Volume Sentence Examples
Yes, they admitted it appeared a large volume of tips bore mutual similarities.
The books are large, about the size of a volume of an encyclopedia.
The first volume contains some French texts, and the second a detailed discussion of the various versions from the pseudo-Callisthenes downwards.
Dean repeated at a higher volume.
The amount of water that escapes from plants through transpiration is clearly miniscule compared to the volume of water evaporating from oceans.
On account of the smallness of the particles, the forces acting throughout the volume of any individual particle are all of the same intensity and direction, and may be considered as a whole.
But as she was not able to find her copy, and applications for the volume at bookstores in Boston, New York, Philadelphia, Albany, and other places resulted only in failure, search was instituted for the author herself.
A volume of Selected Speeches was published in 1879.
Due to the high volume of guests, reservations are recommended during weekdays and required on weekends.
Appended to this volume is a complete list of Lotze's writings, compiled by Professor Rehnisch of Gottingen.
AdvertisementCousin dedicated to him the fourth volume of his translation of Plato, and the long dedication is a compressed biography.
North of Sarakhs it diminishes rapidly in volume till it is lost in the sands of the Turkman desert.
The volume of the flask is determined by weighing empty and filled with water.
It was generally declared by the critics of the volume to be in itself harmless, but was blamed as being found in bad company.
George Sand, who was a firm believer in the doctrine of heredity, devotes a whole volume of her autobiography (Histoire de ma vie, 1857 seq.) to the elaboration of this strange pedigree.
AdvertisementWater traffic, which is chiefly in heavy merchandise, as coal, building materials, and agriculture and food produce, more than doubled in volume between 1881 and 1905.
A greater volume of fire can thus be obtained, but the great height of the cavalier makes it an easy target for a besieger's guns.
In the end, this volume diverges into the Attributes, construing God in the likeness of man via eminentiae.'
Every volume of records we look through contains a mass of detailed information on the economic life of England in the period we are studying.
The 56 volumes published by the Parker Society include only one by its eponymous hero, and that is a volume of correspondence.
AdvertisementHis best known work was Die Betooverde Wereld (1691), or The World Bewitched (1695; one volume of an English translation from a French copy), in which he examined critically the phenomena generally ascribed to spiritual agency, and attacked the belief in sorcery and "possession" by the devil, whose very existence he questioned.
Then they set about a Second Series, which, forming a single volume with fifty-three plates, was finished in 1843.
The first volume of his most famous work, the immortal story - partly adventure, partly moralizing - of The Life and Strange Surprizing Adventures of Robinson Crusoe, was published on the 25th of April 1719.
It ran through four editions in as many months, and then in August appeared the second volume.
The reason for this is readily seen; if a mass M of any gas occupies a volume V at a temperature T (on the absolute scale) and a pressure P, then its absolute density under these conditions is O = M/V; if now the temperature and pressure be changed to l and P,, the volume V l under these conditions is VPT/PIT1, and the absolute density is MP,T/VPT I.
AdvertisementIn 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 ratio "weight to volume" is the absolute density.
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.
The stereometer of Say, which was greatly improved by Regnault and further modified by Kopp, permits an accurate determination of the volume of a given mass of any such substance.
The substance whose volume is to be determined is placed in the cup PE, and the tube PC is immersed in the vessel of mercury D, until the mercury reaches the mark P. The plate E is then placed on the cup, and the tube PC raised until the surface of the mercury in the tube stands at M, that in the vessel D being at C, and the height MC is measured.
Let u represent the volume of air in the cup before the body was inserted, v the volume of the body, a the area of the horizontal FIG.
The volume u may be determined by repeating the experiment when only air is in the cup. In this case v =o, and the equation becomes (u --al l) (h - k') =uh, whence u = al' (h - k l) /k'.
Substituting this value in the expression for v, the volume of the body inserted in the cup becomes known.
It is readily seen that W+W i - W 2 is the weight of the liquid displaced by the solid, and therefore is the weight of an equal volume of liquid; hence the relative density is W/(W+Wi - W2).
The difference in the weights corresponds to the volume of gas at a pressure equal to the difference of the recorded pressures.
To complete the experiment, the graduated tube containing the expelled air is brought to a constant and determinate temperature and pressure, and this volume is the volume which the given weight of the substance would occupy if it were a gas under the same temperature and pressure.
It is necessary to know the volume of the tube above the second level; this may most efficiently be determined by calibrating the tube prior to its use.
In the meantime, however, he printed a volume of his Rugby sermons, to show definitely what his own religious positions were.
The colonial records are preserved with those of New York and Pennsylvania; only one volume of the State Records has been published, and Minutes of the Council of Delaware State, 1776-1792 (Dover, 1886).
The third volume of the Epopees francaises contains an analysis and full particulars of the chansons de geste immediately connected with the history of Charlemagne.
The volume of theological tracts, again recast, was declined by two Basel publishers, Jean Frellon (at Calvin's instance) and Marrinus, but an edition Beza incorrectly makes Servetus the challenger, and the date 1534.
The area, general depth and total volume of the oceans and principal seas have been recalculated by Krt mmel, and the accompanying table presents these figures.
In all areometer work it is necessary to ascertain the temperature of the water sample under examination with great exactness, as the volume of the areometer as well as the specific gravity of the water varies with temperature.
The former determination is made by driving out the dissolved gases from solution and collecting them in a Torricellian vacuum, where the volume is measured after the carbonic acid has been removed.
The oxygen is then absorbed by some appropriate means, and the volume of the nitrogen measured directly, that of the oxygen being given by difference.
It was found that, of the entire volume of occluded gas in an anthracite, only one-third could be expelled at the temperature of boiling water, and that the whole quantity, amounting to 650 cub.
Fire-damp when mixed with from four to twelve times its volume of atmospheric air is explosive; but when the proportion is above or below these limits it burns quietly with a pale blue flame.
Acetylene is readily soluble in water, which at normal temperature and pressure takes up a little more than its own volume of the gas, and yields a solution giving a purple-red precipitate with ammoniacal cuprous chloride and a white precipitate with silver nitrate, these precipitates consisting of acetylides of the metals.
The chief trouble was that acetone expands a small percentage of its own volume while it is absorbing acetylene; therefore it is impossible to fill a cylinder with acetone and then force in acetylene, and still more impracticable only partly to fill the cylinder with acetone, as in that case the space above the liquid would be filled with acetylene under high pressure, and would have all the disadvantages of a cylinder containing compressed acetylene only.
The St John's river of the Basa country appears to be of considerable importance and volume.
This is effected by carrying through the workings a large volume of air which is kept continually moving in the same direction, descending from the surface by one or more pits known as intake or downcast pits, and leaving the mine by a return or upcast pit.
This difficulty was overcome by first filling the cylinder with porous briquettes and then soaking them with a fixed percentage of acetone, so that after allowing for the space taken up by the bricks the quantity of acetone soaked into the brick will absorb ten times the normal volume of the cylinder in acetylene for every atmosphere of pressure to which the gas is subjected, whilst all danger of explosion is eliminated.
For its complete combustion a volume of acetylene needs approximately twelve volumes of air, forming as products of combustion carbon dioxide and water vapour.
The volume of gas obtained, however, depends very largely upon the form of apparatus used, and while some will give the full volume, other apparatus will only yield, with the same carbide, 34 feet.
To those who identify matter with extension, the volume of space occupied by a body is the only measure of the quantity of matter in it.
Let a mixture of gases contain per unit volume v molecules of the first kind, v' of the second kind, and so on.
The number of molecules of the first kind of gas, whose components of velocity lie within the ranges between u and u+du, v and v+dv, w and w+dw, will, by formula (5), be v?l (h 3 m 3 /7 3)e hm (u2+v2+w2)dudvdw (9) per unit volume.
The cylinder is of volume u dt dS, so that the product of this and expression (9) must give the number of impacts between the area dS and molecules of the kind under consideration within the interval dt.
Clearly the integral is the sum of the values of mu g for all the molecules of the first kind in unit volume, thus p=v mu l +v'm'u 2 +...
Since the volume at constant pressure is exactly proportional to the absolute temperature, it follows that the coefficients of expansion of all gases ought, to within the limits of error introduced by the assumptions on which we are working, to have the same value 1/273.
If the volume of the gas is kept constant, we put dv=o in equation (18) and dQ = JC0NmdT, where C v is the specific Specific heat of the gas at constant volume and J is the mechanical equivalent of heat.
At an early age he had made himself familiar with The Pilgrim's Progress, with Locke, On the Human Understanding, and with a volume of The Spectator.
His style in its simplicity, facility and clearness owed something to De Foe, something to Cotton Mather, something to Plutarch, more to Bunyan and to his early attempts to reproduce the manner of the third volume of the Spectator; and not the least to his own careful study of word usage.
Not far from its mouth there is a magnificent fall, a large volume of water falling boo ft.
But Landen's capital discovery is that of the theorem known by his name (obtained in its complete form in the memoir of 1775, and reproduced in the first volume of the Mathematical Memoirs) for the expression of the arc of an hyperbola in terms of two elliptic arcs.
In 1910 he had published a volume of speeches, which was translated into English, and in 1919 he brought out a work on political conflicts and constitutional reform.
