropical species that acquire, probably from their food, highly poisonous properties, so as to be dangerous to persons eating them.

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  • In its chemical properties it closely resembles barium and strontium, and to some degree magnesium; these four elements comprise the so-called metals of the "alkaline earths."

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  • Medicinal uses were ascribed to the species, but none appear to have any marked properties in this respect.

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  • The evidence for the existence of the luminiferous aether has accumulated as additional phenomena of light and other radiations have been discovered; and the properties of this medium, as deduced from the phenomena of light, have been found to be precisely those required to explain electromagnetic phenomena."

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  • They were content with a knowledge of the truth of the principle of gravitation; instead of essaying to explain it further by the properties of a transmitting medium, they in fact modelled the whole of their natural philosophy on that principle, and tried to express all kinds of material interaction in terms of laws of direct mechanical attraction across space.

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  • We might consider that matter and aether can coexist in the same space; this would involve the co-existence and interaction of a double set of properties, introducing great complication, which would place any coherent scheme of physical action probably beyond the powers of human analysis.

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  • Or we might consider that aether exists only where matter is not, thus making it a very rare and subtle and elastic kind of matter; then we should have to assign these very properties to the matter itself where it replaces aether, in addition to its more familiar properties, and the complication would remain.

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  • Our direct knowledge of matter can, however, never be more than a rough knowledge of the general average behaviour of its molecules; for the smallest material speck that is sensible to our coarse perceptions contains myriads of atoms. The properties of the most minute portion of matter which we can examine are thus of the nature of averages.

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  • The laws of thermodynamics, including the fundamental principle that a physical property, called temperature, can be defined, which tends towards uniformity, are thus relations between the properties of types of material bodies that can exist permanently in presence of each other; why they so maintain themselves remains unknown, but the fact gives the point d'appui.

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  • This raises the further question as to whether the transmission of gravitation can be definitely recognized among the properties of an ultimate medium; if so, we know that it must be associated with some feature, perhaps very deep-seated, or on the other hand perhaps depending simply on incompressibility, which is not sensibly implicated in the electric and optical activities.

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  • He does not tell us how it was prepared, but he describes the method of subliming it, which can leave no doubt that it was real sal ammoniac. In the Opera mineralia of Isaac Hollandus the elder, there is likewise a description of the mode of subliming sal ammoniac. Basil Valentine, in his Currus triumphalis antimonii, describes some of the peculiar properties of sal ammoniac in, if possible, a still less equivocal manner.

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  • Though ammonium chloride has certain irritant properties which may disorder the stomach, yet if its mucous membrane be depressed and atonic the drug may improve its condition, and it has been used with success in gastric and intestinal catarrhs of a subacute type and is given in doses of io grains half an hour before meals in painful dyspepsia due to hyperacidity.

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  • At the council of Chalcedon in 451 it was declared that in the person of Christ are united two complete natures, divine and human,which retain after the union all their properties unchanged.

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  • When two different generations are produced in one year on the same kind of tree it is clear the properties of the sap and tissues of the tree must be diverse so that the two generations are adapted to different conditions.

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  • One of the most important of the properties of a fine florists' tulip is that the cup should form, when expanded, from half to a third of a hollow ball, the six divisions of the perianth being broad at the ends, and smooth at the edges, so that the divisions may scarcely show on indenture.

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  • There are medicinal springs similar in their properties to those of Cheltenham.

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  • The thermochemical properties of the constituents of an explosive will assign an upper limit to the volume, temperature and pressure of the gas produced by the combustion; but much experiment is required in addition.

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  • In their phy s ical properties, the olefines resemble the normal paraffins, the lower members of the series being inflammable gases, the members from C5 to C14 liquids insoluble in water, and from C16 upwards of solids.

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  • In chemical properties, however, they differ very markedly from the paraffins.

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  • It is a solid substance which occurs in several modifications, differing very much in their physical properties.

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  • Charcoal varies considerably in its properties, depending upon the particular variety of wood from which it is prepared, and also upon the process used in its manufacture.

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  • Before doing this, however, it was necessary to define the limits of tribal properties already existing - a work of great difficulty - with a view to their ultimate division, and at the same time to guard against any premature traffic in the rights of Arabs in the lands about to be divided.

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  • If so, the word may be derived from the Semitic ambar (ambergris) to which Eastern nations attribute miraculous properties.

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  • However this may be, and it seems probable that Dr Mott is right in his identification, the pseudo-chroniclers and romance writers certainly had in their minds a genuine table, although, probably, one of magical properties.

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  • The Zapotecs, who call the creature Talachini, and other tribes of Mexico have endowed it with fabulous properties and fear it more than the most poisonous snakes.

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  • In 1782 he published some experiments on the formation of ether, and in 1783 examined the properties of glycerine, which he had discovered seven years before.

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  • About the same time he showed by a wonderful series of experiments that the colouring matter of Prussian blue could not be produced without the presence Of a substance of the nature of an acid, to which the name of prussic acid was ultimately given; and he described the composition, properties and compounds of this body, and even ascertained its smell and taste, quite unaware of its poisonous character.

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  • In this philosophy the mystical properties of numbers are a leading feature; absurd and mechanical notions are glossed over with the sheen of sacramental mystery; myths are explained by pious fancies and fine-sounding pietistic reflections; miracles, even the most ridiculous, are believed in, and miracles are wrought.

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  • That Smith does, however, largely employ the deductive method is certain; and that method is legitimate when the premises from which the deduction sets out are known universal facts of human nature and properties of external objects.

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  • The principal properties of logarithms are given by the equations log (mn) = log m --Flogs n, loga(m/n) = toga m -logo.

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  • Either of these properties might be taken as itself the definition of log x.

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  • The exponential function possesses the properties (i.) exp (x+y) =exp x X exp y.

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  • The exponential function, which may still be defined as the inverse of the logarithmic function, is, on the other hand, a uniform function of x, and its fundamental properties may be stated in the same form as for real values of x.

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  • A comparison with 1888-1889, when 8970 properties were registered, will show how rapidly the mining industries have been developed during that period.

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  • In this way it acquired great wealth, becoming the owner of extensive estates in every part of the country and of highly productive properties in the towns.

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  • In 1828 he was awarded the prize offered by the Societe d'Encouragement pour l'Industrie Nationale for a process of making artificial ultramarine with all the properties of the substance prepared from lapis lazuli; and six years later he resigned his official position in order to devote himself to the commercial production of that material, a factory for which he established at Fleurieux sur Saone.

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  • The irrationality of dispersion is well illustrated by C.Christiansen's experiments on the dispersive properties of white powders.

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  • Properties of the limagon may be deduced from its mechanical construction; thus the length of a focal chord is constant and the normals at the extremities of a focal chord intersect on a fixed circle.

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  • Thus, animism is in some directions little developed, so far as we can see, among the Australian aborigines; but from those who know them best we learn that they believe in innumerable spirits and bush bogies, which wander, especially at night, and can be held at bay by means of fire; with this belief may be compared the ascription in European folk belief of prophylactic properties to iron.

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  • Its chemical properties closely resemble those of chlorine and bromine; its affinity for other elements, however, is as a rule less than that of either.

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  • In medicine iodine is frequently applied externally as a counterirritant, having powerful antiseptic properties.

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  • Acetic acid has no valuable properties for internal administration.

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  • Hincmar of Reims and Haimo of Halberstadt, took the side of Paschasius, and affirmed that the substance of the bread and wine is changed, and that God leaves the colour, taste and other outward properties out of mercy to the worshippers, who would be overcome with dread if the underlying real flesh and blood were nakedly revealed to their gaze !

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  • Various chemists had traced numerical sequences among the atomic weights of some of the elements and noted connexions between them and the properties of the different substances; but it was left to him to give a full expression to the generalization, and to treat it not merely as a system of classifying the elements according to certan observed facts, but as a "law of nature" which could be relied upon to predict new facts and to disclose errors in what were supposed to be old facts.

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  • Thus in 1871 he was led by certain gaps in his tables to assert the existence of three new elements so far unknown to the chemist, and to assign them definite properties.

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  • It is distinguished from the other members of the series by certain characteristic properties; for example, it shows an aldehydic character in reducing silver salts to metallic silver, and it does not form an acid chloride or an acid anhydride.

