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determining

determining Sentence Examples

  • Dean showed his badge and after determining Fred was unhurt, returned to the bar.

  • Jenn gazed towards the wall, mentally determining her chances at taking on six guardsmen and getting them all over the wall before more came or worse—before Others showed up.

  • In determining fungi no single character must be relied upon as conclusive, but all the characters must be taken together.

  • If the errors of the rectangular co-ordinates of these lines are known, the problem of determining the co-ordinates of any star-image on the plate becomes reduced to the comparatively simple one of interpolating the co-ordinates of the star relative to the sides of the 5 mm.

  • In determining the errors of the screw of the Potsdam form FIG.

  • Naturfor., Berlin, 1887) to the colour of the soles of the hind-feet as a means of determining the relationship of the domesticated cat of Europe.

  • In 1526 he was sent out in command of an expedition fitted out for the purpose of determining by astronomical observations the exact line of demarcation, under the treaty of Tordesillas, between the colonizing spheres of Spain and Portugal, and of conveying settlers to the Moluccas.

  • With this end in view he expounded to the Berlin academy in 1849 a mode of determining an elliptic orbit from three observations, and communicated to that body in 1851 a new method of calculating planetary perturbations by means of rectangular coordinates (republished in W.

  • The vertical relief of the land above the ocean is a very important factor in determining the climate as well as the distribution of the fauna and flora of a continent.

  • There is, besides, a powerful determining cause in the uniform character and undivided extent of its dry interior.

  • Of the several attempts to cross Western Australia, even Major Warburton's expedition, the most successful, had failed in the important particular of determining the nature of the country through which it passed.

  • The chief authority for determining whether these conditions are satisfied or not is the Federal arbitration court.

  • Him succeeded, not only in showing that such a difference exists, but in measuring it, and hence determining a tolerably approximate value of the mechanical equivalent of heat.

  • The determining episode of his life followed soon after his return to Assisi; as he was riding he met a leper who begged an alms; Francis had always had a special horror of lepers, and turning his face he rode on; but immediately an heroic act of self-conquest was wrought in him; returning he alighted, gave the leper all the money he had about him, and kissed his hand.

  • Pollock has taken pains to show how nearly Spinoza approaches certain ideas contained in the modern doctrine of evolution, as for example that of sell-preservation as the determining force in things.

  • Beyerinck was led to take up the decided position just mentioned by his researches into the conditions determining the formation of plant-galls as the result of injury by insects.

  • Thus he demonstrated that the forms of the land exercise a directive and determining influence on climate, plant life, animal life and on man himself.

  • The geological structure and the mineral composition of the rocks are often the chief causes determining the character of the land forms of a region.

  • logical, political and commercial development of the subject runs the determining control exercised by crust forms acting directly or indirectly on mobile distributions; and this is the essential principle of geography.

  • Among the later followers of Basilides, actual magic played a determining part.

  • The most celebrated among the many reform decrees issued by Gregory was the constitution determining for the first time the form of conclave at papal elections, which in large measure has remained ever since the law of the church.

  • The commercial importance of such free interchange of traffic is the controlling factor in determining the gauge of any new railway that is not isolated by its geographical position.

  • Now was to be seen the determining influence of sea-power even in those days.

  • History had always been a favourite study with him, and Mably's Observations sur l'histoire appears to have had considerable influence in determining him to the choice of some special period for historic research.

  • He therefore abstained from determining for each case the specific heats of the solutions he employed, and contented himself with the above approximation.

  • The same type of calorimeter is used in determining the heat of solution of a solid or liquid in water.

  • The mountain mass, moreover, is not less important in causing a complete separation between the atmospheric conditions on its opposite flanks, by reason of the extent to which it penetrates that stratum of the atmosphere which is in contact with the earth's surface and is effective in determining climate.

  • Since 1890 further and more rigorous application of the telegraphic method of determining longitudes differentially with Greenwich has resulted in a slight correction (amounting to about 2" of arc) to the previous determination by the same method through Suez.

  • The period from about 1880 has been an era of boundary-making in Asia, of defining the politicogeographical limits of empire, and of determining the responsibilities of government.

  • The diurnal mountain winds are very strongly marked on the Himalaya, where they probably are the most active agents in determining the precipitation of rain along the chain - the monsoon currents, as before stated, not penetrating among the mountains.

  • At a printing-press established in Walther's house by Regiomontanus, Purbach's Theoricae planetarum novae was published in 1472 or 1473; a series of popular calendars issued from it, and in 1474 a volume of Ephemerides calculated by Regiomontanus for thirty-two years (1474-1506), in which the method of "lunar distances," for determining the longitude at sea, was recommended and explained.

  • would give negative, surd or imaginary values; Diophantus then traces how each element of the equation has arisen, and formulates the auxiliary problem of determining how the assumptions must be corrected so as to lead to an equation (in place of the "impossible" one) which can be solved rationally.

  • Kepler's Problem, namely, that of finding the co-ordinates of a planet at a given time, which is equivalent - given the mean anomaly - to that of determining the true anomaly, was solved approximately by Kepler, and more completely by Wallis, Newton and others.

  • Their recollection of his conduct during the congress of Chatillon was the determining fact at this crisis; his professions at Lyons or Paris had not the slightest effect; his efforts to detach Austria from the coalition, as also the feelers put forth tentatively by Fouche at Vienna, were fruitless.