Lastly, the work of Celestin Port, Dictionnaire historique, geographique et biographique de Maine-etLoire (3 vols., Paris and Angers, 1874-1878), and its small volume of Preliminaires (including a summary of the history of Anjou), contain, in addition to the biographies of the chief counts of Anjou, a mass of information concerning everything connected with Angevin history.
The Merrimac, the second stream of the state in volume, runs in a charming valley through the extreme northeast corner, and affords immensely valuable water-power at Lowell, Lawrence and Haverhill.
These experiments resulted in the legislation of 1855, when the use of duty-free alcohol mixed with 10% by volume of wood naphtha, known as methylated spirits, was authorized for manufacturing purposes only.
If foodstuffs are to be employed it must be possible to grow them in excess of food requirements, and at a cost low enough to ensure that the price of the alcohol shall be about the same as that 1 The lower calorific value plus the latent heat of evaporation at constant volume.
It obviously attains its maximum in the case of the firing of pure "oxyhydrogen" gas (a mixture of hydrogen with exactly half its volume of oxygen, the quantity it combines with in becoming water,, German Knall-gas).
Many of his theological writings were collected in one volume (Paris, 1622), and at the time of his death in 1623 he was engaged on a translation of the New Testament which is still in manuscript.
Besides a volume of sermons under the title Christ's Healing Touch, Mackennal published The Biblical Scheme of Nature and of Man, The Christian Testimony, the Letters to the Seven Churches of Asia, The Kingdom of the Lord Jesus and The Eternal God and the Human Sonship. These are contributions to exegetical study or to theological and progressive religious thought, and have elements of permanent value.
It is a small octavo volume of 120 parchment leaves, written throughout by Leo," notary and sinner,"who finished his task on the 11th of June 1156.
Certain homilies, accordingly, composed by dignitaries of the lower house, were in the following year produced by the prolocutor; and after some delay a volume was published in 1547 entitled Certain sermons or homilies appointed by the King's Majesty to be declared and read by all parsons, vicars, or curates every Sunday in their churches where they have cure.
The first volume appeared in 1840, the twelfth and last in 1849.
Unresting in her industry, she turned next to the Bachelor Kings of England, about whom she published a volume in 1861.
Though a large and broad river, and in the rains containing a great volume of water, in the hot weather months it dwindles down to an inconsiderable stream.
These are published in the second volume of Gerbert's Scriptores ecclesiastici de musica sacra.
In 1856 he published his first book, Within and Without, a dramatic poem; following it in 1857 with a volume of Poems, and in 1858 by the delightful " faerie romance Phantastes.
Tozer's volume of selections (Oxford, 1893) is useful.
In 1891 the first volume of an edition of the text, with a short commentary taken from al-Anbari, was printed at Constantinople.
The rest of the rivers flowing into the Pacific pass through British Columbia and are much shorter, though the two southern ones carry a great volume of water owing to the heavy precipitation of snow and rain in the Cordilleran region.
An excellent bibliography of Canadian history will be found in the volume Literature of American History, published by the American Library Association.
In the raising of the standard of farming to an English level the volume of the world's crop would be trebled, another fact which Sir William Crookes seems to have overlooked.
The rivers of Euboea are few in number and scanty in volume.
He published in 1910 The Prevention of Malaria, and also produced Psychologies, a volume of poems (1919), and a romance, The Revels of Orsera (1920).
For a defence of Oakes Ames, see Oakes Ames, A Memorial Volume (Cambridge, Mass., 1884).
After his death in 1899 appeared a volume of reminiscences, which, though it does not extend beyond 1866, gives an interesting picture of his share in the revolution of 1848, and of his life in Paris.
C. Lichtenberg and published in one volume (Opera inedita, Gottingen, 1775).
Returning to the south of the Po, the tributaries of that river on its right bank below the Tanaro are very inferior in volume and importance to those from the north.
A third difficulty is the comparatively small tonnage and volume of Italian exports relatively to the imports, the former in 1907 being about one-fourth of the latter, and greatl out of proportion to the relative value; while a fourth is the lac of facilities for handling goods, especially in the smaller ports.
The volume of the Italian budget has considerably increased as regards both income and expenditure.
Mill in the tentative approach to theism found in his posthumous volume (Three Essays on Religion; 1874).
Meanwhile in England, which was ruled by Peter des Roches as justiciar, the discontent had been increasing rather than diminishing, and its volume became much larger owing to an event of May 1214.
The demonstration of these assertions would require a volume, but the general nature of the evidence on which they rest may be briefly indicated.
She published also a small volume of religious poems, and towards the end of her career gave some public readings from her writings.
These show that a definite intake of carbon dioxide is always accompanied by an exhalation of an equal volume of oxygen.
It is marked by the constant and continuous absorption of a certain quantity of oxygen and bythe exhalation of a certain volume of carbon dioxide and water vapour.
A well-developed river system has in fact many equally important and widely-separated sources, the most distant from the mouth, the highest, river or even that of largest initial volume not being necessarily of greater geographical interest than the rest.
In 1836 Wakefield published the first volume of an edition of Adam Smith, which he did not complete.
For instance, in the fowl its volume increases about fifty-fold, growing from some 6 in.
He was also occasionally engaged in preaching, and it was whilst here that he published the first volume of his sermons.
It is a rapid river of considerable volume, and below Erzingan is navigable, down stream, for rafts.
After his death Pibrac, assisted by De Thou and Scevole de Sainte-Marthe, collected a volume of the Poemata of L'Hopital, and in 1585 his grandson published Epistolarum seu Sermonum libri sex.
Gibbon justly describes it as " a golden volume, not unworthy of the leisure of Plato or Tully, but which claims incomparable merit from the barbarism of the times and the situation of the author."
The St Paul, though inferior to the Cavalla in length, is a large river with a considerable volume of water.
The Sino river rises in the Niete mountains and brings down a great volume of water to the sea, though it is not a river of considerable length.
The Moa or Makona river is a fine stream of considerable volume, but its course is perpetually interrupted by rocks and rapids.
Although the administration of the above-mentioned acts of parliament has had a beneficial effect upon the safety of the public, and has enabled an enormous volume of traffic Safety to be handled with celerity, punctuality and absence Y?
If, however, cost within reasonable limits is a secondary consideration and the intention is to build a line adapted for express trains and for the carriage of the largest volume of traffic with speed and economy, he will lean towards the second.
In cases where the route of a line runs across a river or other piece of water so wide that the construction of a bridge is either impossible or would be more costly than is warranted by the volume of traffic, the expedient is sometimes adopted of carrying the wagons and carriages across bodily with their loads on train ferries, so as to avoid the inconvenience and delay of transshipment.
In compound working the combined volumes of the low-pressure cylinders is a measure of the power of the engine, since this represents the final volume of the steam used per stroke.
The volume of the high-pressure cylinder may be varied within wide limits for the same low-pressure volume; the proportions adopted should, however, be such that there is an absence of excessive drop between them as the steam is transferred from one to the other.
On the other hand, where, as in America, the great volume of freight is raw material and crude food-stuffs, and the distances are great, a low charge per unit of transportation is more important than any consideration such as quickness of delivery; therefore full car-loads of freight are massed into enormous trains, which run unbroken for distances of perhaps 1000 m.
The most extreme cases of this belief is the well- - known fable of the "barnacle-geese," an illustrated account of which was printed in an early volume of the Royal Society of London.
Mitchell reprinted the 1567 volume (expurgated) for the Scottish Text Society.
As early as 1875 he published a volume of poems in Gujarati, followed in 1877 by The Indian Muse in English Garb, which attracted attention in England, notably from Tennyson, Max Miller, and Florence Nightingale.
A slight attack of apoplexy on the 4th of February 1858 foretold the end, though he persevered with the preparation of the third volume of Philip II.
A volume of elaborate indices was edited by I.
About this time he conceived the idea of his Bibliotheque universelle de tous les auteurs ecclesiastiques, the first volume of which appeared in 1686.
Where a title attracted my eye, without fear or awe I snatched the volume from the shelf."
But its circulation was limited, and only the second volume had appeared (1768) when Deyverdun went abroad.
The materials already collected for a third volume were suppressed.
It is interesting, however, to know, that in the first volume is a review by Gibbon of Lord Lyttelton's History of Henry II., and that the second volume contains a contribution by Hume on Walpole's Historic Doubts.
It was not, indeed, until October 1772 that he found himself at last independent, and fairly settled in his house and library, with full leisure and opportunity to set about the composition of the first volume of his history.
Two years before the publication of this first volume Gibbon was elected member of parliament for Liskeard (1774).
The fourth volume, partly written in 1782, was completed in June 1784; the preparation of the fifth volume occupied less than two years; while the sixth and last, begun 18th May 1786, was finished in thirteen months.
Of these the most original and valuable is the Critical Period volume, a history of the consolidation of the states into a government, and of the formation of the constitution.
It was at Strassburg that he published his remarkable volume La Cite antique (1864), in which he showed forcibly the part played by religion in the political and social evolution of Greece and Rome.
This thesis he sustained brilliantly in his Histoire des institutions politiques de l'ancienne France, the first volume of which appeared in 1874.
It was the author's original intention to complete this work in four volumes, but as the first volume was keenly attacked in Germany as well as in France, Fustel was forced in self-defence to recast the book entirely.