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  • It is a tertiary base, and has also the properties of an acid and an alcohol.

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  • In various systems of triangular co-ordinates the equations to circles specially related to the triangle of reference assume comparatively simple forms; consequently they provide elegant algebraical demonstrations of properties concerning a triangle and the circles intimately associated with its geometry.

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  • Apollonius' genius takes its highest flight in Book v., where he treats of normals as minimum and maximum straight lines drawn from given points to the curve (independently of tangent properties), discusses how many normals can be drawn from particular points, finds their feet by construction, and gives propositions determining the centre of curvature at any point and leading at once to the Cartesian equation of the evolute of any conic.

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  • The separation of the mixed bases so obtained is effected by repeated fractional crystallization, or by taking advantage of certain properties of the constituents.

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  • Reference should also be made to the articles on the individual alkaloids for further details as to their medicinal and chemical properties.

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  • This gives Canadian wheat excellent milling properties, and enables the millers to turn out flour uniform in quality and of high grade as to keeping properties.

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  • The taste is mucilaginous, sweetish and slightly bitter and aromatic. The root is frequently forked, and it is probably owing to this circumstance that medicinal properties were in the first place attributed to it, its resemblance to the body of a man being supposed to indicate that it could restore virile power to the aged and impotent.

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  • There is no evidence that it possesses any pharmacological or therapeutic properties.

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  • Charcoal is valuable for its infusibility and low conductivity for heat (allowing substances to be strongly heated upon it), and for its powerful reducing properties; so that it is chiefly employed in testing the fusibility of minerals and in reduction.

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  • On the French Alps a sweet exudation is found on the small branchlets of young larches in June and July, resembling manna in taste and laxative properties, and known as Manna de Briancon or Manna Brigantina; it occurs in small whitish irregular granular masses, which are removed in the morning before they are too much dried by the sun; this manna seems to differ little in composition from the sap of the tree, which also contains mannite; its cathartic powers are weaker than those of the manna of the manna ash (Fraximus ornus), but it is employed in France for the same purposes.

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  • Chromic bromide, CrBr 3, is prepared in the anhydrous form by the same method as the chloride, and resembles it in its properties.

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  • Some bitters, although possessing tonic properties, may be regarded as beverages pure and simple, notwithstanding the fact that they are seldom consumed in an undiluted state; others again, are obviously medicinal preparations and should be treated as such.

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  • This plant, credited with wonderful medicinal and aromatic properties, has not been certainly identified with any existing species.

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  • After the discovery of the radioactive properties of uranium by Henri Becquerel in 1896, it was noticed that some minerals of uranium, such as pitchblende, were more active than the element itself, and this circumstance suggested that such minerals contained small quantities of some unknown substance or substances possessing radioactive properties in a very high degree.

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  • Spectrum analysis thus passed quickly out of the stage in which its main purpose was " analysis " and became our most delicate and powerful method of investigating molecular properties; the old name being no longer appropriate, we now speak of the science of " Spectroscopy."

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  • Opticians should supply sufficient information of the dispersive properties of their materials to allow dµ/dX to be calculated easily for different parts of the spectrum.

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  • It possesses all the characteristic properties of an aldehyde; being readily oxidized to benzoic acid; reducing solutions of silver salts; forming addition products with hydrogen, hydrocyanic acid and sodium bisulphite; and giving an oxime and a hydrazone.

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  • In his Principles of Psychology he twice quotes his point that " what we are conscious of as properties of matter, even down to its weight and resistance, are but subjective affections produced by objective agencies which are unknown and unknowable."

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  • About 1892 the idea occurred to him of using vacuum-jacketed vessels for the storage of liquid gases, and so efficient did this device prove in preventing the influx of external heat that it is found possible not only to preserve the liquids for comparatively long periods, but also to keep them so free from ebullition that examination of their optical properties becomes possible.

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  • The Royal Society in 1894 bestowed the Rumford medal upon him for his work in the production of low temperatures, and in 1899 he became the first recipient of the Hodgkins gold medal of the Smithsonian Institution, Washington, for his contributions to our knowledge of the nature and properties of atmospheric air.

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  • When speaking of the magnetic properties of iron it is usual to adopt the terms "soft" and "hard."

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  • That the value of the compass was thus, even in the latter part of the r 7th century, so imperfectly recognized in the East may serve to explain how in earlier times that instrument, long after the first discovery of its properties, may have been generally neglected by navigators.

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  • Roger Bacon (Opus majus and Opus minus, 1266-1267) was acquainted with the properties of the lodestone, and wrote that if set so that it can turn freely (swimming on water) it points toward the poles; but he stated that this was not due to the pole-star, but to the influence of the northern region of the heavens.

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  • For on the one hand the electric current always forms a closed circuit, and on the other the two poles of the magnet have equal but opposite properties, and are inseparably connected, so that whatever tendency there is for one pole to circulate round the current in one direction is opposed by the equal tendency of the other pole to go round the other way, and thus the one pole can neither drag the other round and round the wire nor yet leave it behind.

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  • By the 6th of December he had sent in to the Royal Society the twentieth, and on the 24th of December the twenty-first, series of his "Researches," in which the properties of diamagnetic bodies are fully described.

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  • In the later years of his life he applied himself to the problem of obtaining alumina in the crystalline form, and succeeded in making rubies identical with the natural gem not merely in chemical composition but also in physical properties.

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  • Large estates are the rule in Silesia, where about a third of the land is in the hands of owners possessing at least 250 acres, while properties of 50,000 to 100,000 acres are common.

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  • Gases too dissolve in liquids, while mixtures of various liquids show similar properties.

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  • The distinction between these two classes is not sharp; though when the properties of the resultant are sensibly the sum of those of the pure components, as is nearly the case for a complex gas such as air, it is usual to class it as a mixture.

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  • When the properties of the resultant substance are different from those of the components and it is not a chemical compound we define it as a solution.

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  • No satisfactory correlation of solubility with chemical or other properties has been made.

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  • But other relations between the different properties of solutions have been investigated by another series of conceptions which we shall proceed to develop. Some botanical experiments made about 1870 suggested the idea of semi-permeable membranes, i.e.

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  • Dilute solutions of substances such as cane-sugar, as we have seen, give experimental values for the connected osmotic properties - pressure, freezing point and vapour pressure - in conformity with the theoretical values.

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  • In order to explain the electrical properties of a solution, for instance of potassium chloride, we are driven to believe that each molecule of the salt is dissociated into two parts, potassium and chlorine, each associated with an electric charge equal in amount but opposite in sign.

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  • To explain the electrical properties of sulphuric acid in aqueous solution, the supposition of three ions, two of hydrogen and one of the chemical group S04, is necessary.

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  • Now measurements of osmotic properties of these solutions show that their osmotic pressures are abnormally great and that, at extreme dilution, the ratio of their osmotic pressures to that of equivalent solutions of non-electrolytes is equal to the number of ions indicated by the electrolytic properties.

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  • The conceptions of osmotic pressure and ideal semi-permeable membranes enable us to deduce other thermodynamic relations between the different properties of solutions.

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  • The special properties of these solutions are dealt with under Electrolysis and Electric conduction, § In Liquids.

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  • Attempts have been made to co-ordinate this ionizing power of solvents with their dielectric constants, or with their chemical properties.

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  • The salt springs were known in the 9th century, and their medicinal properties were recognized in the 16th, but it was only during the 19th century that Kissingen became a popular resort.

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  • On account of these properties, builders have come to give it a distinct preference over stone, brick, timber and other building materials.

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  • The fact that a comparatively brittle material like concrete can be subjected not only to heavy loads but also to the jar and vibration from the blows of a heavy pile ram makes it appear as if its nature and properties had been changed by the steel reinforcement.

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  • Brodie, in ascertaining the physiological properties of nucleo-proteids, found that when they were intravascularly injected into pigmented rabbits, coagulation of the blood resulted, but of the eight albinoes which they used, none clotted.

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  • Even to-day the ignorant peasantry of many European countries, Russia, Galicia and elsewhere, believe that all disease is the work of demons, and that medicinal herbs owe their curative properties to their being the materialized forms of benevolent spirits.

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  • No lichen is known to be possessed of any poisonous properties to man, although Chlorea vulpina is believed by the Swedes to be so.