  • The material, brick and terra-cotta, is the determining cause of the characteristics of north Italian Gothic 1 This palace was originally the property of the Pesaro family, and afterwards of the duke of Este, and finally of the republic, which used it as a dwelling-place for royal guests before letting it to Turkish merchants.

  • The Congressional Enabling Act of the 30th of April 1802 followed that alternative of the North-West Ordinance which provided for five states in determining the boundaries, and in consequence the Indiana and Michigan districts were detached.

  • Cotton seed meal, in the absence of sufficient stock to consume it, is also used extensively as a fertilizer, and for this purpose it is worth, determining the price on the same basis as used above for the seed, from $19 to $20 per ton.

  • In addition to these two necessary factors, structural conditions play an important part in determining the accumulation of oil and gas.

  • The political motives of these three princes, and the interaction of their different policies, was thus a great factor in determining the course and the results of the First Crusade.

  • The influence of the Italian towns did not make itself greatly felt till after the end of the First Crusade, when it made possible the foundation of a kingdom in Jerusalem, in addition to the three principalities established by Bohemund, Baldwin and Raymond; but during the course of the Crusade itself the Italian ships which hugged the shores of Syria were able to supply the crusaders with provisions and munition of war, and to render help in the sieges of Antioch and Jerusalem.4 Sea-power had thus some influence in determining the victory of the crusaders.

  • 2) is held by some to point to the Essenes; if this be so, it is not chronologically precise, since we have not the means of determining the beginning of the movement of thought that issued in Essenism.

  • The data are not numerous and distinct enough to settle the question beyond determining general limits: for reasons given above the book can hardly have been composed before about zoo B.C., and if, as is probable, a Septuagint translation of it was made (though the present Septuagint text shows the influence of Aquila), it is to be put earlier than 50 B.C. Probably also, its different parts are of different dates.

  • The great difficulty which has been felt by investigators in determining the character and attributes of the god Baal mainly arises from the original.

  • The history of Baalism among the Hebrews is obscured by the difficulty of determining whether the false worship which the prophets stigmatize is the heathen worship of Yahweh under a conception, and often with rites, which treated him as a local nature god; or whether Baalism was consciously recognized to be distinct from Yahwism from the first.

  • Below are set forth the methods of determining and dealing with such orbits.

  • The problem of determining an orbit may be regarded as coeval with Hipparchus, who, it is supposed, found the moving positions of the apogee and perigee of the moon's orbit.

  • The modern method of determining orbits from three or four observations was first developed by C. F.

  • In 1892 Dorpfeld began a series of excavations in the district between the Acropolis and the Pnyx with the object of determining the situation of the buildings described by Pausanias as existing in the neighbourhood of the Agora, and more especially the position of the Enneacrunus fountain.

  • Ignatius returned to Venice in the middle of January 1524; and, determining to devote himself for a while to study, he set out for Barcelona, where he arrived in Lent.

  • It is necessary, therefore, to avoid reactions involving such intermolecular migrations when determining the orientation of aromatic compounds.

  • It is well known that singly, doubly and trebly linked carbon atoms affect the physical properties of substances, such as the refractive index, specific volume, and the heat of combustion; and by determining these constants for many substances, fairly definite values can be assigned to these groupings.

  • Standard solutions are prepared by weighing out the exact amount of the pure substance and dissolving it in water, or by forming a solution of approximate normality, determining its exact strength by gravimetric or other means, and then correcting it for any divergence.

  • A factor of considerable importance in determining boiling-points of isomers is the symmetry of the molecule.

  • In such crystals each component plays its own part in determining the physical properties; in other words, any physical constant of a mixed crystal can be calculated as additively composed of the constants of the two components.

  • These two works interrupted the execution of the Ring and formed the stepping-stones to Parsifal, a work which may perhaps be said to mark a further advance in that subtlety of poetic conception which, as we have seen, gave the determining impulse to Wagner's true musical style.

  • The compiler, in combining these materials, is called upon to examine the various sources of information, and to form an estimate of their value, which he can only do if he have himself some knowledge of surveying and of the methods of determining positions by astronomical observation.

  • more surprising as the Chinese astronomers are credited with having made use of the gnomon as early as 1000 B.C. for determining latitudes.

  • The ocean separating Europe from he was dependent upon dead reckoning, for although various methods for determining a longitude were known, the available astronomical ephemerides were not trustworthy, and errors of 30 in longitude were by no means rare.

  • 5 A When Hs was translated we have no definite means of determining.

  • This, however, is not immediately connected with the Passover, and is of more significance as determining the exact date of Pentecost.

  • There is no means of determining the date of his conversion.

  • Maw, explored the central part of the Great Atlas with the special object of investigating its flora and determining its relation to that of the mountains of Europe.

  • Many experiments have been made with a view of separating the two potential-differences which must exist in any cell made of two metals and a liquid, and of determining each one individually.

  • Hitherto the example of the Roman Church had exercised no exclusive determining influence on ritual development even in the West.

  • by determining the rotation of the plane of polarization of a solution, or, chemically, by taking advantage of its property of reducing alkaline copper solutions.

