A and B, mycelium (m), the mix t ure over the affe c ted with haustoria (h).
A change of the Hebrew text seems necessary; possibly we should read S1p $t"', "low is the voice," instead of 51p$ o'p', "he rises up at the voice."
A contemporary t ccount of this event has been preserved in two letters of the tl ounger Pliny to the historian Tacitus.
A great future was expected from its use in the liquid state, since a cylinder fitted with the necessary reducing valves would supply the gas to light a house for a considerable period, the liquid occupying about T h.
A hard-and-fast rule of pronunciation is that only vowel or diphthong sounds, or the letters" m," n," ng," k," t "and" p "are permissible at the end of words, and hence the final letter of all words ending in anything else is simply suppressed or is pronounced as though it were a letter naturally producing one or other of those sounds.
A homogeneous oscillation is one which for all time is described by a circular function such as sin(nt+ a), t being the time and n and a constants.
A horizontal incision is made in the bark quite down to the wood, and from this a perpendicular slit is drawn upwards to the extent of perhaps an inch, so that the slit has a resemblance to the letter T, as at a.
A pellet of potassium when thrown on water at once bursts out into a violet flame and the burning metal fizzes about on the surface, its extremely high temperature precluding absolute contact with the liquid, exce p t at the very end, when the last remnant, through loss of temperature, is wetted by the water and bursts with explosive violence.
A pit called the "Maelstrom," in Croghan's Hall, is the spot most remote from the mouth of Gerta's Grotto Creighton's Dome Index Hovey's Cathedral 0' Martel Nelson's Domes p a e t a j-?l . ?Einbigler Dome Edna's Dome Galloway's Dome Chief City Violet.
A second commission, which was appointed in 1901 and issued its final report in 1905, taking 4000 f t.
A series of heavy combats revealed his Pontefract in 1536, during the Pilgrimage of Grace, the archbishop, and Grant pursued the dwindling remnants of Lee's was compelled to join the rebels, but he did not sympathize with purpose army t o the westward.
A statement of receipts and expenditures of an election campaign, showing the amount received from each contributor and the name of t every person or committee to whom more than $5 was paid, must be filed by the treasurer of every political committee within twenty days after the election; each candidate also must file a statement of his contributions.
A striking fact in the configuration of the crust is cs 1'000 n that each continent, or elevated mass of the crust, is T diametrically opposite to an ocean basin or great de 5000 0 -5000 -15000 -20 2500 -300 pression; the only partial exception being in the case of southern South America, which is antipodal to eastern Asia.
Accents on vowels lengthen them; on d and t they are softening marks.
According to (52) 1.31 = At T 12T Y T 23, (53) a relation not verified by experiment.
According to the best determinations the value of elm does not exceed 1.8X Io', and T is of the order of Io 15 second, the period of luminous vibrations; hence OM/M must always be less than 109 H, and therefore the strongest fields yet reached experimentally, which fall considerably short of Io %, could not change the magnetic moment M by as much as a ten-thousandth part.
According to the investigations of Svante Arrhenius the osmotic pressure in atmospheres may be obtained by simply multiplying the temp rature of freezing (r) by the factor -12.08, and it varies with temperature (t) according to the law which holds good for gaseous pressure.
Again, if a i, a 2, a 3 ...a m, be the t " roots of -1, b 1 = b 2 =...
Again, when the fluid is changed, the time varies as p 2 T -.
All round its edge there is a tension T acting at an angle a with the vertical.
All students of the ceramic art know that the monochrome porceMonochro- lains of China owe their beauty to the fact that the;afic t color is in the glaze, not under it.
Although on the emperors side this struggle was conducted mainly with German troops t falls properly under the history of Italy.
Among a multitude of other Japanese wares, space allows us t mention only two, those of Izumo and Yatsushiro.
Among the changes of the sound system in New Persian, as contrasted with earlier periods, especially with Old Persian, the first that claims mention is the change of the tenues k, t, p, c, into g, d, b, 1.
Amongst the most widely distributed of the I E?t Xoirpocs - on the threshold.
Amongst those which are useful are the bee, the silk-worm, and the insect that produces lac. Clouds of locusts occasionally appear, which leave no trace of green behind them, and give the country over which they pass t he appearance of a desert.
An admirable analysis of the works composing the Palingenesie is given by Barchou, Revue des deux mondes (1831), t.
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.
Ancient historians (like many of modern t i mes) used the liberty of working up in their own language the speeches recorded by them.
And as in Hebrew, the six letters b g d k p t are aspirated when immediately preceded by any vowel sound.
And that sacrifice but once actually t performed at His death, but ever before represented in figure, from the beginning; and ever since repeated in memory to the world's end.
Anna's sympathies were in time diverted to the school of Jacob Cats, but Marie Tesselschade maintained close ties with Hoof t, who revised her translation of Tasso.
Another beautiful illustration is easily obtained by cutting with a sharp knife a very small T aperture in a piece of note paper.
Another charter, dated 1664, appointed two capital burgesses t o be justices of the peace with the warden.