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  • Thus in the case of saxicolous lichens the mineralogical character of the rock has of itself little or no influence upon lichen growth, which is influenced more especially and directly by their physical properties, such as their capacity for retaining heat and moisture.

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  • But from a study of Dalton's own MS. laboratory notebooks, discovered in the rooms of the Manchester society, Roscoe and Harden (A New View of the Origin of Dalton's Atomic Theor y, 1896) conclude that so far from Dalton being led to the idea that chemical combination consists in the approximation of atoms of definite and characteristic weight by his search for an explanation of the law of combination in multiple proportions, the idea of atomic structure arose in his mind as a purely physical conception, forced upon him by study of the physical properties of the atmosphere and other gases.

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  • Contaminated as it was with potassium and with platinum from the crucible, the metal formed a grey powder and was far from pure; but in 1845 he improved his process and succeeded in producing metallic globules wherewith he examined its chief properties, and prepared several compounds hitherto unknown.

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  • Some with 90 to 99% of other metals exhibit the general properties of those metals conspicuously improved.

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  • Samples dating from the old sodium days are still in existence, and when they exhibit unpleasant properties the defect is often ascribed to the metal instead of to the process by which it was won.

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  • For winter use the tops of the most useful kinds of herbs should be cut when in flower or full leaf and quite dry, and spread out in an airy but shady place so as to part slowly with the moisture they contain and at the same time retain their aromatic properties.

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  • The active principle to which the oil owes its purgative properties has not been isolated.

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  • Tudsbury that if an influence machine is enclosed in a metallic chamber containing compressed air, or better, carbon dioxide, the insulating properties of compressed gases enable a greatly improved effect to be obtained owing to the diminution of the leakage across the plates and from the supports.

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  • The greatest part of the Cripple Creek mining properties is owned in Colorado Springs, where the exchange is one of the greatest in the world.

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  • The isolation of the elementary bodies and the investigation of their properties was one of his favourite pursuits.

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  • These variations in the properties of iron are brought about in part by corresponding variations in mechanical and thermal treatment, by which it is influenced profoundly, and in part by variations in the proportions of certain foreign elements which it contains; for, unlike most of the other metals, it is never used in the pure state.

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  • This classification was based on carbon-content, or on the properties which it gave.

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  • Alloy steels and cast irons are those which owe their properties chiefly to the presence of one or more elements other than carbon.

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  • In view of the fact that the presence of 1% of carbon implies that 15% of the soft ductile ferrite is replaced by the glass-hard cementite, it is not surprising that even a little carbon influences the properties of the metal so profoundly.

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  • But carbon affects the properties of iron not only by giving rise to varying proportions of cementite, but also both by itself shifting from one molecular state to another, and by enabling us to hold the iron itself in its unmagnetic allotropic forms, 0and 7-iron, as will be explained below.

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  • These two classes of properties tend to exclude each other, for, as a general rule, whatever tends to make iron and steel hard and strong tends to make it correspondingly brittle, and hence liable to break treacherously, especially under shock.

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  • Although the presence of 1.50% of manganese makes steel relatively brittle, and although a further addition at first increases this brittleness, so that steel containing between 4 and 5.5% can be pulverized under the hammer, yet a still further increase gives very great ductility, accompanied by great hardness-a combination of properties which was not possessed by any other known substance when this remarkable alloy, known as Hadfield's manganese steel, was discovered.

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  • Impurities.-The properties of iron and steel, like those of most of the metals, are profoundly influenced by the presence of small and sometimes extremely small quantities of certain impurities, of which the most important are phosphorus and sulphur, the former derived chiefly from apatite (phosphate of lime) and other minerals which accompany the iron ore itself, the latter from the pyrite found not only in most iron ores but in nearly all coal and coke.

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  • Of these the silica and alumina are chiefly those which the gangue of the ore and the ash of the fuel introduce, whereas the lime is that added intentionally to form with these others a slag of the needed physical properties.

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  • Now how does it come about that the distribution of the carbon between these very unlike states determines the strength, hardness and many other valuable properties of the metal as a whole?

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  • The answer to this is made easy by a careful study of the effect of this same distribution on the constitution of the metal, because it is through controlling this constitution that the condition of the carbon controls these useful properties.

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  • Above the diagram are given the names of the different classes of cast iron to which different stages in the change from graphite to cementite correspond, and above these the names of kinds of steel or cast iron to which at the corresponding stages the constitution of the matrix corresponds, while below the diagram are given the properties of the cast iron as a whole corresponding to these stages, and still lower the purposes for which these stages fit the cast iron, first because of its strength and shock-resisting power, and second because of its hardness.

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  • Here let us recognize that what gives this transfer of carbon from graphite skeleton to metallic matrix such very great influence on the properties of the metal is the fact that the transfer of each 1%.

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  • For these reasons, one must assume the existence of pentavalent nitrogen in the diazonium salts, in order to account for their basic properties.

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  • This salt is a colourless crystalline substance of composition CH30 C6H4 N2 CN HCN 2H20, and has the properties of a metallic salt; it is very soluble in water and its solution is an electrolyte, whereas the solutions of the synand anticompounds are not electrolytes.

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  • These properties of fur constitute its essential value for felting purposes, and mark its difference from wool and silk; the first, after some slight preparation by the aid of hot water, readily unites its fibres into a strong and compact mass; the others can best be managed by spinning and weaving.

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  • The preparation of seal skin occupies a longer time than any other fur skin, but its fine rich effect when finished and its many properties of warmth and durability well repay it.

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  • To avenge herself, Medea presented the new bride with a robe and head-dress, by whose magic properties the wearer was burnt to death, and slew her children by Jason with her own hand.

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  • The properties of this individual subject, the idea of the triangle, are, according to him, discovered by observation, and as observation, whether actual or ideal, never presents us with more than the rough or general appearances of geometrical quantities, the relations so discovered have only approximate exactness.

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  • He saw all the mechanical difficulties that had to be overcome in mining; he learned the nature and succession of rocks, the physical properties of minerals, ores and metals; he got a notion of mineral waters; he was an eyewitness of the accidents which befel the miners, and studied the diseases which attacked them; he had proof that positive knowledge of nature was not to be got in schools and universities, but only by going to nature herself, and to those who were constantly engaged with her.

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  • The permanency of colour by which they are distinguished is attributed to the properties of the water of the Stour, which is impregnated with iron and fuller's earth.

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  • It is different, however, with physical properties, density, &c.; at present we have no fixed rules which enable us to predict quantitatively the differences in physical properties corresponding to a given difference in structure, the only general rule being that those differences are not large.

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  • Other physical properties might be considered; as a general rule they depend upon the distribution of negative and positive elements in the molecule.

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  • This seems to be the case with molten sulphur, which, when heated, becomes dark-coloured and plastic; and also in the case of metals, which obtain or lose magnetic properties without loss of continuous structure.

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  • On the basis of the relation between physical phenomena and thermodynamical laws, properties of the polymorphous compounds may be predicted.

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  • This best studied case shows that a number of mutual relations are to be found between the properties of two modifications when once the phenomenon of mutual transformation is accessible.

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  • These acid esters retain some of the characteristic properties of the acids, forming, for example, salts, with basic oxides.

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  • The prepared leaves have a faint odour and bitter taste; and to preserve their properties they must be kept excluded from light in stoppered bottles.

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  • Professor Bayley Balfour, F.R.S., the Regius Keeper of the Royal Botanic Garden in Edinburgh, has described an arboretum as a living collection of species and varieties of trees and shrubs arranged after some definite method - it may be properties, or uses, or some other principle - but usually after that of natural likeness.

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  • Its physical and chemical properties have been the subject of much study, and have a special interest in view of the extraordinary difference between the physical characters of the diamond and those of graphite (blacklead) or charcoal, with which it is chemically identical, and into which it can be converted by the action of heat or electricity.

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  • Radioactive properties have also been ascribed to other elements, e.g.

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  • There is a mass of evidence to show that radium is to be regarded as an element, and in general its properties resemble those of the metals of the alkaline earths, more particularly barium.

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  • Among these people the fibre has always been an article of considerable importance, yielding cloaks, mats, cordage, fishing-lines, &c., its valuable properties having attracted the attention of traders even before colonists settled in the islands.