  • Volumetric methods are used, but the uncertainty of the end of the reaction has led to the suggestion of special indicators, or of determining the amount of cuprous oxide gravimetrically.

  • The development of the rubber industry has now reached a stage at which more exact methods of determining the chemical composition and physical properties (strength and elasticity) of rubber are required.

  • The fear of being imprisoned in a convent for the rest of her life was the determining cause of her irresistible outburst of energy.

  • While determining its atomic weight, he thought it desirable, for the sake of accuracy, to weigh it in a vacuum, and even in these circumstances he found that the balance behaved in an anomalous manner, the metal appearing to be heavier when cold than when hot.

  • Now a11A11= alla22a33...ann, wherein all is not to be changed, but the second suffixes in the product a 22 a 33 ...a nn assume all permutations, the number of transpositions necessary determining the sign to be affixed to the member.

  • If 4) = rx.sx, the Y2 =1 normal form of a:, can be shown to be given by (rs) 4 .a x 4 = (ar) 4s: 6 (ar) 2 (as) 2rxsy -I- (as) 4rx; 4) is any one of the conjugate quadratic factors of t, so that, in determining rx, sx from J z+k 1 f =o, k 1 is any root of the resolvent.

  • 2 - 9 m 2 (1 3 m 2)) 2 we have a cubic equation for determining m 2 as a function of the absolute invariant.

  • To determine them notice that R = (a6) and then (f, a 5) 5 = - R 5 (k1 +k2+k3) (f, a 4 5) 5 = - 5R5 (m 1 k 1+ m 2 k 2+ m 3 k 3), (f, a352) 5 = -10R5 (m21ke +m2k2+m3k3) three equations for determining k 1, k2, k3.

  • These were drawn up in the language of the country, a Romance dialect (1288 being the date of the most ancient written code), and are remarkable for the manner in which they define the rights of the sovereign, determining the reciprocal obligations of the viscount and his subjects or vassals.

  • Newcomb, was used from 1882 to 'goo; and since then the value 8.80" has been employed, having been adopted at a Paris conference in 1896.1 Five fundamentally different methods of determining the distance of the sun have been worked out and applied.

  • Owing to the difficulties inherent in determining the position of so faint an object among a great number of stars, the results have taken about ten years to work out.

  • Since then, two elaborate series of observations made with the zenith telescope for the purpose of determining the variation of latitude and the constant of aberration have been carried on by Professor C. L.

  • Of the three methods which have been described, the first two are generally the most suitable for determining the moment or the magnetization of a permanent magnet, and the last for studying the changes which occur in the magnetization of a long rod or wire wl?E:n subjected to various external magnetic forces, or, in other words, for determining the relation of I to H.

  • Under the influence of the transient current, the galvanometer needle undergoes a momentary deflection, or " throw," which is proportional to Q, and therefore to 8B, and thus, if we know the deflection produced by the discharge through the galvanometer of a given quantity of electricity, we have the means of determining the value of 8B.

  • The ballistic method is largely employed for determining the relation of induction to magnetizing force in samples of the iron and steel used in the manufacture of electrical machinery, and especially for the observation of hysteresis effects.

  • Several arrangements have been devised for determining hysteresis more easily and expeditiously than is possible by the ballistic method.

  • The method, though tedious in operation, is very accurate, and is largely employed for determining the magnetic quality of bars intended to serve .as standards.

  • - Since in air B = H, the ballistic method of measuring induction described above is also available for determining the strength of a magnetic field, and is more often employed than any other.

  • The primary coil carried the magnetizing current; the secondary, which was wound inside the other, could be connected either with a ballistic galvanometer for determining the induction, or with a Wheatstone's bridge for measuring the resistance, whence the temperature was calculated.

  • Soc. d'Encouragement, 1898, pp. 36-76), chiefly with the object of determining their suitability for the construction of permanent magnets.

  • Owing to the difficulty of determining the magnetization I and the susceptibility K with accuracy, it has not yet been possible to submit this formula to a quantitative test, but it is said to afford an indication of the results given by actual experiment.

  • It is not surprising that with so highly developed an arterial system Limulus and Scorpio should have a highly developed mechanism for determining the flow of blood to the respiratory organs.

  • The fundamental method of research which Riemann employed has just been alluded to; the results will be best indicated in his own words: "The methods in use hitherto for treating functions of a complex variable always started from an expression for the function as its definition, whereby its value was given for every value of the argument; by our investigation it has been shown that, in consequence of the general character of a function of a complex variable, in a definition of this sort one part of the determining conditions is a consequence of the rest, and the extent of the determining conditions has been reduced to what is necessary to effect the determination.

  • In the Berlin Memoirs for 1778 and 1783 Lagrange gave the first direct and theoretically perfect method of determining cometary orbits.

  • 1825) he devised a method for determining vapour densities at temperatures up to 1400° C., and, partly with F.

  • The difficulty of determining in any case the exact significance of the title of a German count, illustrated by the above, is increased by the fact that the title is generally heritable by all male descendants, the only exception being in Prussia, where, since 1840, the rule of primogeniture has prevailed and the bestowal of the title is dependent on a rent-roll of £3000 a year.

  • The proud minister had been resisted p in his plans of reform at home by the Jesuits, and, determining to attack the power of the order, first deprived them of all temporal power in the state of Maranhao and Para.