It comprises seven large volumes and a geographical appendix; but the seventh volume, the history of the sultan Husain (1438-1505), together with a short account of some later events down to 1523, cannot have been written by Mirkhond himself, who died in 1498.
He may have compiled the preface, but the main portion of this volume is probably the work of his grandson, the historian Khwandamir (1475-1534), to whom also a part of the appendix must be ascribed.
Berthelot, on the other hand, assumed that the heat-capacity of an aqueous solution is equal to that of an equal volume of water, and calculated his results on this assumption, which involves much the same uncertainty as that of Thomsen.
The volume was issued by subscription, and brought in the sum of four hundred guineas.
In 1870 he published a volume of criticism, The Poetry of the Period, which was again conceived in a spirit of satirical invective, and attacked Tennyson, Browning, Matthew Arnold and Swinburne in no half-hearted fashion.
Boisguilbert's works were collected by Daire in the first volume of the Collection des grands economistes.
It publishes an annual Flock Book, the first volume of which appeared in 1890.
When he laid down the last volume, he says, he had become a different being.
Dupuy in 1777, and also appeared in 1786 in the fortysecond volume of the Hist.
Ignatio (Rome, 1650, 1659) Genelli wrote Das Leben des heiligen Ignatius von Loyola (Innsbruck, 1848); Nicolas Orlandinus gives a life in the first volume of the Historiae Societatis Jesu (Rome, 1615).
The best collections of Robin Hood poems are those of Ritson (8vo, 1795) and Gutch (2nd ed., 1847), and of Professor Child in the 5th volume of his invaluable English and Scotch Popular Ballads (Boston, 1888).
Louis as the largest horse and mule market in the world was maintained, the volume of business in 1919 being $50,000,000.
In earlier life he was a notable mountain-climber, ascending Mount Ararat in 1876, and publishing a volume on Transcaucasia and Ararat in 1877; in1899-1901he was president of the Alpine Club.
He discovered that gases always combined in volumes having simple ratios, and that the volume of the product had a simple ratio to the volumes of the reacting gases.
A similar contradiction apparently exists with regard to the specific volume, for while benzene has a specific volume correspinding to Claus' formula, toluene, or methylbenzene, rather points to Kekule's.
In his earlier experiments he burned the substance in a known volume of oxygen, and by measuring the residual gas determined the carbon and hydrogen.
Nitrogen is estimated by (I) Dumas' method, which consists in heating the substance with copper oxide and measuring the volume Nitrogen.
The critical volume provides data which may be tested for additive relations.
Theoretically the critical volume is three times the volume at absolute zero, i.e.
It is found that isomers have nearly the same critical volume, and that equal differences in molecular content occasion equal differences in critical volume.
The critical volume of oxygen can be deduced from the data of the above table, and is found to be 29, whereas the experimental value is 25.
In practice it is generally more convenient to determine the density, the molecular volume being then obtained by dividing the molecular weight of the substance by the density.
Thus a double bond of oxygen, as in the carbonyl group CO, requires a larger volume than a single bond, as in the hydroxyl group - OH, being about 12.2 in the first case and 7.8 in the second.
Similarly, an increase of volume is associated with doubly and trebly linked carbon atoms.
We may therefore conclude that the molecular volume depends more upon the internal structure of the molecule than its empirical content.
The molecular volume is additive in certain cases, in particular of analogous compounds of simple constitution.
Schroeder the silver salts of the fatty acids exhibit additive relations; an increase in the molecule of CH2 causes an increase in the molecular volume of about 15'3.
K= (I +2a)/(I -a), or a=(K-I)/(K+2), where K is the dielectric constant and a the fraction of the total volume actually occupied by matter.
It will be seen that (1) the increase in equivalent volume is about 6.6; (2) all the topic parameters are increased; (3) the greatest increase is effected in the parameters x and tG, which are equally lengthened.
The total volume of trade in 1902, the year of the completion of the railway, was X725,000, in 1905 it had risen to £1,208,000 - imports £480.000, exports 728,000.
A life of Henry was prefixed to this volume.
Thus so late as 1819, when the legislature ordered the compilation of such parts of King Alfonso's Siete Partidas (the most common authority in the colony) as were considered in force, this compilation filled a considerable volume.
In July he published his volume of lyrical poems called Underwoods.
Meanwhile his volume of Ballads was published in London.
Since that date the development of iron mining in Minnesota has been remarkable, and the increase both in volume and value of the output has been practically uninterrupted.
It became clear that only very rough estimates of the numbers of planktonic organisms in a volume of sea-water as large as (say) 10 cubic metres could be made, but that these estimates could nevertheless be trusted to show very marked regional and seasonal differences.
The volume of the hydrogen was about double that of the oxygen, and, since this is the ratio in which these elements are combined in water, it was concluded that the process con sisted essentially in the decomposition of water.
The method employed was to measure the changes in volume caused by the action.
The number of undissociated molecules is then I - a, so that if V be the volume of the solution containing I gramme-molecule of the dissolved substance, we get q= and p= (I - a)/V, hence x(I - a) V =yd/V2, and constant = k.
Thus in the case of cyanacetic acid, while the volume V changed by doubling from 16 to 1024 litres, the values of k were 0.00 (37 6, 373, 374, 361, 362, 361, 368).
The result of the investigation shows that the electrical work Ee is given by the_equation Ee =1 where v is the volume of the solution used and p its osmotic pressure.
He published his first volume of Poems in 1827, and in 1833 appeared his Poems and Prose Writings, republished in 1850 in two volumes, in which were included practically all of his poems and of his prose contributions to periodical literature.
His biography, by his sister, Elisabeth Forster-Nietzsche (Das Leben Friedrich Nietzsches, 1895 ff.), reached its third volume in 1907.
Ammeters to measure the volume, and voltmeters to determine the pressure of current supplied to the baths, should also be provided.
The whole body of Welsh laws was published in one volume by Aneurin Owen under the direction of the commissioners on the public records as Ancient Laws and Institutes of Wales (London, 1841).
The first volume of the Annales de l'observatoire de Meudon was published by him in 1896.
The Vatican library contains a volume of manuscript letters and other documents written by him in connexion with his various missions against Luther.
In the following year he published the first volume of his famous work Essai sur la metaphysique d'Aristote, to which in 1846 he added a supplementary volume.
Cardinal Siffrein, who is known as the Abbe Maury (1746-1817), resumed all the known artifices of sermon-style in a volume which has a permanent historical value, the well-known Essai sur l'eloquence de la chaire (1810); he was himself rather a fiery politician than a persuasive divine.
The first volume (in two parts) is a detailed biography of the great astronomer; the second includes some of his minor writings and correspondence, family records, and historical documents of local interest.
The result was that he delivered in the Masonic Hall, in the winter of 1841-1842, as lectures, substantially the volume afterwards published as the Discourse of Matters pertaining to Religion.
Thus it is found that the action of the heart is accelerated by pleasant, and retarded by unpleasant, stimuli; again, changes of weight and volume are found to accompany modifications of affection - and so on.
The same volume contains a full list of his works.
The intensity of magnetization, or, more shortly, the magnetization of a uniformly magnetized body is defined as the magnetic moment per unit of volume, and is denoted by I, I, or „a.
Hence I = M/v = ml/v = m/a, v being the volume and a the sectional area.
If the magnet is not uni - form, the magnetization at any point is the ratio of the moment of an element of volume at that point to the volume itself, or I = m.ds/dv.
Let 21=the length of the rod (or, more accurately, the distance between its poles), v= its volume, m and - m the strength of its poles, and let d= the distance CM.
After pointing out that, since the magnetization of the metal is the quantity really concerned, W is more appropriately expressed in terms of I, the magnetic moment per unit of volume, than of B, he suggests an experiment to determine whether the mechanical work required to effect the complete magnetic reversal i Phil.
Hence the changes of volume undergone by a given sample of wrought iron under increasing magnetization must depend largely upon the state of the metal as regards hardness; there may be always contraction, or always expansion, or first one and then the other.
Bidwell's results for iron and nickel were confirmed, and it was further shown that the elongation of nickel-steel was very greatly diminished by tension; when 2 Joule believed that the volume was unchanged.
As regards the effect of magnetization upon volume there are some discrepancies.
Knott, who made an exhaustive series of experiments upon various metals in the form of tubes, concluded that in iron there was always a slight increase of volume, and in nickel and cobalt a slight decrease.
If V is the volume of a ball, H the strength of the field at its centre, and re its apparent susceptibility, the force in the direction x is f= K'VH X dH/dx; and if K',, and are the apparent susceptibilities of the same ball in air and in liquid oxygen, K' Q -K'o is equal to the difference between the susceptibilities of the two media.
Its walls are fibrous and complete, and it holds a considerable volume of blood when the heart itself is contracted.
At the end of this volume there is a touching account of his life by the latter.
The first volume of its memoirs,' published in the following year, contained a paper by Lagrange entitled Recherches sur la nature et la propagation du son, in which the power of his analysis and his address in its application were equally conspicuous.
His mathematical enthusiasm was for the time completely quenched, and during two years the printed volume of his Mecanique, which he had seen only in manuscript, lay unopened beside him.