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  • This, however, is merely transferring the properties of matter in bulk to its molecules.

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  • There has been some discussion as to the fairness of the treatment accorded by Pascal to his rivals, but no question of the fact that his initiative led to a great extension of our knowledge of the properties of the cycloid, and indirectly hastened the progress of the differential calculus.

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  • It appears that Pascal contemplated publishing a treatise De aleae geometria; but all that actually appeared was a fragment on the arithmetical triangle (Traite du triangle arithmetique, " Properties of the Figurate Numbers"), printed in 1654, but not published till 1665, after his death.

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  • On the steep sides of valleys the plan is easily and cheaply carried out, and where the whole course of the - water is not long the peculiar properties which give it value, though lessened, are not exhausted when it reaches that part of the meadow which it irrigates last.

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  • This wealth and prosperity are due to two very remarkable properties of the Nile.

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  • It is the possession of these two properties that imparts to the Nile a value quite unique among rivers, and gives to the farmers of the Nile Valley advantages over those of any rain-watered land in the world.

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  • Hence marriage, which is law, is the worst of all laws, and as property the worst of all properties.

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  • Among the properties of living material there is one, widely though not universally present in it, which forms the pre-eminent characteristic of 1 The anatomy of the muscles is dealt with under Muscular System, and of the nerves under Nerve and Nervous System.

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  • Among the properties of the neuron is conductivity in all directions.

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  • So valuable are certain of the properties of atropine that it is often desirable to give doses of one-twentieth or onetenth of a grain; but these will never be ventured upon by the practitioner who is ignorant of the great interval between the minimum toxic and the minimum lethal dose.

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  • According to Rabuteau the toxic properties of the higher alcohols increase with their molecular weight and boiling point.

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  • Swords fashioned by Wayland are regular properties of medieval romance.

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  • Occupying as these algae do perhaps the lowest grade of plant life, it is a matter of interest to ascertain whether a nucleus or chromatophore is differentiated in their cells, or whether the functions and properties of these bodies are diffused through the whole protoplast.

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  • Although Portland cement is later in date than either Roman cement or hydraulic lime, yet on account of its greater industrial importance, and of the fact that, being an artificial product, it is of approximately uniform composition and properties, it may conveniently be treated of first.

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  • Under this term are comprehended all cements whose setting properties primarily depend on the hydration of calcium sulphate.

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  • Poinsot's earliest work was his Elemens de statique (1803; 9th edition, 1848), in which he introduces the idea of statical couples and investigates their properties.

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  • As an elementary substance, it is very similar in its physical properties to lead; it resembles lead chemically inasmuch as it forms an almost insoluble chloride and an insoluble iodide.

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  • But the hydroxide of thallium, in most of its properties, comes very close to the alkali metals; it is strongly basic, forms an insoluble chloroplatinate, and an alum strikingly similar to the corresponding potassium compounds.

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  • The excessive size of the properties may to some extent be accounted for by the fact that most of the surface is so mountainous and unproductive as to be unsuitable for division into smaller estates, but two other causes have also co-operated, namely, first, the wide territorial authority of such Lowland families as the Scotts and Douglases, and such Highland clans as the Campbells of Argyll and Breadalbane, and the Murrays of Athol and the duke of Sutherland; and secondly, the stricter law of entail introduced in 1685.

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  • The series into which we can arrange the results of observing phenomena of complex causation, whether exhibited by living organisms or not, have certain properties in common, which are dealt with by the theory of chance.

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  • For the properties of liquid oxygen see Liquid Gases.

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  • The general relations between the parabola, ellipse and hyperbola are treated in the articles Geometry, Analytical, and Conic Sections; and various projective properties are demonstrated in the article Geometry, Projective.

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  • Here only the specific properties of the parabola will be given.

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  • Properties which may be readily de FIG.

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  • Sharks are caught in enormous numbers with hook and harpoon; the flesh is considered by some to have aphrodisiacal properties; the dried fins and tails are exported to China; the oil is used for smearing boats.

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  • At Taenarum in Laconia he had a famous cave-like temple, with an asylum, and on the island of Tenos he was worshipped as the physician, probably in reference to the health-giving properties of the sea air.

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  • It has strong basic properties, absorbs carbon dioxide readily, and forms welldefined crystalline salts.

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  • The bulbs are large and orbicular, and have a blackish coat; they, as well as the flowers, are reputed to be emetic in properties.

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  • The bark possesses tanning properties, and in Scotland in past times yielded with ferrous sulphate a black dye for wool.

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  • The only substance which possesses sufficiently strong catalytic properties for the reaction is cupric chloride.

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  • He became professor at Leiden in 1882, and devoted himself especially to the study of properties of matter at low temperatures.

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  • He succeeded to the estates of Lee as well as of Carnwath, both of which properties passed, on the death of his son Charles without issue in 1802, to his nephew Alexander, who was created a baronet in 1806.

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  • They are killed for their flesh, hides and horns, and little attention is paid to their milkgiving properties.

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  • Thenard, who had no battery at their disposal, to search for a chemical method of obtaining those metals, and by the action of red-hot iron on fused potash - a method of which Davy admitted the advantages - they succeeded in 1808 in preparing potassium, going on to make a full study of its properties and to use it, as Davy also did, for the reduction of boron from boracic acid in 1809.

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  • In a note published in 18 r.1 he described the physical properties of this acid, but he said nothing about its chemical composition till 1815, when he described cyanogen as a compound radicle, prussic acid as a compound of that radicle with hydrogen alone, and the prussiates (cyanides) as compounds of the radicle with, metals.

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  • The powdered bark is sometimes given to horses as a vermifuge; it possesses likewise tonic and febrifugal properties, containing a considerable amount of salicin.

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  • The ideal of science or demonstrative knowledge is to exhibit as flowing from the definitions and postulates of a science, from its special principles, by the help only of axioms or principles common to all knowledge, and these not as premises but as guiding rules, all the properties of the subject-matter, i.e.

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  • Subsequently he became largely interested in street railway properties in Cleveland and elsewhere, and in various banking institutions.

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  • It closely resembles caesium and potassium in its general properties.

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  • By its aid, for example, the whole of the properties a elliptical arches, whether square or skew, whether level or sloping in their span, are at once deduced by projection from those of symmetrical circular arches, and the properties of ellipsoidal and ellipticconoidal domes from those of hemispherical and circular-conoidal domes; and the figures of arches fitted to resist the thrust of earth, which is less horizontally than vertically in a certain given ratio, can be deduced by a projection from those of arches fitted to resist the thrust of a liquid, which is of equal intensity, horizontally and vertically.

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  • In skew-bevel wheels the properties of a line of connection are not possessed by every line traversing the line of contact, but only by every line traversing the line of contact at right angles.

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  • Modulus of a Machine.In the investigation of the properties of a machine, the useful resistances to be overcome and the useful work to be performed are usually given.

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  • A very large number of other insects belonging to the same family possess blistering properties, owing to their containing cantharidin.

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  • Except by smell, by change of specific gravity, and by deterioration of drying properties, these adulterations are difficult to detect.

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  • In this case the wine gradually matured and acquired the properties which were associated with age.

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  • The vineyards of these two properties are tended with extraordinary care, and the wines, of which several qualities are made in each case, fetch exceedingly high prices.

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  • He determined the specific gravity of these gases with reference to common air, investigated the extent to which they are absorbed by various liquids, and noted that common air containing one part in nine by volume of fixed air is no longer able to support combustion, and that the air produced by fermentation and putrefaction has properties identical with those of fixed air obtained from marble.

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  • Men do not eat an animal for which they have a reverential dread, or if they eat it at all, it is only in a sacramental feast and in order to absorb into themselves its life and holy properties.

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  • The old " public land " in Italy had nearly disappeared; but the royal possessions in the conquered provinces and the private properties of the emperor became ultimately a part of the property of the Fiscus.

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  • Starting with careful and accurate observations on facts concerning the mysterious properties of amber and the lodestone, Gilbert laid the foundations of modern electric and magnetic science on the true experimental and inductive basis.

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  • The 3rd series (1833) he devoted to discussion of the identity of electricity derived from various sources, frictional, voltaic, animal and thermal, and he proved by rigorous experiments the identity and similarity in properties of the electricity generated by these various methods.