  • To this Scotus opposed an indeterminism of the extremest type, describing the will as the possibility of determining itself motivelessly in either of two opposite senses.

  • (1235-1270), the last man of genius whom the Arpads produced, did something to curb the aristocratic misrule which was to be one of the determining causes of the collapse Bela IV.

  • 4to, Paris, 1799) contains methods for calculating the movements of translation and rotation of the heavenly bodies, for determining their figures, and resolving tidal problems; the second, especially dedicated to the improvement of tables, exhibits in the third and fourth volumes (1802 and 1805) the application of these formulae; while a fifth volume, published in three instalments, 1823-1825, comprises the results of Laplace's latest researches, together with a valuable history of progress in each separate branch of his subject.

  • (iv.) Thus the problems of determining the roots of an equation P = o and of finding the factors of P, when P is a rational integral function of x, are the same.

  • a succession of numbers corresponding to the numbers I, 2, 3, ...) which possesses the property that, by starting far enough in the sequence, the range of variation of all subsequent terms can be made as small as we please, but (x+h) n always lies between the two values determining the range.

  • Cubic equations were solved geometrically by determining the intersections of conic sections.

  • His method for determining approximate values of the roots of equations is far in advance of the Hindu method as applied by Cardan, and is identical in principle with the methods of Sir Isaac Newton and W.

  • Anne's only daughter, Suzanne, had married in 1505 her cousin, Charles of Bourbon, count of Montpensier, the future constable; and the question of the succession of Suzanne, who died in 1521, was the determining factor of the treason of the constable de Bourbon (1523).

  • His father advised him to revise his philological and philosophical studies, and read over Calvin's Institutions, before finally determining.

  • Conditions affecting the cost of opening, developing and working the mine or determining the methods to be adopted.

  • Submarine activity in the open Mediterranean and Aegean had no small influence in determining the final abandonment of the Gallipoli enterprise and in preventing its resumption in the later stages of the war.

  • As a rule these equations are established immediately by determining the component acceleration of the fluid particle which is passing through (x, y, z) at the instant t of time considered, and saying that the reversed acceleration or kinetic reaction, combined with the impressed force per unit of mass and pressure-gradient, will according to d'Alembert's principle form a system in equilibrium.

  • 22 „ determining the age of their predecessors or of past events.

  • He seems to have left the defence of his kingdom to others, occupying himself with the more congenial work of excavating the foundation records of the temples and determining the dates of their builders.

  • The systems with the highest dates are placed first in the list; where a writer has produced more than one system, these are grouped together, the highest dates proposed by him determining his place in the series.

  • Moreover, there will always be a difficulty in determining what belongs to his actual vision and what to the literary skill or free invention of the author, seeing that the visionary must be dependent on memory and past experience for the forms and much of the matter of the actual vision.

  • How much of this is fabulous there seems no means at present of determining, but some of the statements are made by veracious travellers - D'Orbigny and Tschudi.

  • Fischer has proposed formulae for the important disaccharoses, and in conjunction with Armstrong devised a method for determining how the molecule was built up, by forming the osone of the sugar and hydrolysing, whereupon the hexosone obtained indicates the aldose part of the molecule.

  • In the mechanical analysis of the soil, after separation of the stones and fine gravel by means of sieves, the remainder of the finer earth is subjected to various processes of sifting and deposition from water with a view of determining the relative proportions of sand, silt and clay present in it.

  • Very slight differences in climate appear to cause very great differences in the quality of the tobacco, and ordinary meteorological records are of little use in determining the suitability or not of a region for a particular kind of leaf; this essential point must be determined by experiment.

  • In regard to methods and apparatus, mention should be made of his improvements in the technique of organic analysis, his plan for determining the natural alkaloids and for ascertaining the molecular weights of organic bases b y means of their chloroplatinates, his process for determining the quantity of urea in a solution - the first step towards the introduction of precise chemical methods into practical medicine - and his invention of the simple form of condenser known in every laboratory.

  • The chief of these are the following: the relation of vassal and lord; the principle that every holder of land is a tenant and not an owner, until the highest rank is reached, sometimes even the conception rules in that rank; that the tenure by which a thing of value is held is one of honourable service, not intended to be economic, but moral and political in character; the principle of mutual obligations of loyalty, protection and service binding together all the ranks of this society from the highest to the lowest; and the principle of contract between lord and tenant, as determining all rights, controlling their modification, and forming the foundation of all law.

  • But the members of the feudal court met, not to fulfil a duty owed to the community, but a private obligation which they had assumed in return for the fiefs they held, and in the history of institutions it is differences of this sort which are the determining principles.

  • A counterpoise was placed on the solenoid end of the balance beam to act against the attraction of the solenoid, the position of the counterpoise determining the length of the arc in the crucible.

  • The decisive factor in determining membership in the League was the historical right of the citizens of a town to participate in Hanseatic privileges abroad.

  • He probably worked some two generations before the time of Moronobu, but there is no reason to believe that his labors had any material share in determining the creation and trend of the new school.

  • He was the first to employ mercury for the air-pump, and devised a method of determining longitude at sea by observations of the moon among the stars.

  • In Naevius, Plautus, Ennius and Cato are represented the contending forces which strove for ascendancy in determining what was to be the character of the new literature.