The first volume of the enlarged edition of the Mecanique appeared in 1811, the second, of which the revision was completed by MM Prony and Binet, in 1815.
A portion of his Latin verse is printed in the first volume (pp. 306354) of Delitiae poetarum Scotorum (Amsterdam, 1637).
Compared with the number, length and volume of its rivers, Brazil has very few lakes, only two of which are noticeable for their Lakes.
The 3rd volume of the Protests of the Lords, edited by Thorold Rogers (1875), contains no less than ten protests by Campbell, entered in the years 1842-1845.
He published his first volume of verses, A Voz de Propheta, in 1832, and two years later another entitled A Harpa do Crente.
The second volume of his history appeared in 1847, the third in 1849 and the fourth in 1853.
Finally, Fernand Bournon completed the work by a volume of Rectifications et additions (1890), worthy to appear side by side with the original work.
The first volume was published in 1879, and during the next sixteen years four more volumes appeared, but at his death he had only advanced to the year 1847.
He brought out also in 1856 a short volume of poems called Vaterleindische Gedichte, and another volume in the following year.
The first volume was printed in German in 1836, and subsequently translated into Czech.
The thirteenth 4to volume was issued in 1904.
The ninth volume appeared in 1784, leaving the work still unfinished.
Another useful set of graphs comprises those which give the relation between the expressions of a length, volume, &c., on different systems of measurement.
A useless " correlated variation " may have attained great volume and quality before it is (as, it were) seized upon and perfected by natural selection.
It has been maintained that this tendency to a severance of the hybrid stock into its components must favour the persistence of a new character of large volume suddenly appearing in a stock, and the observations of Mendel have been held to favour in this way the views of those who hold that the variations upon which natural selection has acted in the production of new species are not small variations but large and " discontinuous."
According to this notation, the three equations of motion are dt2 = b2v2E + (a2 - b2) d.s dt =b2v2rj+(a2 - b2) dy d2 CIF - b2p2+(a2_b2)dz It is to be observed that denotes the dilatation of volume of the element situated at (x, y, z).
Since the dimensions of T are supposed to be very small in com d parison with X, the factor dy (--) is sensibly constant; so that, if Z stand for the mean value of Z over the volume T, we may write TZ y d e T ?
He brought out his first play, La Belle au bois dormant, in 1894 and his first volume of poetry, La Chambre blanche, in 1895.
The first satisfactory edition was that which appeared in the twenty-fourth volume of the collection of Michaud and Poujoulat (Paris, 1836).
They carry an immense volume of water during the summer rains, but are very small streams in the winter, when several of their tributaries are completely dry.
Both are to be found in the 2nd volume of Laud's Anecdota syriaca.
Haddan, for the third volume of which he was specially responsible.
Its companion volume of Select Charters and other Illustrations of English Constitutional History, admirable in itself, has a special importance in that its plan has been imitated with good results both in England and the United States.
All this region belongs to the drainage basin of the Orinoco, and rivers of large volume flow down between these spurs.
This History of the Puritans deals with the time between the Reformation and 1689; the first volume appearing in 1732, and the fourth and last in 1738.
Shaken with mercury and sulphuric acid, nitroglycerin yields its nitrogen as nitric oxide; the measurement of the volume of this gas is a convenient mode of estimating nitroglycerin.
His Eastern travels (Voyage en Orient) appeared in 1835, his Chute d'un ange and Jocelyn in 1837, and his Recueillements, the last remarkable volume of his poetry, in 1839.
Its waters, as stated above, mingle with those of the Victoria Nile, their united volume flowing north towards the Mediterranean.
Leaving out of account the innumerable glacier streams that swell its volume above the Lake of Constance, the most important affluents to its upper course are the Wutach, the Alb and the Wiese, descending on the right from the Black Forest, and the Aar, draining several Swiss cantons on the left.
Thus, at every complete stroke of the piston, the air in the vessel or receiver was diminished by that fraction of itself which is expressed by the ratio of the volume of the available cylindrical space above the outward opening valve to the whole volume of receiver, nozzle and cylinder.
He published a volume of Christian Songs (Perth, 1784).
By the mode of admission the hot liquor at its entry is distributed over a large area relatively to its volume, and while this is necessarily effected with but little disturbance to the contents of the vessel, a very slow velocity is ensured for the current of ascending juice.
In the chamber he still sought to obtain liberty for the press - a theme upon which he published a volume of his speeches (Paris, 1817).
In 1662 there appeared also the Brevia parliamentaria rediviva, possibly a portion of the Brief Register of Parliamentary Writs, of which the fourth and concluding volume was published in 1664.
His writings on this subject have been collected in a volume entitled Pagine sulla guerra (Naples, 1919).
It is generally from 30 to 50% of the total volume occupied by the soil.
The works of Arminius (in Latin) were published in a single quarto volume at Leiden in 1629, at Frankfort in 1631 and 1635.
To illustrate the antiquities described in this work he published a large folio volume of Illustrations of the Monuments of Nineveh (1849).
His record of this expedition, Discoveries in the Ruins of Nineveh and Babylon, which was illustrated by another folio volume, called A Second Series of the Monuments of Nineveh, was published in 1853.
Schmeller in 1830; the second volume, containing the glossary and grammar, appeared in 1840.
His excellent summary of medieval French literature forms a volume of the Temple Primers.
The thirty-second volume of the Histoire litteraire de la France, which was partly his work, is of great importance for the study of 13th and 14th century Latin chronicles.
The others, rising in the outer range, which does not reach the snow-line and receives less moisture, carry a volume of water to the sea during the rainy season, but for the rest of the year are nearly dry.
As this lower chain does not reach the snow-line, the streams rising from it are scanty, while the Santa, Pativilca and other coast-rivers which break through it from sources in the snowy chain have a greater volume from the melted snows.
In 1868 appeared his first volume of the Historia del Peru independiente, and two others have since been published.
If we assume 1264 as the year of his death, the immense volume of his works forbids us to think he could have been born much later than 1190.
The Speculum Naturale fills a bulky folio volume of 848 closely printed double-columned pages.
Everything is air at different degrees of density, and under the influence of heat, which expands, and of cold, which contracts its volume, it gives rise to the several phases of existence.
The surplus brine of Berchtesgaden is conducted to Reichenhall, and thence, in increased volume, to Traunstein and Rosenheim, which possess larger supplies of timber for use as fuel in the process of boiling.
The thurible, the proper ecclesiastical term for the vessel in the Western Church, is usually spherical in form, though often square or polygonal, containing a small receptacle for the charcoal and covered by a perforated lid; it is carried and swung by three chains, a fourth being attached to the lid, thus allowing it to be raised at intervals for the volume of smoke to be increased.
The alternate increase and diminution of volume is easily understood in forms with flexible zooecia.
This investigation was first published in 1824 and in abstruse and difficult form, and afterwards (1826) more elaborately in the first volume of Crelle's Journal.
In 1856 he returned to India, where the mutiny soon broke out; his descriptive letters were collected in a volume entitled The Indian Mutiny, its Causes and Results (1858).
In 1842 he published the first volume of his Contributions towards the Exposition of the Book of Genesis, a work which wa.s completed in three volumes several years later.
P. Smith discusses "The Strophic Structure of the Book of Micah" in a volume of Old Test.
In 1828 the lectures were renewed, and in 1830 was published the first volume of the Course of Positive Philosophy.
The sixth and last volume was Work published in 1842.
The publisher had inserted in the sixth volume a protest against a certain footnote, in which Comte had used some hard words about Arago.
The first volume was published in 1851, and the fourth and last in 1854.
The third volume of the Positive Polity treats of social dynamics, and takes us again over the ground of historic evolution.
It abounds with remarks of extraordinary fertility and comprehensiveness; but it is often arbitrary; and its views of the past are strained into in the coherence with the statical views of the preceding volume.
The rivers of the state are short and of no great volume, but they flow swiftly and are useful in supplying power for manu 10,957.
The results of this enthusiasm and this labour of the artist appeared in the volume of Poems, chiefly Lyrical, published in 1830.
Here at least, in the slender volume of 1830, was a new writer revealed, and in "Mariana," "The Poet," "Love and Death," and "Oriana," a singer of wonderful though still unchastened melody.
Yet Coleridge was perfectly just in his remark; and the metrical anarchy of the "Madelines" and "Adelines" of the 1830 volume showed that Tennyson, with all his delicacy of modulation, had not yet mastered the arts of verse.
The poetical work of these three years, mainly spent at Somersby, was given to the world in the volume of Poems which (dated 1833) appeared at the end of 1832.
The advance in craftsmanship and command over the materiel of verse shown since the volume of 1830 is absolutely astounding.
In 1854 he published The Charge of the Light Brigade, and was.busy composing Maud and its accompanying lyrics; and this volume was published in July 1855, just after he was made D.C.L.
In 1724 appeared also the first volume of A Tour through the whole Island of Great Britain, which was completed in the two following years.
Towards the end of this same year The Complete English Tradesman, which may be supposed to sum up the experience of his business life, appeared, and its second volume followed two years afterwards.
In 1870 Nimmo of Edinburgh published in one volume an admirable selection from Defoe.
This account appeared in the Philosophical Transactions for 1778, was afterwards reprinted in the second volume of his Tracts on Mathematical and Philosophical Subjects, and procured for Hutton the degree of LL.D.