Another compound, properly of mixed sex, appears in the Aramaean Atargatis (`At[t]ar-`athe), worn down to Derketo, who is specifically associated with sacred pools and fish (Ascalon, Hierapolis-Mabog).
Any other convenient figure may be assumed for the path of contact, and the corresponding forms of the teeth found by determining what curves a point T, moving along the assumed path of contact, will trace on two disks rotating round the centres of the wheels with angular velocities bearing that relation to the component velocity of T along TI, which is given by Principle II.
Applying the above equation to a gas obeying the law pv=RT, for which the work done in isothermal expansion from a volume i to a volume r is W=RT loger, whence dW=R log e rdt, he deduced the expression for the heat absorbed by a gas in isothermal expansion H=R log er/F'(t).
Arehives de 1'Intendance Sacree t Delos [[Philip S C]] fi?
As 6t is indefinitely diminished, the vector OU will tend to a definite limit OV; this is adopted as the definitiov of the velocity of the moving point at the instant t.
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.
As H regards the effec t s FIG.
As Laplace has shown, the values for K and T may also be expressed in terms of the function cs, with which we started.
At the end of words and before k and t it = Germ.
At the end of words the English t is really aspirated, a breath being audible after the t in words like bit, hit, pit.
At the international conference, which met at Paris in 1896 for the purpose of elaborating a common system of constants and fundamental stars to be employed in the various national ephemerides, Newcomb took a leading part, and at its suggestion undertook the task of determining a definite value of the constant of precession, and of 1 Lionville, t.
At the mouth of the White, the Arkansas and the Mississippi the level of recurrent floods is 6 or 8 f t.
At the vertex A, where y =H, we have t = t' =1-T, so that (33) H = sgT2, which for practical purposes, taking g= 32, is replaced by (34) H = 4T 2, or (2T)2.
At Thebes, New York has also carried out work at Qurnet Murra`i and Sheikh `Abd el Qurna, as well as at Dra t Abul Neqqa and Deir el Bahri, 55 where the Earl of Carnarvon, assisted by Mr. Howard Carter, has also dug with remarkable success, recovering some of the most beautiful relics of the art of the XII.
Bay ll c t ' LY Q " yy be Pony.
Before any such rate is imposed, however, m ea t Act.
Below are (t) the transliteration of the symbols; (2) the Greek words, both like the Cyprian reading from right to left.
Berkeley had already, in the Querist, attacked the mercan t i le theory of the nature of national wealth and the functions of money, and Locke had, in a partial manner, shown that political economy could with advantage be viewed in relation to the modern system of critical philosophy.
Between H and S, Ar 3 and Ar 2 occur together, as do Ar 2 and Ar l between S and P' and Ar 3, Ar 2 and Ar t at S itself; so that these critical points in these special cases are called Ar 3 _ 2, Ar2_1 and Ar 3 _ 2 _ 1 respectively.
Both these forces usually act at the same radius R, the distance from the axis to the centre line of the rope, in which case the torque T is (W-p)R, and consequently the brake horse-power is (W - p)RX21rN, When µ 33,000 changes the weight W rises or falls against the action of the spring balance until a stable condition of running is obtained.
Bu,t this was only a lull in the civil strife, which was renewed after the king had made a successful expedition into Bohemia.
But even if, by omitting these accidental items, the list be reduced to thirty, a sufficient number will be lef t to indicate the cosmopolitan character of the city.
But the sameness is relieved along the western coast of the shires of Sutherland and Ross and Cromarty by groups of cones and stacks, and farther south by the terraced plateaus and abru p t conical hills of Skye, Rum and Mull.
But the tension at P is T, parallel to the tangent, and T sin 4 parallel to PM, and through this - T sin is the momentum passing out at P per second.
But this criterion was open to the persistent attacks of Epicureans and Academics, who made clear (t) that reason is dependent upon, if not derived from, sense, and (2) that the utterances of reason lack consistency.
But though a formula of this type has no physical significance, and cannot be accepted as an equation to the actual curve of W and B, it is, nevertheless, the case that by making the index e =1.6, and assigning a suitable value to r t, a formula may be obtained giving an approximation to the truth which is sufficiently close for the ordinary purposes of electrical engineers, especially when the limiting value of B is neither very great nor very small.
By a suitable choice of the generalized co-ordinates it is possible to reduce T and V simultaneously to sums of squares.
By the condensation of ortho-aminophenols with phosgene or thiophosgene, oxy and thio-derivatives are obtained, the (OH) and (SH) groups being situated in the t t position, and these compounds on treatment with amines yield amino derivatives.
By this motion things are gradually constructed not entirely of homogeneous particles (the homoeomere, oµoLo t ccpi 7) but in each thing with a majority of a certain kind of particle.
By this treaty Treaty of Sweden gave back the province of Trondhjem and the T Copen= isle of Bornholm and released Denmark from the most hagen, onerous of the obligations of the treaty of Roskilde.