  • Hence the end of the Social war, and of the Civil war, which arose out of it, is most clearly a determining factor in Roman literature, and to.

  • Other methods consist in determining the vapour tension by means of the vaporimeter of Geissler, or the boiling point by the ebullioscope.

  • Dielectric constant.-Since all electric charge consists in a state of strain or polarization of the dielectric, it is evident that the physical state and chemical composition of the insulator must be of great importance in determining electrical phenomena.

  • The simplest method of determining it numerically is, therefore, that adopted by Faraday.4 Table Dielectric Constants (K) of Solids (K for Air = I).

  • Whether, however, these were taken immediately by Pope from Shaftesbury, or whether they came to him through the papers which Bolingbroke had prepared for his use, we have no means of determining.

  • No rule can be given for determining with certainty the day on which any given Jewish year begins without entering into the minutiae of their irregular and complicated calendar.

  • The Self as a primary, determining entity, he would not therefore admit.

  • Practical Determination Of Densities The methods for determining densities may be divided into two groups according as hydrostatic principles are employed or not.

  • In the group where the principles of hydrostatics are not employed the method consists in determining the weight and volume of a certain quantity of the substance, or the weights of equal volumes of the substance and of the standard.

  • The separate determination of the volume and mass of such substances as gunpowder, cotton-wool, soluble substances, &c., supplies the only means of determining their densities.

  • It consists in determining the air expelled from a vessel by the vapour of a given quantity of the substance.

  • These are hollow glass beads of variable density; they may be prepared by melting off pieces of very thin capillary tubing, and determining the density in each case by the method just previously described.

  • Biltz, Practical Methods for determining Molecular Weights (1899).

  • Gutbier (Ann., 1905, 34 2, p. 266) by reduction of the dioxide obtained 127.6; Marckwald, by determining the ratio of telluric acid to tellurium dioxide, obtained 126.85; H.

  • Soc., 1907, 91, p. 1849), by determining the ratio of tellurium dioxide to oxygen and by analysis of tellurium tetrabromide, obtained 127.60, and V.

  • Struve also points out that by attaching a fine scale to the focusing slide of the eye-piece, and knowing the coefficient of expansion of the metal tube, the means would be provided for determining the absolute change of the focal length of the object-glass at any time by the simple process of focusing on a double star.

  • The instrument so altered was in use at the Cape Observatory from March 1881 till 1887 in determining the parallax of some of the more interesting southern stars.

  • A special microscope is introduced for determining the division errors of the scales.

  • Of course, for many purposes, mean conditions may be adopted and mean scale-values be found which are applicable with considerable pre cision to small angles or to comparatively crude observations of large distances; but the highest refinement is lost unless means are provided for determining the scale-value for each observer at each epoch of observation.

  • All attempts to dispense with a lead and line and to measure the depth by determining the pressure at the bottom have hitherto failed when applied to depths greater than 200 fathoms; a new hydraulic manometer has been tried on board the German surveying ship " Planet."

  • Sarasin and longer series of experiments by Tornde and Kriimmel this relation is shown to be so close that the salinity of a sample can be ascertained by determining the index of refraction.

  • One portion is used for determining the oxygen and nitrogen, the other for the carbonic acid.

  • Although observations on marine currents were made near land or between islands even in antiquity, accurate observations on the high seas have only been possible since chronometers furnished a practicable method of determining longitude, i.e.

  • strata by means of borings, either for the purpose of determining the Coal resources of Great Britain.

  • As determined the ego is theoretical, as determining it is practical; ultimately the opposed principles must be united by showing how the ego is both determining and determined.

  • The second part deals with chronological and mathematical questions, and has been of great service in determining the principal epochs of ancient history.

  • Another circumstance determining the bent of his mind was the character of the time.

  • Tradition reports that this pamphlet had considerable weight in determining the ministry to retain Canada.

  • We reach surer ground after the Conquest, for then the great seals, monumental effigies, and coins become more and more serviceable in determining the forms the crown took.

  • They are seen to be united under the relation of cause and effect, determining and determined, which turns out to mean that they are merely passing manifestations of some single entity or energy which constitutes the real unknown essence of the things that come before our knowledge.

  • It was used for taking the altitudes of sun, moon and stars; for calculating latitude; for determining the points of the compass, and time; for ascertaining heights of mountains, &c.; and for construction of horoscopes.

  • Many experiments have been made with a view to determining the difference in chemical constitution of marcasite and pyrites, but with no very definite results.

  • The process of determining the area or volume of a given figure therefore involves two separate processes; viz.

  • the direct measurement of certain magnitudes (usually lengths) in terms of a unit, and the application of a formula for determining the area or volume from these data.

  • It is also convenient to regard as coming under mensuration the consideration of certain derived magnitudes, such as the moment of a plane figure with regard to a straight line in its plane, the calculation of w]iich involves formulae which are closely related to formulae for determining areas and volumes.

  • In the case, therefore, of any solid whose cross-section at distance x from one end is a quadratic function of x, the position of the crosssection through the centroid is to be found by determining the position of the centre of gravity of particles of masses proportional to So, S2, and 4S 1, placed at the extremities and the middle of a line drawn from one end of the solid to the other.

  • There is a tendency, moreover, to accord to the conferences the function of determining the tests of ministerial standing in the Congregational denomination.