In 1864 the Convocation of the province of Canterbury, having taken the opinion of two of the most eminent lawyers of the day (Sir Hugh Cairns and Sir John Rolt), passed judgment upon the volume entitled Essays and Reviews.
The judgment purported to "synodically condemn the said volume as containing teaching contrary to the doctrine received by the United Church of England and Ireland, in common with the whole Catholic Church of Christ."
Shortly after passing the holy city of Benares the Ganges enters Behar, and after receiving an important tributary, the Sone from the south, passes Patna, and obtains another accession to its volume from the Gandak, which rises in Nepal.
Since the appearance of the editio princeps of Chenier's poems in La Touche's volume, many additional poems and fragments have been discovered, and an edition of the complete works of the poet, collated with the MSS.
In the second volume of La Vie litteraire Anatole France contests the theory of Sainte-Beuve.
In 1849 he issued a volume on the industrial resources of the country.
A nickel steel containing 36% of nickel has the property of retaining an almost constant volume when heated or cooled through a considerable range of temperature; it is therefore useful for the construction of pendulums and for measures of length.
It shows how flexible an instrument Latin prose had become in his hand, when it could do justice at once to the ample and vehement volume of his oratory, to the calmer and more rhythmical movement of his philosophical meditation, and to the natural interchange of thought and feeling in the everyday intercourse of life.
Pursuing an easterly course, this stream receives the waters of the romantic `Ain Fije (which doubles its volume), and bursts out by a rocky gateway upon the plain of Damascus, in the irrigation of which it is the chief agent.
The quantity of alcohol present in an aqueous solution is determined by a comparison of its specific gravity with standard tables, or directly by the use of an alcoholometer, which is a hydrometer graduated so as to read per cents by weight (degrees according to Richter) or volume per cents (degrees according to Tralles).
The first term on the right hand side expresses the energy of the surface electrification of the conductors in the field, and the second the energy of volume density (if any).
He opposed the excess profits tax but maintained that a small tax should be laid " on the volume of business of a going concern."
He also showed that the difference of the specific heats at constant pressure and volume, S - s, must be the same for equal volumes of all gases at the same temperature and pressure, being represented by the expression R/TF'(t).
It is not necessary in this example that AB, CD should be adiabatics, because the change of volume BC is finite.
Since h = s (o' - 0"), the difference S - s between the specific heats at constant pressure and volume is evidently H/(o' - o").
The value of the specific heat s at constant volume can also be measured in a few cases, but it is generally necessary to deduce it from that at constant pressure, by means of relation (6).
It is often impossible to observe the pressure-coefficient dp/de directly, but it may be deduced from the isothermal compressibility by means of the geometrically obvious relation, BE = (BEÆC) XEC. The ratio BEÆC of the diminution of pressure to the increase of volume at constant temperature, or - dp/dv, is readily observed.
The change of energy at constant volume is simply sdo, the change at constant temperature is (odp/de - p)dv, which may be written dE/de (v const) =s, dE/dv (0 const) =odp/do - p .
The coefficient of expansion at constant pressure is equal to the coefficient of increase of pressure at constant volume.
It appears to be a quantity of the same order as the volume of the liquid, or as the limiting volume of the gas at very high pressures.
The value of the co-aggregation volume, c, at any temperature, assuming equation (17), may be found by observing the deviations from Boyle's law and by experiments on the Joule-Thomson effect.
I by the whole area B"DZ'VO under the isothermal 9"D and the adiabatic DZ', bounded by the axes of pressure and volume.
The condition of stable equilibrium of a system at constant temperature and volume is that the total J should be a minimum.
This function is also called the " thermodynamic potential at constant volume " from the analogy with the condition of minimum potential energy as the criterion of stable equilibrium in statics.
Since the volume is constant, we have the condition mv'--l-(I-m)v"=constant.
This may be interpreted as the equation of the border curve giving the relation between p and 0, but is more easily obtained by considering the equilibrium at constant pressure instead of constant volume.
A volume entitled Tractatus VII.
The charm of Villehardouin can escape no reader; but few readers will fail to derive some additional pleasure from the two essays which SainteBeuve devoted to him, reprinted in the ninth volume of the Causeries du lundi.
Graham showed that gold is capable of occluding by volume 0.48% of hydrogen, 0.20% of nitrogen, 0.29% of carbon monoxide, and 0.16% of carbon dioxide.
In 1865 the first volume of the great work appeared, under the title of Pioneers of France in the New World; and then seven-and-twenty years more elapsed before the final volumes came out in 1892.
In 1844 his portrait was painted by Richmond, and the same year he published a volume of university sermons, in which, however, was not included the one on the Gunpowder Plot.
Alike in volume and in beauty these take a very high place among European waterfalls; the cataract has a total descent of about 650 ft., in three leaps of 65, 330 and 190 ft.
Selections were included in a volume of Flores compiled at Verona in 1329; and a MS. of bks.
Just above Holyoke the Connecticut leaves the rugged highlands through a rift between Mt Tom (1214 ft.; ascended by a mountain-railway from Holyoke) and Mt Holyoke (954 ft.), and begins a meandering valley course, falling (in the Hadley Falls) in great volume some 60 ft.
A fresh volume of evidence required to be gathered, and a new controversy to be waged, before the old data for the creation of man could be abandoned.
Only the first volume was corrected by the author, the other two being compiled from his manuscript by Juan Tineo.
A volume of supplemental notes to his Middle Ages was published in 1848.
It is impossible, whilst watching the rolling, seething volume of flood-water which swirls westwards in April, to imagine the waste stretches of dry river-bed which in a few months' time (when every available drop of water is carried off for irrigation) will represent the Hari Rud.
In later memoirs Reynolds followed up this subject by proceeding to establish definitions of the velocity and the momentum and the energy at an element of volume of the molecular medium, with the precision necessary in order that the dynamical equations of the medium in bulk, based in the usual manner on these quantities alone, without directly considering thermal stresses, shall be strictly valid - a discussion in which the relation of ordinary molar mechanics to the more complete molecular theory is involved.
Hugh James Rose had published in England (1825) a volume of sermons on the rationalist movement (The State of the Protestant Religion in Germany), in which he classed Bretschneider with the rationalists; and Bretschneider contended that he himself was not a rationalist in the ordinary sense of the term, but a "rational supernaturalist."
His writings consisted of short articles, of which many appeared in the Encyclopaedia Britannica (9th ed.) and in Mind, a volume on Kant and another on Fichte.
He was greatly assisted by Lord Cockburn, then Mr Henry Cockburn, and a volume of correspondence published by Kennedy in 1874 forms a curious and interesting record of the consultations of the two friends on measures which they regarded as requisite for the political regeneration of their native country.
In the numerical expression of absolute densities it is necessary to specify the units of mass and volume employed; while in the case of relative densities, it is only necessary to specify the standard substance, since the result is a mere number.
Thirlwall now joined with Hare in translating Niebuhr's History of Rome; the first volume appeared in 1828.
The first volume was published in 1835, the last in 1847.
In 1886 he published volume i.
The second volume appeared in 1908.
The last volume published was vol.
In addition to these, there is a volume of tables, edited by the abbe Rigollot.
See The Diary and Letters of Gouverneur Morris (2 vols., New York, '888), edited by Anne Cary Morris; Jared Sparks, Life of Gouverneur Morris (3 vols., Boston, 1832), the first volume being a biography and the second and third containing Morris's miscellaneous writings and addresses; and Theodore Roosevelt, Gouverneur Morris (Boston, 1888), in the "American Statesmen" series.
The law has allowed the Federal census office in its discretion to compile and publish the birth statistics of divisions in which they are accurately kept; one Federal report on the statistics of marriages and divorces throughout the country from 1867 to 1886 inclusive was published in 1889, and a second for the succeeding twenty-year period was published in part in 1908; an annual volume gives the statistics of deaths for about half the population of the country, including all the states and cities which have approximately complete records of deaths; Federal agencies like the bureau of labour and the bureau of corporations have been created for the purpose of gathering certain social and industrial statistics, and the bureau of the census has been made a permanent statistical office.
Four of his presidential addresses were republished in 1906, in an illustrated volume entitled The Royal Society.
But an area or a volume cannot generally be measured by successive applications of the unit of area or volume; intermediate processes are necessary, the result of which is expressed by a formula.
The process of determining the area or volume of a given figure therefore involves two separate processes; viz.
Mensuration, then, is mainly concerned with quadratureformulae and cubature formulae, and, to a not very clearly defined extent, with the methods of obtaining such formulae; a quadrature-formula being a formula for calculating the numerical representation of an area, and a cubature-formula being a formula for calculating the numerical representation of a volume, in terms, in each case, of the numerical representations of particular data which determine the area or the volume.
On the other hand, it is worth noticing that the words " quadrature " and " cubature " are originally due to geometrical rather than numerical considerations; the former implying the construction of a square whose area shall be equal to that of a given surface, and the latter the construction of a cube whose volume shall be equal to that of a given solid.
That the area of a parallelogram is equal to the area of a rectangle on the same base and between the same parallels, or that the volume of a cone is one-third that of a cylinder on the same base and of the same height, may be established by a proof which is admitted to be rigorous, or be accepted in good faith without proof, and yet fail to be a matter of conviction, even though there may be a clear conception of the relative lengths of the diagonal and the side of a square or of the relative contents of two vessels of different shapes.