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  • In the first place, it is evident that Bacon, like the Atomical school, of whom he highly approved, had a clear perception and a firm grasp of the physical character of natural principles; his forms are no ideas or abstractions, but highly general physical properties.

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  • This Commission was authorized to " inquire into the origin, nature, amount and application of the temporalities, endowments and other; properties of the Church of England in Wales and Monmouthshire; and into the provision made and the work done by the Churches of all denominations in Wales and Monmouthshire for the spiritual welfare of the people, and the extent to which the people avail themselves of such provision."

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  • There are also natural warm springs at Kerkuk, used to supply baths and reputed to have valuable medical properties.

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  • Native copper, sometimes termed by miners malleable or virgin copper, occurs as a mineral having all the properties of the smelted metal.

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  • A very weak current gives a pale and brittle deposit, but as the current-density is increased up to a certain point, the properties of the metal improve; beyond this point they deteriorate, the colour becoming darker and the deposit less coherent, until at last it is dark brown and spongy or pulverulent.

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  • The benefits to be derived from the above process, however, cannot be great, for the bundles are usually taken direct to the pools and streams. The period necessary for the completion of the retting process varies according to the temperature and to the properties of the water, and may occupy from two days to a month.

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  • The quillay (Quillaja saponaria) is another characteristic evergreen tree of this region, whose bark possesses saponaceous properties.

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  • John Wallis, discussing this fraction in his Arithmetica finitorum (1656), gives many of the elementary properties of the convergents to the general continued fraction, including the rule for their formation.

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  • Laevo-tartaric acid is identical in its chemical and in most of its physical properties with the dextro-acid, differing chiefly in its action on polarized light, the plane of polarization being rotated to the left.

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  • Most of these belong to the aromatic group of bodies, although one of them, antipyrin, belongs rather to the furfurol group. Carbolic acid has an antipyretic action, but on account of its poisonous properties it cannot be employed as an antipyretic. Salicylic acid has a strong antipyretic action, and is most commonly used in the form of its sodium salt, which is much more soluble than the acid itself.

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  • Metallic antimony was utilized to make goblets in which wine was allowed to stand so as to acquire emetic properties, and "everlasting" pills of the metal, supposed to act by contact merely, were administered and recovered for future use after they had fulfilled their purpose.

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  • This substance, which has been found to be a purely siliceous concretion, is possessed of peculiar optical properties.

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  • Without any political principles, properly so called, and without interest in or knowledge of foreign affairs, he maintained himself and his party in power for an unprecedented period by his great tact, and in virtue of his two great political properties - of zeal against every species of reform, and zeal against the Roman Catholics.

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  • Take the fundamental properties of body - extension and resistance.

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  • The action between the capillary tube and the water has been called capillary action, and the name has been extended to many other phenomena which have been found to depend on properties of liquids and solids similar to those which cause water to rise in capillary tubes.

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  • Hence if V is the volume of a mass M of liquid bounded by a surface whose area is S, the integral M = f f f pdx dydz, (I) where the integration is to be extended throughout the volume V, may be divided into two parts by considering separately the thin shell or skin extending from the outer surface to a depth within which the density and other properties of the liquid vary with the depth, and the interior portion of the liquid within which its properties are constant.

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  • If we suppose a normal v less than E to be drawn from the surface S into the liquid, we may divide the shell into elementary shells whose thickness is dv, in each of which the density and other properties of the liquid will be constant.

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  • In such a film it is possible that no part of the liquid may be so far from the surface as to have the potential and density corresponding to what we have called the interior of a liquid mass, and measurements of the tension of the film when drawn out to different degrees of thinness may possibly lead to an estimate of range of the molecular forces, or at least of the depth within a liquid mass, at which its properties become sensibly uniform.

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  • It is impossible to make direct measurements of the properties of particles of the substance within the insensible distance e of the bounding surface.

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  • The edge of the drop is drawn out by the surface-tension of A with a force greater than the sum of the tensions of the two surfaces of the drop. The drop, therefore, spreads itself out, with great velocity, over the surface of A till it covers an enormous area, and is reduced to such extreme tenuity that it is not probable that it retains the same properties of surface-tension which it has in a large mass.

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  • Indeed the possibility of the continued existence of films, such as constitute foam, depends upon the properties now under consideration.

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  • The Inquisition never had any jurisdiction whatever over the Indians; compulsory labour by the Indians was never legalized except on the missions, and the law was little violated; they were never compelled to work mines; of mining by the Indians for precious metals there is no evidence; nor by the Jesuits (expelled in 1767, after which their missions and other properties were held by the Franciscans), except to a small extent about the presidio of Tubac, although they did some prospecting.

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  • The systematic interference with these conditions has enabled bacteriologists to induce the development of socalled asporogenous races, in which the formation of spores is indefinitely postponed, changes in vigour, virulence and other properties being also involved, in some cases at any rate.

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  • None of these systems, which are chiefly due to the medical bacteriologists, has maintained its position, owing to the difficulty of applying the characters and to the fact that such properties are physiological and liable to great fluctuations in culture, because a given organism may vary greatly in such respects according to its degree of vitality at the time, its age, the mode of nutrition observed; or, at any rate, the strictest rules should be followed in accepting the evidence adduced to render the union of any forms probable.

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  • Even when used in conjunction with purely morphological characters, these physiological properties are too variable to aid us in the discrimination of species and genera, and are apt to break down at critical periods.

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  • The presence of foreign germs, which may gain the upper hand and totally destroy the flavours of butter and cheese, has led to the search for those particular forms to which the approved properties are due.

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  • The full description of a particular bacterium implies an account not only of its microscopical characters, but also of its growth characters in various culture media, its biological properties, and the effects produced in animals by inoculation.

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  • In the acquisition of pathogenic properties some of their original characters have become changed, but in many instances this has taken place only to a slight degree, and, furthermore, some of these changes are not of a permanent character.

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  • It may be stated that the introduction of a particular bacterium into the tissues of the body leads to certain properties appearing in the serum, which are chiefly exerted towards this particular bacterium.

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  • In other words, the toxins of different bacteria are closely similar in their results on the body and the features of the corresponding diseases are largely regulated by the vital properties of the bacteria, their distribution in the tissues, &c. The distinction between the two varieties of toxins, though convenient.

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  • Attempts to get a pure toxin by repeated precipitation and solution have resulted in the production of a whitish amorphous powder with highly toxic properties.

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  • In other cases such changes cannot be detected, and the only evidence of their occurrence may be the associated symptoms. The very important work of Ehrlich on diphtheria toxin shows that in the molecule of toxin there are at least two chief atom groups - one, the " haptophorous," by which the toxin molecule is attached to the cell protoplasm; and the other the " toxophorous," which has a ferment-like action on the living molecule, producing a disturbance which results in the toxic symptoms. On this theory, susceptibility to a toxin will imply both a chemical affinity of certain tissues for the toxin molecule and also sensitiveness to its actions, and, furthermore, non-susceptibility may result from the absence of either of these two properties.

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  • The properties of these two kinds of serum may now be considered.

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  • The serum of an animal thus actively immunized has powerful protective properties towards another animal, the amount necessary for protection being sometimes almost inconceivably small.

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  • Much of such evidence possesses considerable weight, and seeing that these cells possess active digestive powers it is by no means improbable that substances with corresponding properties may be set free by them.

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  • The trouvere, however, omits the greater part of the wanderings of Aeneas, and adorns his narrative with gorgeous descriptions, with accounts of the marvellous properties of beasts and stones, and of single combats among the knights who figure in the story.

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  • The question is really one about the relations subsisting between the persons of the Trinity and their hypostatical properties.

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  • The double procession, in his eyes, means two active principles (airiat) in the Deity, and it means also that there is a confusion between the hypostatical properties; a property possessed by the Father and distinctive of the First Person is attributed also to the Second.

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  • The medicinal properties of the juice have been recognized from a very early period.

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  • Manna possesses mildly laxative properties, and on account of its sweet taste is employed as a mild aperient for children.

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  • Either by the Phoenicians or by the Greeks metallurgy was taught to men who no sooner recognized the nature and malleable properties of copper than they learnt that by application of heat a substance could be manufactured with tin far better suited to their purposes.