  • system was consolidated by the Educational Unification Act of 1904, in conformity with which the university regents have become a legislative body, subordinate to the state legislature, for determining the general educational policy of the state, and a commissioner of education acts as the chief executive, advisory and supervisory,.

  • The remaining history of the Ottoman Empire up to Dec. 1921 has chiefly to do with the deliberations of the Allied Conference in determining the conditions of peace.

  • Experiments, which will be described most conveniently when we discuss methods of determining the frequencies of sources, prove conclusively that for a given note the frequency is the same whatever the source of that note, and that the ratio of the frequencies of two notes forming a given musical interval is the same in whatever part of the musical range the two notes are situated.

  • An obvi us method of determining the velocity of sound in air consists in starting some sound, say by firing a gun, and stationing an observer at some measured distance from the gun.

  • We shall now describe some of the methods of determining frequency.

  • Determining to enter active politics, he gave up his legal studies without qualifying for the bar, and in 1881 was elected to the New York legislature as a regular Republican, although in opposition to the "boss" of the assembly district for which he was a candidate.

  • The development of the theory of structures has been largely directed to determining the arrangements of material which are most economical, especially in the superstructure.

  • In finding the line of pressure some principle such as the principle of least action must be used in determining the reactions at the crown and springings, and some assumptions must be made of not certain validity.

  • For longer bridges the funicular polygon affords a method of determining maximum bending moments which is perhaps more convenient.

  • Many assumptions are made in treating of the flexure of a continuous structure which are not strictly true; no assumption is made in determining the stresses on a frame except that the joints are flexible, and that the frame shall be so stiff as not sensibly to alter in form under the load.

  • In 1849 he published the first results obtained by his method for determining the speed of propagation of light (see Light), and in 1850 with E.

  • Nor were the Greek signs without effect in determining the names of the manazil, 2 the late appearance of which, in a complete form, removes all difficulty in accounting for the various foreign influences brought to bear upon them.

  • Another factor, and that the determining one, soon came to the aid of the Greeks.

  • Camerarius, professor of botany and medicine at Tubingen, published a letter on the sexes of plants, in which he refers to the stamens and pistils as the organs of reproduction, and states the difficulties he had encountered in determining the organs of Cryptogamic plants.

  • Personal rather than doctrinal reasons had by far the larger part in determining the fate of Nestorius, who was sacrificed to the agreement between the two great schools.

  • In 1615 he planned and carried into practice a new method of finding the dimensions of the earth, by determining the distance of one point on its surface from the parallel of another, by means of a triangulation.

  • First, however, it is necessary to describe briefly the origin and previous history of these romantic freebooters who during the second half of the 17th century were the determining factor of Polish and Muscovite politics.

  • But at all three elections, though money and intrigue were freely employed, they were not the determining factors of the contest.

  • on matters of faith arose, "a lawful and free council, determining according to Scripture, is the best judge on earth."

  • the Old Body) is a mixture of Presbyterianism and Congregationalism; each church manages its own affairs and reports (1) to the district meeting, (2) to the monthly meeting, the nature of each report determining its destination.

  • The Associations of North and South are distinct institutions, deliberating and determining matters pertaining to them in their separate quarterly gatherings.

  • of the Jewish text and of the Samaritan text of the Pentateuch, the establishing of a critical text of the Septuagint, a careful study of the several versions directed to determining when real variants are implied and what they are.

  • He carried criticism beyond literary analysis and literary appreciation to the task of determining the worth of the documents as records, the validity of the evidence.

  • The figures are in most, if not in all cases artificial, though the means now fail us of determining upon what principles they were calculated.

  • Accordingly we lack the materials for determining the distinction which probably existed between the roeh, the hozeh and the kosem.

  • In relation to the earliest social stage, we need consider nothing but the amount of labour employed in the production of an article as determining its exchange value; but in more advanced periods price is complex, and consists in the most general case of three elements - wages, profit and rent.

  • In addition to this simple meaning it has also, both in the philosophical and the colloquial speech of India a technical meaning, denoting "a person's deeds as determining his future lot."

  • The mutual relations of palaeontology and embryology and comparative anatomy as means of determining the ancestry of animals are most interesting.

  • The determining factor is no doubt to be sought in his relationship with C. Marius, the husband of his aunt Julia.

  • The method of determining readings and renderings by vote was not favourable to the consistency and literary character of the Version.

  • latitude, and which made the following grants bearing upon the history of New Hampshire by their inducement to settlement, by determining the boundaries or by causing strife through their conflicts with one another: to John Mason, who has been called " the founder of New Hampshire," on the 9th of March 1622, a grant of the region between the Salem and Merrimac rivers, under the name of Mariana; to John Mason and Sir Ferdinando Gorges jointly, on the loth of August 1622, a grant of the region between the Merrimac and Kennebec rivers for 60 m.

  • Long before his time, however, the issue had been narrowed down to determining exactly how far the pope should be allowed to interfere in French ecclesiastical affairs.

  • This early hostility to Alexius had a great influence in determining the course of his future career, and thereby helped to determine the history of the First Crusade, of which Bohemund may be regarded as the leader.

  • One very helpful factor in determining which is the principal carrier of any form is the coincidence of the zone of a particular insect with that of any disease.