The second step is the conversion of one figure into another by a process of dissection, followed by rearrangement of parts; the figure as rearranged being one whose area or volume can be calculated by methods already established.
The third step is the arithmetical calculation of the area or volume of the rearranged figure.
The length or area obtained by dividing the area or the volume of the figure by its breadth is the mean ordinate (mean height) or mean section (mean sectional area) of the figure.
In the present article the formulae for area or volume will be used throughout.
Volume =height X area of end =length of edge X area of cross-section; the " height " being the perpendicular distance between the two ends.
Volume =height X1.
Volume = 3(a+b+c)S.
If R and S are the ends of a prismoid, A and B their areas, h the perpendicular distance between them, and C the area of a section by a plane parallel to R and S and midway between them, the volume of the prismoid is *h(A+4C+B).
The total surface of the cylinder is 41ra 2 +ira 2 +lra 2= 61ra 2, and its volume is 2a.7ra 2 =27ra 3 .
The moment of a figure with regard to a plane is found by dividing the figure into elements of volume, area or length, multiplying each element by its distance from the plane, and adding the products.
The centroid of a figure is a point fixed with regard to the figure, and such that its moment with regard to any plane (or, in the case of a plane area or line, with regard to any line in the plane) is the same as if the whole volume, area or length were concentrated at this point.
The centroid is sometimes called the centre of volume, centre of area, or centre of arc. The proof of the existence of the centroid of a figure is the same as the proof of the existence of the centre of gravity of a body.
Similarly the first moment of a solid figure may be regarded as obtained by dividing the figure into elementary prisms by two sets of parallel planes, and concentrating the volume of each prism at its centre.
Hence the area of an ellipse whose axes are 2a and 2b is Trab; and the volume of an ellipsoid whose axes are 2a, 2b and 2c is t rabc. The area of a strip of an ellipse between two lines parallel to an axis, or the volume of the portion (frustum) of an ellipsoid between two planes parallel to a principal section, may be found in the same way.
In the same way the volume of a briquette between the planes x = xo, y = yo, x= a, y = b may be denoted by [[Vx,y ]y=yo] u 'x' =xo.
If the area of the cross-section, in every position, is known in terms of its distance from one of the bounding planes, or from a fixed plane A parallel to them, the volume of the solid can be expressed in terms of the area of a trapezette.
The volume comprised between the cross-section whose area is S and a consecutive cross-section at distance 0 from it is ultimately SO, when B is indefinitely small; and the area between the corresponding ordinates of the trapezette is (S/1).
Hence the volume of each element of the solid figure is to be found by multiplying the area of the corresponding element of the trapezette by 1, and therefore the total volume is 1 X area of trapezette.
The volume of a briquette can be found in this way if the area of the section by any principal plane can be expressed in terms of the distance of this plane from a fixed plane of the same set.
It follows from §§ 48 and 51 that, if V is a solid figure extending from a plane K to a parallel plane L, and if the area of every cross-section parallel to these planes is a quadratic function of the distance of the section from a fixed plane parallel to them, Simpson's formula may be applied to find the volume of the solid.
In the case of the sphere, for instance, whose radius is R, the area of the section at distance x from the centre is lr(R 2 -x 2), which is a quadratic function of x; the values of So, Si, and S2 are respectively o, 7rR 2, and o, and the volume is therefore s.
Hence Simpson's formula applies, and the volume is lh(A0-I-4A1+ A2).
The volume of the briquette for which u is a function of x and y is found by the operation of double integration, consisting of two successive operations, one being with regard to x, and the other with regard to y; and these operations may (in the cases with which we are concerned) be performed in either order.
The result of performipg both operations, in order to obtain the volume, is the result of the operation denoted by the product of these two expressions; and in this product the powers of E and of E' may be dealt with according to algebraical laws.
The volume of a frustum of a cone, for instance, can be expressed in terms of certain magnitudes by a certain formula; but not only will there be some error in the measurement of these magnitudes, but there is not any material figure which is an exact cone.
The terms quadratureformula and cubature-formula are sometimes restricted to formulae for expressing the area of a trapezette, or the volume of a briquette, in terms of such data.
The first, which is the best known but is of limited application, consists in replacing each successive portion of the figure by another figure whose ordinate is an algebraical function of x or of x and y, and expressing the area or volume of this latter figure (exactly or approximately) in terms of the given ordinates.
The application of the methods of §§ 75-79 to calculation of the volume of a briquette leads to complicated formulae.
To measure the volume of a cask, it may be assumed that the interior is approximately a portion of a spheroidal figure.
La Cote d'Ivoire by Michellet and Clement describes the administrative and land systems, &c. Another volume also called La Cote d'Ivoire (Paris, 1908) is an official monograph on the colony.
His works were collected and published in one volume folio, in Amsterdam in 1645.
A detailed bibliography of his works has been placed by Auguste Longnon at the beginning of the volume Les Croyances et legendes du moyen age.
A famous problem concerning the cube, namely, to construct a cube of twice the volume of a given cube, was attacked with great vigour by the Pythagoreans, Sophists and Platonists.
The Delians, suffering a dire pestilence, consulted their oracles, and were ordered to double the volume of the altar to their tutelary god, Apollo.
He next published (1833) a volume of Poems, chiefly Religious, and in 1834 a.
A volume of Melanges et correspondance was published posthumously by Charles Comte, author of the Traite de legislation, who was his son-in-law.
The Catechisme and the Petit Volume have also been translated into several European languages.
The letters which he wrote during this voyage were gathered in 1869 into a volume, The Innocents Abroad, and the book immediately won a wide and enduring popularity.
To be recorded also is a volume of essays and literary criticisms, How to Tell a Story (1897).
The volume dx, then, has increased to dx+dy or volume I has increased to I +dy/dx and the increase of volume I is dy/dx.
Let E be the bulk modulus of elasticity, defined as increase of pressure = decrease of volume per unit volume where the pressure increase is so small that this ratio is constant, w the small increase of pressure, and - (dy/dx) the volume decrease, then E=e/(- dy/dx) or w Æ= - dy/dx (I) This gives the relation between pressure excess and displacement.
In addition there will be the internal force due to the change in volume, and consequent change in pressure, from point to point.
It may be noted that the elasticity E is only constant for small volume changes or for small values of dy/dx.
If w is the total pressure excess, and if y is the total displacement at x, then w = E Xchange of volume _original volume = - Edy/dx.
At the nodes A, B, C, D, E there is no displacement, but there are maximum volume and pressure changes.
The tangent to the displacement curve is always parallel to the axis, that is, for a small distance the successive particles are always equally displaced, and therefore always occupy the same volume.
The volume of trade in 1898, as represented by imports and exports, was £3,114,000 (imports £1,190,000; exports £1,923,000).
The second volume began with a circulation of about 455 0 copies, and with a loss on the first year's publication of $3000.
He had written a popular history of the late war, the first volume having an immense sale and bringing him unusually large profits.
The volume of his African and European addresses, published in the autumn of 1910, not only presents an epitome of his political philosophy, but discloses the wide range of his interest in life and the methods by which he had striven to bring public opinion to his point of view.
The volume of his letters and his writings in books, articles for the press and speeches and official messages, is enormous, and yet this work was done in the midst of the executive labours of a long political career.
To Zenodorus (c. 200100 B.C.) is due the important problem in maxima and minima that for a given surface the sphere is the solid of maximum volume.
Calling the radius r, and denoting by the ratio of the circumference to the diameter of a circle, the volume is 31rr 3, and the surface 41rr2.
A solution by means of the parabola and hyperbola was given by Dionysodorus of Amisus (c. 1st century B.c), and a similar problem - to construct a segment equal in volume to a given segment, and in surface to another segment - was solved by the Arabian mathematician and astronomer, Al Kuhi.
Of the Academy's edition one volume was published at Berlin in 1897, containing the Commentaries on Daniel and on the Song of Songs, the treatise on Antichrist, and the Lesser Exegetical and Homiletic Works, edited by Nathanael Bonwetsch and Hans Achelis.
The plains, except in the south-east corner, are underlaid by sheets of water-bearing sandstone, which carry a volume of water under such pressure that in the valleys of the James river and the Missouri river and its western tributaries a strong surface flow may be obtained from artesian wells.
He published Entwicklungsgeschichte der Chemie von Lavoisier bis zur Gegenwart (1868) and other works on chemistry, collaborated in a Handworterbuch der Chemie (13 vols., 1882-96), and wrote a volume of reminiscences, Lebenserinnerungen (1912).
In 1861 he published his great atlas of the republic of Peru, and in 1868 the first volume of his history of Peru after the acquisition of her independence.
A second volume followed, and a third, bringing the history down to 1839, was published after his death by his son.
In the course of his labours as editor of this volume he was struck by the unity which was presented by Christian hymnody, "binding together by the force of a common attraction, more powerful than all causes of difference, times ancient and modern, nations of various race and language, Churchmen and Nonconformists, Churches reformed and unreformed" (Preface).