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  • Silver readily alloys with many metals, and the admixture generally differs in physical properties from the pure metal.

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  • The extent to which the properties of silver are modified by addition of copper depends on the fineness of the alloy produced.

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  • By the latter he was recommended to Dr Thomas Beddoes, who was in 1798 establishing his Medical Pneumatic Institution at Bristol for investigating the medicinal properties of various gases.

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  • His fourth Bakerian lecture, in November 1809, gave further proofs of the elementary nature of potassium, and described the properties of telluretted hydrogen.

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  • In the spring of 1813 he was engaged on the chemistry of fluorine, and though he failed to isolate the element, he reached accurate conclusions regarding its nature and properties.

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  • The Delaware & Raritan Canal Company and the Camden & Amboy Railroad Company, both chartered in 1830 and both monopolies,' had been practically consolidated in 1831; in 1836 these joint companies gained control of the Philadelphia & Trenton railway; in 1867 these " United New Jersey Railroad & Canal Companies " consolidated with the New Jersey Railroad & Transportation Company (which was opened in 1836 and controlled the important railway link between New Brunswick and Jersey City), and profits were to be divided equally between the four companies; and in 1871 these entire properties were leased for 999 years to the Pennsylvania Railroad Company.

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  • The mono-oxypyridines are easily soluble in water and possess only feeble basic properties.

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  • The physical properties of water and air explain in a great measure how the sailing ship differs from the balloon, and how the latter differs from the flying creature and flying machine constructed on the natural type.

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  • The elastic properties of the wing are absolutely essential, when the mechanism and movements of the pinion are taken into account.

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  • That the posterior margin of the wing yields to a slight extent during both the down and up strokes will readily be admitted, alike because of the very delicate and highly elastic properties of the posterior margins of the wing, and because of the comparatively great force employed in its propulsion; but that it does not yield to the extent stated by Marey is a matter of absolute certainty.

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  • After Pettigrew enunciated his views (1867) as to the screw configuration and elastic properties of natural wings, and more especially after his introduction of spiral, elastic artificial wings, and elastic screws, a great revolution took place in the construction of flying models.

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  • The owners or occupiers of certain specified properties are assessed in respect of the same in the proportion of one-fourth part only of the net annual value thereof.

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  • These properties include tithes, tithe commutation rent charge, land used as arable, meadow or pasture ground only, or as woodlands, market gardens or nursery grounds, orchards, allotments, any land covered with water such as the reservoir of a waterworks company, or used only as a canal or towing-path of the same, or as a railway constructed under the powers of any Act of Parliament for public conveyance.

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  • The reason for these partial exemptions apparently is that sanitary arrangements are made chiefly for the benefit of houses and buildings, while the properties just enumerated do not receive the same amount of benefit.

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  • These special expenses are chargeable to each parish or contributory place, and they are defrayed by means of special sanitary rates, such rates being raised on all property assessed to the relief of the poor, but with the same exemptions of certain properties as have been mentioned under the head of general district rate in urban districts.

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  • John Wallis discussed both the history and properties of the curve in a tract De cycloide published at Oxford in 1659.

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  • The mechanical properties of the cycloid were investigated by Christiaan Huygens, who proved the curve to be tautochronous.

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  • Then followed a long series of researches, mostly published in the same journal, on the properties of magnetic and diamagnetic bodies, establishing results which are now part and parcel of our magnetic knowledge.

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  • Various fabulous properties were attributed to the animal, whatever it was, by the ancients, that of extraordinary powers of vision, including ability to see through opaque substances, being one; whence the epithet lynx-eyed," which has survived to the present day.

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  • The chief articles of export are coffee, skins, ivory, civet, ostrich feathers, gum, pepper, kat plant (used by Moslems for its stimulating properties), gold (in small quantities) and live stock.

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  • By adding an alcoholic solution of iodine to a solution of the sulphate in acetic acid a compound known as herapathite, 4Qu 3H 2 SO 4.2HI Ie6H 2 O, is obtained, which possesses optical properties similar to those of tourmaline; it is soluble in Iwo parts of boiling water; and its sparing solubility in cold alcohol has been utilized for estimating quinine quantitatively.

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  • The medicinal properties of cupreine and homoquinine are of no practical importance.

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  • The other alkaloids of cinchona bark - quinidine, cinchonidine, and cinchonine - also possess similar properties, but all are much less effective than quinine.

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  • He published numerous works on different branches of physics, including A Complete Treatise on Electricity (1777), Treatise on the Nature and Properties of Air and other permanently Elastic Fluids (1781), History and Practice of Aerostation (1785), Treatise on Magnetism (1787), Elements of Natural and Experimental Philosophy (1803), Theory and Practice of Medical Electricity (1780), and Medical Properties of Factitious Air (1798).

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  • The laws of light and shade, the laws of "perspective," including optics and the physiology of the eye, the laws of human and animal anatomy and muscular movement, those of the growth and structure of plants and of the powers and properties of water, all these and much more furnished food almost from the beginning to his insatiable spirit of inquiry.

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  • From this has arisen another popular error, which attributes extraordinary curative properties to its flesh when dried and pulverized.

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  • Its chemical properties are in general intermediate between those of chlorine and iodine; thus it requires the presence of a catalytic agent, or a fairly high temperature, to bring about its union with hydrogen.

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  • The aqueous solution is light yellow in colour, and possesses strong bleaching properties.

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  • It is identical with a-hydroxypropionic acid in almost every respect, except with regard to its physical properties.

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  • It has been supposed that the novelty introduced by Callinicus was saltpetre, but this view involves the difficulty that that substance was apparently not known till the 13th century, even if it were capable of accounting for the properties attributed to the wet fire.

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  • But all such bodies appear to lose their distinctive properties when heated in a vessel which nearly encloses them, for in that case those radiations which they do not emit are either transmitted through them from the walls of the vessel behind, or else reflected from their surface.

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  • Its acoustic properties are said to be almost perfect, and it has been named "the Auditorium."

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  • Flodoard says that Tilpin was originally a monk at St Denis, and Hincmar tells how after his appointment to Reims he occupied himself in securing the restoration of the rights and properties of his church, the revenues and prestige of which had been impaired under Milo's rule.

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  • The Academy of Sciences at Paris in 1738 adjudged the prize to his memoir on the nature and properties of fire, and in 1740 his treatise on the tides shared the prize with those of Colin Maclaurin and Daniel Bernoulli - a higher honour than if he had carried it away from inferior rivals.

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  • Asphalt, whether a natural product or artificially obtained, as, for example, in some chemical manufactures, is a most useful material if properly employed in connexion with reservoir dams. Under sudden impact it is brittle, and has a conchoidal fracture like glass; but under continued pressure it has the properties of a viscous fluid.

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  • Society thus becomes sole proprietor, intrusting to social groups and social functionaries the management of the various properties.

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  • Pseudopelletierine (methyl granatonine), C9H15N0, an alkaloid of the pomegranate, is a derivative of cyclo-octane, and resembles tropine in that it contains a nitrogen bridge between two carbon atoms. It is an inactive base, and also has ketonic properties.

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  • Colours are not Qualifications of Light, derived from Refractions, or Reflections of natural Bodies (as 'tis generally believed), but original and connate properties, which in divers Rays are divers.

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  • Excepting in the correspondence with Flamsteed we hear nothing more of the preparation of the Principia until the 21st of April 1686, when Halley read to the Royal Society his Discourse concerning Gravity and its Properties, in which he states " that his worthy countryman Mr Isaac Newton has an incomparable treatise of motion almost ready for the press," and that the law of the inverse square " is the principle on which Mr Newton has made out all the phenomena of the celestial motions so easily and naturally, that its truth is past dispute."

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  • The first contains an explanation of the doctrine of fluxions, and of its application to the quadrature of curves; the second, a classification of seventy-two curves of the third order, with an account of their properties.

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  • Least Common Multiple 3.4.4 (B) Properties depending on the Scale of Notation 3.4.5 48.

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  • The idea and properties of a fractional number having been explained, we may now call it, for brevity, a fraction.

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  • The following are the main properties of the convergents.

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  • They are not mere modifications of this cause or properties, as with Spinoza, - they are free forces having their power or spring of action in themselves, and this is sufficient for our idea of independent finite reality.