  • While Ronsard and Antoine de Bail were most influenced by Greek models, du Bellay was more especially a Latinist, and perhaps his preference for a language so nearly connected with his own had some part in determining the more national and familiar note of his poetry.

  • In its tertiary stages - and also earlier - this disease yields in the most rapid and unmistakable fashion to iodides; so much so that the administration of these salts is at present the best means of determining whether, for instance, a cranial tumour be syphilitic or not.

  • It can be estimated quantitatively by mixing a dilute solution with potassium iodide and hydrochloric acid in excess, adding excess of zinc sulphate, neutralizing the excess of free acid with sodium bicarbonate, and determining the amount of free iodine by a standard solution of sodium thiosulphate.

  • The south-east course of the middle-section rivers is the result of many changes from the initial drainage; the Mesozoic and Tertiary upwarprngs were probably very influential in determining the present general courses.

  • The cuesta begins where its determining limcstone begins, in west-central New York; there it separates the lowlands that contain the basins of lakes Ontario and Erie; thence it curves to the north-west through the province of Ontario to the belt of islands that divide1 Georgian Bay from Lake Huron; then westward throtigh the land-arm between lakes Superior and Michigan, and south-westward into the narrow points that divide Green Bay from Lake Michigan, and at last westward to fade away again with the thinning out of the limestone; it is hardly traceable across the Mississippi river.

  • Several rapids and the Falls of St Anthony (determining the site of Minneapolis) are signs of immaturity, resulting from superposition through the drift on the under rock.

  • The tilting of the great block resulted in presenting a strong slope to the east, facing the deserts of the Basin Range province and in large measure determining their aridity; and a long moderate slope to the west.

  • The aggregate thickness of the Proterozoic systems in the Lake Superior region is several miles, as usually computed, but there are obvious difficulties in determining the thickness of such great systems, especially when they are mtich metamorphosed.

  • Oil was produced in 1908 in sixteen states., This productive area is divided by the United States Geological Survey into six fields (in addition to some scattering states) with reference to the quality of oil that they produce, such quality determining their uses.

  • He does not, however, enjoy a free hand in finally determining the foreign policy of the government.

  • 7r72, which, in reality, is equivalent tol determining a square equal in area to a circle, engaged the attention of mathematicians for many centuries.

  • 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.

  • He accepted also the division into five zones; he quotes approvingly the assertion of Hipparchus that it was impossible to make real advances in geography without astronomical observations for determining latitudes and longitudes.

  • To collate a manuscript is to observe and record everything in it which may be of use towards determining what stood in the source or the sources from which it is derived.

  • This analysis does not disclose, nor indeed is it possible to discover, what was the determining element for Tertullian; in fact he was under the dominion of more than one ruling principle, and he felt himself bound by several mutually opposing authorities.

  • This is called the Dionysian or Great Paschal Period, from its having been employed by Dionysius Exiguus, familiarly styled " Denys the Little," in determining Easter Sunday.

  • Appended to the London edition of the solar and lunar tables are two short tracts - the one on determining longitude by lunar distances, together with a description of the repeating circle (invented by Mayer in 1752), the other on a formula for atmospheric refraction, which applies a remarkably accurate correction for temperature.

  • 15Swp, water, and p rpov, a measure), an instrument for determining the density of bodies, generally of fluids, but in some cases of solids.

  • c. 52, § 123, it was further enacted that the same instruments and methods should be employed in determining the duty upon imported spirits as should in virtue of any Act of Parliament be employed in the determination of the duty upon spirits distilled at home.

  • The disappointment thus inflicted on Russia was a determining cause of the outbreak of the Crimean War (see Kinglake, Invasion of the Crimea, chap. iii.).

  • In the solution of this problem the common sense of Wellington and of Castlereagh, with whom the duke worked throughout in complete harmony, played a determining part; it was mainly owing to their influence that France escaped the dismemberment for which the German powers clamoured, and which was advocated for a while by Lord Liverpool and the majority of the British cabinet.

  • But occasionally one or more drafts are mixed together, when price is the determining factor.

  • This looks indeed as if the square of the period were the determining quantity.

  • Experiment (c) is, however, generally taken to mean that this closeness of packing cannot be the sole determining cause, for it is argued that if a closed vacuum tube can show both wide and narrow lines according to the mode of discharge, density alone cannot account for the change.

  • When we compare together electric discharges the intensity of which is altered by varying, the capacity, we are unable to form an opinion as to whether the effects observed are due to changes in the density of the luminous material or changes of temperature, but the experiments of Sir William and Lady Huggins 1 with the spectrum of calcium are significant in suggesting that it is really the density which is also the determining factor in cases where different concentrations and different spark discharges produce a change in the relative intensities of different lines.

  • Somewhere about this period of More's life two things happened which gave in opposite directions the determining impulse to his.

  • Further, according to Fichte, on the one hand the Ego posits itself as determined through the non-Ego - no object, no subject; this is the principal fact about theoretical reason; on the other hand, the Ego posits itself as determining the non-Ego - no subject, no object; this is the principal fact about practical reason.

  • No real advance in metaphysics can take place, and natural science itself is in some danger, until the true history of the evidences of the laws of mechanical force is restored; and then it will soon appear that in the force of collision what we know is not material points determining one another's opposite accelerations, but bodies by force of impenetrable pressure causing one another to keep apart.