In the same field of literature Lord Selborne further laboured by the publication of another collection called The Book of Praise Hymnal; a contribution to an edition of Bishop Ken's hymns; a paper on English Church Hymnody at a Church Congress; and the article in the Encyclopaedia Britannica on "Hymns" (q.v.), which was republished as a separate volume in 1892.
The quantity of electricity which is passed is estimated by the diminution in the volume of the liquid.
The current is determined by measuring the volume of the mercury delivered at the cathode.
Flesh-eating entailing necessarily an immense volume of pain upon the sentient animal creation should be abstained from by the "higher classes" in the evolutionary scale.
When Le Clerc discontinued his Bibliotheque universelle in 1691, Bernard wrote the greater part of the twentieth volume and the five following volumes.
Signs of this change first appeared publicly in his Shadows of the Clouds, a volume containing two stories of a religious sort, which he published in 1847 under the pseudonym of "Zeta," and his complete.
His first book, save for his share in a volume of English verse, was a History of Architecture (1849).
The amount of ammonia in ammonium salts can be estimated quantitatively by distillation of the salts with sodium or potassium hydroxide, the ammonia evolved being absorbed in a known volume of standard sulphuric acid and the excess of acid then determined volumetrically; or the ammonia may be absorbed in hydrochloric acid and the ammonium chloride so formed precipitated as ammonium chlorplatinate, (NH4)2PtC16.
He published memoirs of the adventures of a brigand, Rodrigue de Villandrando (1844), which gradually grew into a volume (1877), full of fresh matter.
A volume of Anecdota Brentiana was edited by Pressel in 1868.
His papers, which were republished in a single volume with the title Die Mechanik der Wdrme (3rd ed., 1893), are of unequal merit.
He at once introduced himself to the distingu13hed French historian and diplomatist Robert Gaguin (1425-1502) and published a small volume of poems; and he became intimate with Johann Mauburnus (Mombaer), the leader of a mission summoned from Windesheim in 1496 to reform the abbey of Chateau-Landon.
The volume of 1500 had been jejune, written when he knew nothing of Greek; Boo adages put together with scanty elucidations.
Disraeli has not noticed Erasmus in his Quarrels of Authors, perhaps because Erasmus's quarrels would require a volume to themselves.
An important feature of the volume was the new Latin version, the original being placed alongside as a guarantee of the translator's good faith.
But in the transition from molecular theory to the electrodynamics of extended media, all magnetism has to be replaced by a distribution of current; the latter being now specified by volume as well as by flow so that (u,v,w) ST is the current in the element of volume 6T.
In the present case the total dielectric contribution to this current works out to be the change per unit time in the electric separation in the molecules of the element of volume, as it moves uniformly with the matter, all other effects being compensated molecularly without affecting the propagation.
The foreign trade of Czechoslovakia was in 1921 growing steadily in volume.
The contents of these memoirs are included in the first volume of his Exercices de calcul integral (1811).
The third volume (1816) contains the very elaborate and now well-known tables of the elliptic integrals which were calculated by Legendre himself, with an account of the mode of their construction.
In 1827 appeared the Traite des fonctions elliptiques (2 vols., the first dated 1825, the second 1826); a great part of the first volume agrees very closely with the contents of the Exercices; the tables, &c., are given in the second volume.
Jacobi, were published in 1828-1832, and form a third volume.
The remainder of the first volume relates to the Eulerian integrals and to quadratures.
The second volume (1817) relates to the Eulerian integrals, and to various integrals and series, developments, mechanical problems, &c., connected with the integral calculus; this volume contains also a numerical table of the values of the gamma function.
The latter portion of the second volume of the Traite des fonctions elliptiques (1826) is also devoted to the Eulerian integrals, the table being reproduced.
The results given in the second volume of the Exercices are of too miscellaneous a character to admit of being briefly described.
Three of these addresses were published, wholly or in part, in the later editions of Village Communities; the substance of others is understood to be embodied in the Cambridge Rede lecture of 1875, which is to be found in the same volume.
His all too short performance in this office is represented by a posthumous volume which had not received his own final revision, International Law (1888).
Meanwhile Maine had published in 1885 his one work of speculative politics, a volume of essays on Popular Government, designed to show that democracy is not in itself more stable than any other form of government, and that there is no necessary connexion between democracy and progress.
It was as necessary in the Hebrew religion for the priest to wash his hands after handling the sacred volume as before.
Martin Kromer (1512-1589) wrote a history of Poland in thirty books, and another volume, giving a description of the country and its institutions - both in Latin.
A History of the Lithuanians in Latin was published by the Jesuit Koialowicz; the first volume appeared at Danzig in 1650.
Williams of Pant y Celyn had just published a little volume of hymns, the singing of which inflamed the people.
Vuillier (Paris, 1904), the first edition of which has been translated under the title of The Forgotten Isles(London, 1896) - and Islas Baleares, an illustrated volume of 1423 pages, by P. Pifferrer, in the series "Espana" (Barcelona, 1888).
In the same publication for 1844 and 1850 he communicated short descriptions and drawings of some of the more interesting nebulae, and in the volume for 1861 he published a paper "On the Construction of Specula of 6-ft.
In 1888 she received the Prix Botta, a prize awarded triennially by the French Academy, for her volume of prose aphorisms Les Pensees d'une reine (Paris, 1882), a German version of which is entitled Vom Amboss (Bonn, 1890).
The lactic acid bacillus, always present in unboiled milk (to which the souring of milk is due), is easily destroyed by heat; but the bacillus mesentericus, often found in it, forms spores, which are not destroyed by ordinary boiling, and germinate when the milk is kept at a moderately warm temperature, producing a brisk fermentation whereby a large volume of gas is liberated.
At Tung Kwan the river is joined by its only considerable affluent in China proper, the Wei (Wei-ho), which drains the large province of Shensi, and the combined volume of water continues its way at first east and then northeast across the great plain to the sea.
Interior Ballistics The investigation of the relations connecting the pressure, volume and temperature of the powder-gas inside the bore of the gun, of the work realized by the expansion of the powder, of the V FIG.
Thus if a charge of P lb of powder is placed in a chamber of volume C cub.
Assuming, however, that the agreement is close enough for practical requirement, the conbustion of the cordite may be considered complete at this stage P, and in the subsequent expansion it is assumed that the gas obeys an adiabatic law in which the pressure varies inversely as some mtn power of the volume.
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.
The first two volumes of Dr C. Schilling's exhaustive work, Wilhelm Olbers, sein Leben and seine Werke, appeared at Berlin in 1894 and 1900, a third and later volume including his personal correspondence and biography.
It may also be prepared by heating formic and oxalic acids (or their salts) with concentrated sulphuric acid (in the case of oxalic acid, an equal volume of carbon dioxide is produced); and by heating potassium ferrocyanide with a large excess of concentrated sulphuric acid, K 4 Fe(CN) 6 -i-6H2S04+6H20=2K2S04+FeS04+3(NH4)2S04+6C0.
The volume composition of carbon monoxide is established by exploding a mixture of the gas with oxygen, two volumes of the gas combining with one volume of oxygen to form two volumes of carbon dioxide.
The volume composition of carbon dioxide is determined by burning carbon in oxygen, when it is found that the volume of carbon dioxide formed is the same as that of the oxygen required for its production, hence carbon dioxide contains its own volume of oxygen.
The mathematical works are published, some of them in a small 4to volume (Oxford, 1657) and a complete collection in three thick folio volumes (Oxford, 1693-1699).
The third volume includes, however, some theological treatises, and the first part of it is occupied with editions of treatises on harmonics and other works of Greek geometers, some of them first editions from the MSS., and in general with Latin versions and notes (Ptolemy, Porphyrius, Briennius, Archimedes, Eutocius, Aristarchus and Pappus).
Among the letters in volume iii., we have one to the editor of the Ada Leipsica, giving the decipherment of two letters in secret characters.
The most important river, both from its length and volume, is the Shelif.
Lagarde's projected edition of the Lucianic recension was unfortunately never completed; the existing volume contains Genesis - 2 Esdras, Esther.
There are, first, the Books; then, the Collection; then, the Sacred Volume, complete as such in idea, though not as yet complete in its actual contents; and, lastly, the Sacred Volume in its full dimensions, as it has come down to us.
The result was attained when there was a definite volume called the New Testament by the side of the earlier volume called the Old Testament, complete like it, and like it endowed with the attributes of a Sacred Book.
Hence the first Christian writings were no deliberate product of theologians who supposed themselves to be laying the foundation of a sacred volume.
He had planned his work on a large scale; and in Acts we have its second volume.
In other words, the somewhat vague sense of spiritual power and impressiveness hardened into the conception of sacred books united in a sacred volume.
The area and volume of the Pacific Ocean and its seas, with the mean depths calculated therefrom, are given in the article Ocean.
Its area is greater than the whole land surface of the globe, and the volume of its waters is six times that of all the land above sealevel.
This steel represents about one-half of the original thermit by weight and one-third by volume.
Nordlands Trompet (The Trumpet of Nordland), his greatest and most famous poem, was not published till 1739; Den norska Dale-Vise (The Norwegian Song of the Valley) appeared in 1696; the Aandelig Tidsfordriv (Spiritual Pastime), a volume of sacred poetry, was published in 1711.