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  • Irish landlords complained that their properties, ruined by the famine, and encumbered by the extravagances of their predecessors, could not bear the cost of this new poor law; and the ministry introduced and carried a measure enabling the embarrassed owners of life estates to sell their property and discharge their liabilities.

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  • Every curve thus arbitrarily defined has its own properties; and there was not any principle of classification.

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  • The Greek geometers were perfectly familiar with the property of an ellipse which in the Cartesian notation is x 2 /a 2 +y 2 /b 2 =1, the equation of the curve; but it was as one of a number of properties, and in no wise selected out of the others for the characteristic property of the curve.

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  • Various properties of curves in general, and of cubic curves, are established in Colin Maclaurin's memoir, "De linearum geometricarum proprietatibus generalibus Tractatus " (posthumous, say 1746, published in the 6th edition of his Algebra).

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  • The solution is still in so far incomplete that we have no properties of the curve II = o, to distinguish one such curve from the several other curves which pass through the points of contact of the double tangents.

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  • The circular cubic and the bicircular quartic, together with the Cartesian (being in one point of view a particular case thereof), are interesting curves which have been much studied, generally, and in reference to their focal properties.

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  • The study of the physical properties of fluids in general constitutes the science of hydromechanics, and their applications in the arts is termed hydraulics; the special science dealing with the physical properties of gases is named pneumatics.

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  • Though practically invisible,' it appeals in its properties to other of our senses, so that the evidences of its presence are manifold.

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  • The latter has for its province the preparation, collection and identification of gases, and the volume relations in which they combine; in general it deals with specific properties.

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  • Connecting the experimental study of the physical and chemical properties is the immense theoretical edifice termed the kinetic theory of gases.

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  • This subject, which is discussed in the article Molecule, has for its purpose (I) the derivation of a physical structure of a gas which will agree with the experimental observations of the diverse physical properties, and (2) a correlation of the physical properties and chemical composition.

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  • The public at first strongly opposed its introduction on the ground of the poisonous properties of the carbon monoxide, which is present in it to the extent of about 28 to 30%.

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  • In order to prepare the individual members pure, advantage is taken of the different physical properties of their derivatives.

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  • The economic sources are treated under Iron And Steel below; in the same place will be found accounts of the manufacture, properties, and uses of the metal, the present article being confined to its chemistry.

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  • It has also feebly acidic properties, forming ferrites with strong bases.

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  • This important ore of iron is most celebrated for its magnetic properties (see Magnetism and Compass), but the mineral is not always magnetic, although invariably attracted by a magnet.

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  • The carbides of iron play an important part in determining the properties of the different modifications of the commercial metal, and are discussed under Iron And Steel.

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  • Attacks were made on properties held by Unitarians, but created prior to 181 3.

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  • The doctrine of geometrical continuity and the application of algebra to geometry, developed in the 16th and 17th centuries mainly by Kepler and Descartes, led to the discovery of many properties which gave to the notion of infinity, as a localized space conception, a predominant importance.

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  • About the beginning of the Christian era a great trade was carried on in coral between the Mediterranean and India, where it was highly esteemed as a substance endowed with mysterious sacred properties.

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  • In April the Girondins Revolt the lives and properties of all who were guilty of wealth or of moderate opinions, while the representatives on mission deposed the municipal authorities and placed their own creatures in power.

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  • The new jurisprudence encouraged the multiplication of small properties.

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  • Applied externally it possesses, in higher degree than any of its fellows, the properties of the volatile oils.

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  • The outer layer of bark in the cork oak by annual additions from within gradually becomes a thick soft homogeneous mass, possessing those compressible and elastic properties upon which the economic value of the material chiefly depends.

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  • Cork possesses a combination of properties which peculiarly fits it for many and diverse uses, for some of which it alone is found applicable.

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  • On account of its lightness, softness and non-conducting properties it is used for hat-linings and the soles of shoes, the latter being a very ancient application of cork.

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  • In general, oxides are the most important compounds with which the chemist has to deal, a study of their composition and properties permitting a valuable comparative investigation of the elements.

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  • The failure of this definition is seen in the case of lead dioxide, which is certainly a peroxide in properties, but it is also the typical oxide of Group IV.

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  • All peroxides have oxidizing properties.

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  • The physical properties of the alcohols exhibit a gradation with the increase of molecular weight.

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  • By what precedes it appears that there exists a function of the n 2 elements, linear as regards the terms of each column (or say, for shortness, linear as to each column), and such that only the sign is altered when any two columns are interchanged; these properties completely determine the function, except as to a common factor which may multiply all the terms. If, to get rid of this arbitrary common factor, we assume that the product of the elements in the dexter diagonal has the coefficient + 1, we have a complete definition of the determinant, and it is interesting to show how from these properties, assumed for the definition of the determinant, it at once appears that the determinant is a function serving for the solution of a system of linear equations.

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  • Observe that the properties show at once that if any column is = o (that is, if the elements in the column are each = o), then the determinant is = o; and further, that if any two columns are identical, then the determinant is = o.

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  • The germ of the theory of determinants is to be found in the writings of Gottfried Wilhelm Leibnitz (1693), who incidentally discovered certain properties when reducing the eliminant of a system of linear equations.

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  • It is a grey powder which is insoluble in water, but dissolves in acids to give a lavenderblue solution which possesses strong reducing properties.

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  • Among the stars our sun is to be included, as it has no properties which distinguish it from the great mass of stars except our proximity to it.

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  • Henbane yields a poisonous alkaloid, hyoscyamine, which is stated to have properties almost identical with those of atropine, from which it differs in being more soluble in water.

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  • Muller made numerous researches in various departments of physiology, and in particular he extended knowledge as to the mechanism of voice, speech and hearing, and as to the chemical and physical properties of lymph, chyle and blood.

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  • The second conclusion is that, as a general rule, the incandescent heavenly bodies are not masses of solid or liquid matter as formerly assumed, but mainly masses either of gas, or of substances gaseous in their nature, so compressed by the gravitation of their superincumbent parts toward a common centre that their properties combine those of the three forms of matter known to us.

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  • The south spring is aperient, but contains some iron; while the north or chalybeate spring is more tonic in its properties.

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  • They do not possess basic properties; the halogen in the chlorine compounds is readily replaced by oxygen, and the oxides produced behave like basic oxides.

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  • Helmholtz successfully applied this behaviour of ice under pressure to the explanation of many properties of the substance.

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  • The relation of the ellipse to the other conic sections is treated in the articles Conic Section and Geometry; in this article a summary of the properties of the curve will be given.

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  • Of the properties of a tangent it may be noticed that the tangent at any point is equally inclined to the focal distances of that point; that the feet of the perpendiculars from the foci on any tangent always lie on the auxiliary circle, and the product of these perpendiculars is constant, and equal to the product of the distances of a focus from the two vertices.

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  • By way of concrete illustration Herbart instances "the common observation that the properties of things exist only under external conditions.

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  • A stream of light coming directly from a natural source has no relation to space except that concerned in its direction of propagation, round which its properties are alike on all sides.

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  • On the other hand, if the emergent streams overlap and the common part be examined, it is found to have all the properties of common light.

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  • Examining the light reflected from the windows of the Luxemburg palace with a doubly refracting prism, he was led to infer (though more refined experiments have shown that this is not strictly the case) that light reflected at a certain angle, called the polarizing angle, from the surface of transparent substances has the same properties with respect to the plane of incidence as those of the ordinary stream in Iceland spar with respect to the principal plane of the crystal.

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  • Since a beam of common light can be resolved into plane polarized streams and these on recomposition give a stream with properties indistinguishable from those of common light, whatever their relative retardation may be, it is natural to assume that an analytical representation of common light can be obtained in which no longitudinal vector occurs.

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  • He studied the properties of the cycloid, and attempted the problem of its quadrature; and in the "infinitesimals," which he was one of the first to introduce into geometrical demonstrations, was contained the fruitful germ of the differential calculus.

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  • The explanation of this phenomenon is that the metal is trans formed at a red heat into another modification, as is proved by simultaneous changes in its magnetic and electrical properties.

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  • For high temperature work it is necessary to employ platinum, which would be an ideal standard for all purposes on account of its constancy and infusibility, did not the thermoelectric properties of different specimens differ considerably.