  • At the same time, while the independence of metaphysics leads us to metaphysical realism, this is not to deny the value of psychology, still less of logic. Besides the duty of determining what we know, there is the duty of determining how we know it.

  • The telescope B serves to observe the scale attached to the magnet when determining the magnetic meridian, and to observe the sun or star when determining the geographical meridian.

  • The above method of determining the geographical meridian has the serious objection that it is necessary to know the error of the chronometer with very considerable accuracy, a matter of some difficulty when observing at any distance from a fixed observatory.

  • Hence in more recent patterns of magnetometer it is usual to do away with the transit mirror method of observing and either to use a separate theodolite to observe the azimuth of some distant object, which will then act as a fixed mark when making the declination observations, or to attach to the magnetometer an altitude telescope and circle for use when determining the geographical meridian.

  • In the case of the Kew pattern unifilar the same magnet that is used for the declination is usually employed for determining H, and for the purposes of the vibration experiment it is mounted as for the observation of the magnetic meridian.

  • Creak, and has been found to give satisfactory results on board ship. The circle is provided with two needles in addition to those used for determining the dip, one (a) an ordinary dip needle, and the other (b) a needle which has been loaded at one end by means of a small peg which fits into one of two symmetrically placed holes in the needle.

  • The determining factor in politics was the conduct of the war.

  • How much older they may have been we have no means of determining, but our authorities agree in assigning to them a dateless antiquity.

  • There is some difficulty in determining how far the Essenes separated themselves locally from their fellow-countrymen.

  • In 1767 he published a volume of sermons, which gained him the acquaintance of Lord Shelburne, an event which had much influence in raising his reputation and determining the character of his subsequent pursuits.

  • He was presented with the freedom of the city of London, and it is said that his pamphlet had no inconsiderable share in determining the Americans to declare their independence.

  • The Russian explorer Prjevalsky, although he was not, strictly speaking, an explorer of Tibet, did much incidentally towards determining the conformation of its north-eastern and eastern mountain systems. His third journey Explorers.

  • The analysis of air was conducted by determining the amount of oxygen present and assuming the remainder to be nitrogen.

  • ("On an Anomaly encountered in determining the Density of Nitrogen Gas," Proc. Roy.

  • Idiosyncrasy plays a considerable part in determining the effects, some people being particularly susceptible; death has occurred in five minutes from the appearance of the first symptoms, but when a narcotic has been administered at the same time as the poison the development is proportionately slow.

  • Hippocrates, writing about 450 B.C., expresses his belief in the influence of environment in determining disposition, and in the reaction of these upon feature, 4 a view in which he is supported later by Trogus.

  • There are several weak points in this reasoning, and a more accurate way of determining the best proportions is to try different mixtures of cement, stones and sand, filling them into different pails of the same size, and then ascertaining, by weighing the pails, which mixture is the densest.

  • In determining the amount of water to be added, several things must be considered.

  • Colour, therefore, must be correlated with some determinant (determining factor) for pattern, and it cannot, therefore, exist alone in an animal's coat.

  • This etymological connexion, suggested by Jensen (Kosmologie, 84), brings the festival of Purim into close relation with the Babylonian New Year festival known as Zagmuku, in which one of the most prominent ceremonials was the celebration of the assembly of the gods under the presidency of Marduk (Merodach) for the purpose of determining the fates of the New Year.

  • Local conditions of exposure to the sun, protection from cold winds, or the reverse, are of primary importance in determining the climate and the corresponding vegetation.

  • In determining the choice of stocks, the nature of the soil in which the grafted trees are to grow should have full weight.

  • The characters employed by experts for determining a species of yeast are the sum of its peculiarities as regards form and size: the shapes, colours, consistency, &c., of the colonies grown on certain definite media; the optimum temperature for spore-formation, and for the development of the "veils"; and the behaviour as regards the various sugars.

  • There he remained for thirteen years, and it was during this period that he devised his well-known method for determining vapour densities, and carried out his experiments on the dissociation of the halogens.

  • Whereas carbon renders isomerism possible in organic compounds, cobalt and platinum are the determining elements in inorganic chemistry, the phenomena being exhibited especially by complex ammoniacal derivatives.

  • An example may prove this, but before quoting it, the question of determining b must be decided; this results immediately from the above quotation, b being the volume Vat the absolute zero (T =0); so the volume of isomers ought to be compared at the absolute zero.

  • In philosophy he found the basis for positing a, collective human will, revealing in its activities the materials for determining ethical laws.

  • The chief difficulty in this method lay in determining the effective distances of the bulbs of the thermometers from the axis of the cylinder, and in ensuring uniformity of flow of heat along different radii.

  • Feeling, which Epicurus declared to be the means of determining what is good, is subordinated to a reason which adjudicates between competing pleasures with the view of securing tranquillity of mind and body.

  • Baille about 1870 a repetition of Cavendish's experiment for determining the mean density of the earth, his original work was mainly concerned with.

  • It is by no means an injudicious plan before laying out a system of water-meadows, which is intended to be at all extensive, to prepare a small trial plot, to aid in determining a number of questions relating to the nature and quantity of the water, the porosity of the soil, &c.

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