It is in a quarto volume containing 700 pages, covering the years between 1641 and 1697, and is continued in a smaller book which brings the narrative down to within three weeks of its author's death.
Pablo de Gorosabel (Tolosa, 1899-1901), the last volume of which by C. de Echegaray, gives the legislative acts down to May 1900.
The Reventazon, or Parismina, flows from the central plateau to the Caribbean Sea; despite the shortness of its valley, its volume is considerable, owing to the prevalence of moist trade-winds near its sources.
The first volume, however, is complete in itself, and traces the original settlement of the different American colonies, and the progressive changes in their constitutions and forms of government as affected by the state of public affairs in the parent kingdom.
The first volume appeared in 1807, and is introductory to the others.
The second volume, published in 1810, gives an account of the seven southeastern counties of Scotland - Roxburgh, Berwick, Haddington, Edinburgh, Linlithgow, Peebles and Selkirk - each of them being treated of as regards name, situation and extent, natural objects, antiquities, establishment as shires, civil history, agriculture, manufactures and trade, and ecclesiastical history.
In 1824, after an interval of fourteen years, the third volume appeared, giving, under the same headings, a description of the seven south-western counties - Dumfries, Kirkcudbright, Wigtown, Ayr, Lanark, Renfrew and Dumbarton.
In the preface to this volume the author states that the materials for the history of the central and northern counties were collected, and that he.
Biog.; it is still only a sketch, though the volume contains a mass of genealogical and other incidental information by other hands.
His sermons attracted wide attention in that community, and he gained a considerable reputation as a theologian and a controversialist by his publication in 1814 of a volume entitled Defence of Christianity, written in answer to a work, The Grounds of Christianity Examined (1813), by George Bethune English (1787-1828), an adventurer, who, born in Cambridge, Massachusetts, was in turn a student of law and of theology, an editor of a newspaper, and a soldier of fortune in Egypt.
By the end of 1905 the society announced that over 400,000 copies of this volume had been sold at 2d.
In such definition an attempt has been made to avoid former confusion of expression as to capacity, cubic measure, and volume; the litre being recognized as a measure of capacity holding a given weight of water.
Vases may also be found bearing such relations to one another as to show their unit of volume.
The idea of connecting volume and weight has received an immense impetus through the metric system, but it is not very prominent in ancient times.
The Egyptians report the weight of a measure of various articles, amongst others water (6), but lay no special stress on it; and the fact that there is no measure of water equal to a direct decimal multiple of the weight-unit, except very high in the scale, does not seem as if the volume was directly based upon weight.
Yet it appears to be only an approximate relation, and therefore probably accidental, as the volume by the examples is too large to agree to the cube of the length or to the weight, differing 1/20, or sometimes even as 1/12.
The Hebrew "shekel of the sanctuary" is familiar; the standard volume of the apet was secured in the dromus of Anubis at Memphis (35); in Athens, besides the standard weight, twelve copies for public comparison were kept in the city; also standard volume measures in several places (2); at Pompeii the block with standard volumes cut in it was found in the portico of the forum (33); other such standards are known in Greek cities (Gythium, Panidum and Trajanopolis) (11, 33); at Rome the standards were kept in the Capitol, and weights also in the temple of Hercules (2); the standard cubit of the Nilometer was before Constantine in the Serapaeum, but was removed by him to the church (2).
There is great uncertainty as to the exact values of all ancient standards of volume -- the only precise data being those resulting from the theories of volumes derived from the cubes of feet and cubits.
In 1826 he published a third volume of the Christian and Civic Economy of Large Towns, a continuation of work begun at St John's, Glasgow.
As Sir William Stuart was sent to Denmark to arrange the preliminaries of King James's marriage, and returned to Edinburgh on the 15th of November 1588, it would seem probable that this was the volume referred to by Craig.
In 1794 Vega published his Thesaurus logarithmorum completus, a folio volume containing a reprint of the logarithms of numbers from Vlacq's Arithmetica logarithmica of 1628, and Trigonometria artificialis of 1633.
The only other logarithmic canon to every second that has been published forms the second volume of Shortrede's Logarithmic Tables (1849).
We shall pass over here the labours of Adam Sedgwick (1785-1873) and Sir Roderick Murchison (1792-1871) in the Palaeozoic of England, which because of their close relation to stratigraphy more properly concern geology; but must mention the grand contributions of Joachim Barrande (1799-1883), published in his Systeme silurien du centre de la Boheme, the first volume of which appeared in 1852.
The volume is provided with woodcuts and initials, the title-page and preliminary matter in the only two remaining copies (British Museum and Holkam Hall) being in the same type as the body of the book.
Thomas Matthew, is, however, in all probability, an alias for John Rogers, a friend and fellow-worker of Tyndale, and the volume is in reality no new translation at all, but a compilation from the renderings of Tyndale and Coverdale.
The volume was printed in black letter in double columns, and three copies are preserved in the British Museum.
It is a splendid folio Bible of the largest volume, and was distinguished from its predecessors by the name of The Great Bible.
The work was pushed forward with energy, and on the 5th of October 1568 the volume was ready for publication.
In each of the years immediately following his arrival in Paris he collected and published a volume of his articles, the first on the salon of 1822, the second on a tour in the Pyrenees.
He now had little to do with politics for some years, and spent his 'time on his Histoire du Consulat et de l'Empire, the first volume of which appeared in 1845.
Uzanne prefixed to a volume of his Faceties (1879).
The best known of these depressions, Ngami, lies to the north-west and is the central point of an inland water system apparently in process of drying up. To the north-east and connected with Ngami by the Botletle river, is the great Makari-Kari salt pan, which also drains a vast extent of territory, receiving in the rainy season a large volume of water.
The volume is interspersed, far more extensively and richly than any other treatise on the war, with reproductions of contemporary plans, maps, documents, portraits and prints.
He here rewrote and republished (1827-1828) the first two volumes of his Roman History, and composed a third volume, bringing the narrative down to the end of the First Punic War, which, with the help of a fragment written in 1811, was edited after his death (1832) by Johannes Classen (1805-1891).
Library Square takes its name from the library, which is one of the four scheduled in the Copyright Act as entitled to receive a copy of every volume published in the United Kingdom.
The chief source of his biography is his own poetry, especially the Latin elegy addressed to Jean de Morel, "Elegia ad Janum Morellum Ebredunensem, Pyladem suum," printed with a volume of Xenia (Paris, 1569).
The specific heat of iodine vapour at constant pressure is o-03489, and at constant volume o 02697.
Tacoma is a sub-port of entry in the Puget Sound Customs district (of which Port Townsend is the official port), which is second only to San Francisco on the Pacific coast in the volume of foreign trade.
It dissolves in water in all proportions with at first a contraction and afterwards an increase in volume.
The remaining fragments were, under the directions of the Royal Society, reduced by Dr Wallis to a compact form, with the heading Astronomia Kepleriana defensa et promota, and published with numerous extracts from the letters of Horrocks to Crabtree, and a sketch of the author's life, in a volume entitled Jeremiae Horroccii opera posthuma (London, 1672).
Andrews's conception of the critical temperature of gases by defining the absolute boiling-point of a substance as the temperature at which cohesion and heat of vaporization become equal to zero and the liquid changes to vapour, irrespective of the pressure and volume.
If V = N/A then N expresses the ratio of the volume of the instrument up to the zero of the scale to that of one of the scale-divisions.
If we suppose the lower part of the instrument replaced by a uniform bar of the same sectional area as the stem and of volume V, the indications of the instrument will be in no respect altered, and the bottom of the bar will be at a distance of N scale-divisions below the zero of the scale.
The greatest density of the liquid for which the instrument described above can be employed is W/V, while the least density is W/(Vd-nlA), or W/(V-Fv), where v represents the volume of the stem between the extreme divisions of the scale.
These two operations are not quite equivalent, since a weight added to the interior does not affect the volume of liquid displaced when the instrument is immersed up to a given division of the scale, while the addition of weights to the exterior increases the displacement.
This difficulty may be met, as in Keene's hydrometer, by having all the weights of precisely the same volume but of different masses, and never using the instrument except with one of these weights attached.
The effect of weights placed in such a dish or pan is of course the same as if they were placed within the bulb of the instrument, since they do not alter the volume of that part which is immersed.
The volume of the displaced liquid being then always the same, its density will be proportional to the whole weight supported, that is, to the weight of the instrument together with the weights required to be placed in the scale pan.
This weight will exceed w in consequence of the water displaced by the solid, and the weight of the water thus displaced will be wi-w, which is therefore the weight of a volume of water equal to that of the solid.
Adie's sliding hydrometer is of the ordinary form, but can be adjusted for liquids of widely differing specific gravities by drawing out a sliding tube, thus changing the volume of the hydrometer while its weight remains constant.
At the side of each of the four scales on the stem of the hydrometer is en r ' graved a set of small numbers indicating the contraction in volume which would be experienced if the requisite amount of water (or spirit) were added to bring the sample tested to the proof strength The hydrometer constructed by Dicas of Liverpool is provided with a sliding scale which FIG.
The line on the scale marked "concentration" indicates the diminution in volume consequent upon reducing the sample to proof strength (if it is over proof, O.P.) or upon reducing proof spirit to the strength of the sample (if it is under proof, U.P.).