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  • After his final return from India in 1710 he added to his properties and again became member of parliament for Old Sarum.

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  • In 1835 he published the results of an examination of the properties of water of crystallization as a constituent of salts.

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  • There is in the city an electro-chalybeate well with therapeutic properties.

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  • That experiments, founded on the study of his nature and properties, which have from time to time been made to improve the breed, and bring the different varieties to the perfection in which we now find them, have succeeded, is best confirmed by the high estimation in which the horses of Great Britain are held in all parts of the civilized world; and it is not too much to assert that, although the cold, humid and variable nature of their climate is by no means favourable to the production of these animals in their very best form, Englishmen have by great care, and by sedulous attention to breeding, high feeding and good grooming, with consequent development of muscle, brougnt them to the highest state of perfection of which their nature is capable.

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  • For the next twelve years (passed chiefly in London or at Largo, with an occasional visit to the continent of Europe) he continued his physical studies, which resulted in numerous papers contributed by him to Nicholson's Philosophical Journal, and in the publication (1804) of the Experimental Inquiry into the Nature .and Properties of Heat, a work which gained him the Rumford Medal of the Royal Society of London.

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  • The definitions given above reflect the intimate association of these curves, but it frequently happens that a particular conic is defined by some special property (as the ellipse, which is the locus of a point such that the sum of its distances from two fixed points is constant); such definitions and other special properties are treated in the articles Ellipse, Hyperbola and Parabola.

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  • The fifth book contains properties of normals and their envelopes, thus embracing the germs of the theory of evolutes, and also maxima and minima problems, such as to draw the longest and shortest lines from a given point to a conic; the sixth book is concerned with the similarity of conics; the seventh with complementary chords and conjugate diameters; the eighth book, according to the restoration of Edmund Halley, continues the subject of the preceding book.

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  • He also considered the two branches of a hyperbola, calling the second branch the "opposite" hyperbola, and shows the relation which existed between many metrical properties of the ellipse and hyperbola.

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  • From this conception all the properties of conics can be deduced.

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  • John Wallis, in addition to translating the Conics of Apollonius, published in 1655 an original work entitled De sectionibus conicis nova methodo expositis, in which he treated the curves by the Cartesian method, and derived their properties from the definition in piano, completely ignoring the connexion between the conic sections and a cone.

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  • His treatment is synthetic, and he follows his tutor and Pascal in deducing the properties of conics by projection from a circle.

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  • The diamond has the requisite optical properties, its index of refraction being about i 6 times as large as that of ordinary glass.

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  • When forming an image by a microscope objective it often happens that the transparent media bounding the system have different optical properties.

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  • To determine the utility of an' objective for resolving fine details, one experiments with definite objects, which are usually employed simultaneously for examining its other properties.

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  • By using these glasses and employing minerals with special optical properties, it is possible to correct objectives so that three colours can be combined, leaving only a quite slight tertiary spectrum, and removing the spherical aberration for two colours.

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  • To the quantity of solid matter suspended in its water the Dead Sea owes, beside its saltness, its buoyancy and its poisonous properties.

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  • Thomson therefore had recourse to Paris, and for a year worked in the laboratory of Regnault, who was then engaged in his classical researches on the thermal properties of steam.

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  • The boundaries of the old ecclesiastical parish were nowhere recorded, and the descriptions in the titles of private properties which appear to lie in the parish have sometimes to be taken as evidence, and sometimes the fact that the inhabitants attended a particular church or made payments in favour of a par - ticular minister.

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  • Although these two classes of substances have a number of physical properties in common, they must be considered under separate heads.

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  • Since this capacity runs parallel with one of the best-known properties of oils and fats, viz.

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  • In their physical properties the natural waxes simulate the fatty oils and fats.

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  • Linde also examined the physical properties of various liquids, and, after making trials with methylic ether in 1872, built his first ammonia compression machine in 1873.

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  • Some of the principal physical properties of sulphurous acid, anhydrous ammonia, and carbonic cold are given in Tables III., IV.

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  • Granulated cork has practically the same insulating properties as silicate cotton, and the same thicknesses may be used.

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  • He next gives by aid of these projective rows and pencils a new generation of conics and ruled quadric surfaces, "which leads quicker and more directly than former methods into the inner nature of conics and reveals to us the organic connexion of their innumerable properties and mysteries."

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  • In this work also, of which unfortunately only one volume appeared instead of the projected five, we see for the first time the principle of duality introduced from the very beginning as an immediate outflow of the most fundamental properties of the plane, the line and the point.

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  • Connected with this is the paper Vom Kriimmungsschwerpuncte ebener Curven, which contains numerous properties of pedals and roulettes, especially of their areas.

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  • But these sentences, in which the epigrammatic form exaggerates a truth, and which might seem to represent the possession of capital as of no importance in agriculture, must not be taken as conveying his approbation of the system of small properties in general.

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  • While still young, he, along with Blaise Pascal, made some discoveries in regard to the properties of numbers, on which he afterwards built his method of calculating probabilities.

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  • In China it was an old internal remedy for leprosy and struma, and is accredited with stimulant, tonic, sedative, astringent and vulnerary properties.

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  • Of the essential properties of clay some are merely physical, and depend on the minute size of the particles.

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  • It is insipid, crackles between the teeth, occurs in variable-sized pieces, is tough, of a yellowish-white colour, and opaque, and has properties similar to gum tragacanth.

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  • In its properties it shows some analogy to the halogen acids, since it forms difficultly soluble lead, silver and mercurous salts.

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  • The medicinal and intoxicating properties of hemp have probably been known in Oriental countries from a very early period.

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  • The properties were acquired for speculative purposes, with only small deposits put down.

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  • Many of the properties come with leisure facilities, including indoor pool complexes, tennis courts and games room.

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  • These two authors also conjectured many of the properties of Brownian motion.

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  • However, before such simulations became computationally feasible, considerable attention was given to the calculation of thermodynamic properties of clusters from the PES.

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  • We provide adaption to Hackney Homes (Council) properties to suit the needs of people with disabilities and mobility problems.

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  • The JPL facility will produce the aerogel for the STARDUST mission and provide well controlled media properties and purity.

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  • Both problems are crucial to understand the radiative properties of desert dust aerosol.

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  • Isopropyl myristate, cetyl alcohol and stearyl alcohol have moisturizing properties.

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  • Use the Options Panel to adjust alignment, size, and other text properties.

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  • Members of the genus allium have often been reported to have irritant and allergenic properties on skin contact.

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  • This is explored some more in the page on ligand exchange reactions Amphoteric hydroxides An amphoteric hydroxides An amphoteric substance has both acidic and basic properties.

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  • Garlic makes a delicious addition to a number of culinary dishes - as does Onion which also has valuable antibacterial and antiviral properties.

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  • Echinacea stimulates certain white blood cells and has antiviral, antibacterial as well as anti-inflammatory properties.

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  • Grapefruit Seed Extract has antiparasitic, antibacterial and antifungal properties, and helps to maintain the correct balance of intestinal flora.

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  • This fatty acid has strong antifungal and antimicrobial properties.

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  • Also good for skincare as it has anti-inflammatory, antiseptic properties.

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  • He also studied the magnetic and thermo-electric properties, and the resistance of short rods of manganese arsenide.

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  • In order to apply the axiom of separation, we need to have some sets A from which to carve out subsets using properties.

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  • It has stronger anticonvulsant properties than most other barbiturates, and may be preferentially concentrated in metabolically active epileptic foci.

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  • An aromatic is a organic compound that contains a benzene ring in is molecule or has very similar chemical properties to benzene.

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  • The standard gemmological properties correspond to the known range for synthetic beryls of Russian production.

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  • Boolean algebra is the algebra that describes the simple properties of a single distinction.

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  • Their properties were more like those of the photon, the graviton and the so-called weak gage bosons that carry the weak force.

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  • The measurements of the guage boson properties enables the Standard Model of particle physics to be tested to incredibly high precision.

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  • In general, monitoring biophysical properties of forests requires multispectral information and finely calibrated data.

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  • Members of the public can display these card at their properties to deter unwanted callers.

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  • The main medical properties of cayenne come from a chemical called capsaicin, which gives peppers their heat.

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