C. t has for its subject pavements and roads, their construction, mosaic floors; c. 2 is on white stucco for walls (opus albarium); c. 3 on concrete vaults, gypsum mouldings, stucco prepared for painting; c. 4 on building of hollow walls to keep out the damp, wall decoration by various processes; c. 5 on methods and styles of wall painting, the debased taste of his time; c. 6 on fine stucco made of pounded marble - three coats to receive wall paintings; c. 7 on colours used for mural decoration; c. 8 on red lead (minium) and mercury, and how to use the latter to extract the gold from wornout pieces of stuff or embroidery; c. 9 on the preparation of red lead and the method of encaustic painting with hot wax, finished by friction; cc. to-14 on artificial colours - black, blue, purple;, c. to white lead and ostrum, i.e.
C. t is on selection of sites; c. 2 on the planning of buildings to suit different sites; c. 3 on private houses, their construction and styles, the names of the different apartments; c. 4 on the aspects suited for the various rooms; c. 5 on buildings fitted for special positions; c. 6 on farms and country houses; c. 7 on Greek houses and the names of various parts; c. 8 on construction of houses in wood, stone, brick or concrete.
C. t is on symmetry and proportion; c. 2 on various forms of Greek temples, e.g.
Certain convariants of the quintic involve the same determinant factors as appeared in the system of the quartic; these are f, H, i, T and j, and are of special importance.
Certain of the carri al gods early became identified with cosmic divinities, and inst latter thus became the objects of a cult; so, for instance, in t Horus of Edfu was a sun-god, and Thoth in Hermopolis as gna was held to be the moon.
Clausius (1850), applying the same assumption, deduced the same value of F'(t), and showed that it was consistent with the mechanical theory and Joule's experiments, but required that a vapour like steam should deviate more considerably from the gaseous laws than was at that time generally admitted.
Community of creed, ancient traditional influence, the entire absence of Russian merchants, and t the consequent avoidance of many small commercial rivalries, contributed to bring about a sort of passive preference for Russia, while the bitter disputes that had occurred with Germany on the question of railway finance had left a very hostile feeling.
Consequently it is the first t crop to disappear as one ascends into the mountain regions, and comparatively little is grown west of the great plains of North America.
Conversely, if the kinetic energy T is expressed as a quadratic function of x, x x3, y1, y2, y3, the components of momentum, the partial differential coefficient with respect to a momentum component will give the component of velocity to correspond.
Conversely, if two fluids mix, it would seem that T'12 must exceed the mean of T 1 and T2; otherwise work would have to be expended to effect a close alternate stratification of the two bodies, such as we may suppose to constitute a first step in the process of mixture (Dupre, Theorie mecanique de la chaleur, p. 372; Kelvin, Popular Lectures, p. 53).
Cul t i To keep an estate clean and in good cultivation it re quires to be gone over every six weeks.
Cytological details of nuclear behaviour among the lichens are, however, difficult to obtain owing 'to the slow growth of these forms and the often refractory t' nature of the material in the matter of preparation for microscopical ex amination.
Denoting the value of T at any velocity v by T (v), then (8) T(v) = sum of all the preceding values of AT plus an arbitrary constant, expressed by the notation (9) T(v) =Z(Av)/gp+ a constant, or fdv/gp+ a constant, in which p is supposed known as a function of v.
Differentiating equation 9 with respect to s we obtain, after dividing by 27 as a common factor, pyds - T cos a ds + Ty s i n ad s =o...
Dividing thr Hugh by V and multiplying through by 550, 2240W 2240Wa R =Were+W vry t G (23) ' 'an expression giving the value of R the total tractive resistance.
Draw Pp and Qq touching both catenaries, Pp and Qq will intersect at T, a point in the directrix; for since any catenary with its directrix is a similar figure to any other catenary with its directrix, if the directrix of the one coincides with that of the other the centre of similitude must lie on the common directrix.
Draw the tangents at A and B, meeting at T; draw TV parallel to the axis of the parabola, meeting the arc in C and the chord in V; and M draw the tangent at C, meeting AT and BT in a and b.
During the eight years following he was' T heard at all the principal centres - including London, Leipzig, Berlin, Copenhagen, St Petersburg, Moscow, Warsaw, Constantinople, Lisbon and Madrid.
During the first centuries both branches of the Church had used vestments substantially the same, developed from common originals; the alb, chasuble, stole and pallium were the equivalents of the anxItinov, e t fvoXcov, copapcov and 1 The rationale is worn only over the chasuble.
During those four centuries their history is I t intertwined with that of the Pallavas, Chalukyas, Rashtrakutas and other minor dynasties.
Each section then vibrates, and its amplitude goes through all its values in time given by 21rUT/A =2r, or T =A/U, and the frequency is U/A.
Either two sounds are confused under one symbol, or these records represent a dialect which, like Hebrew and Assyrian, shows sh, z, and c, where the ordinary Aramaic representation is t, d, and t, the Arabic tic, dh, and th.
Eliminating t we have the equation of the path, viz.
Epidemic outbreaks of other diseases - for instance, cholera, diphtheria and typhoid fever - are often preceded and followed by the prevalence of mild illness of an allied type; and t he true significance of this fact is one of the most important problems in epidemiology.
Every simple continued fraction must converge to a definite limit; for its value lies between that of the first and second convergents and, since f ?n _ _1 I, L t.
Extraction of cane juice by diffusion (a process more fully described under the head of beetroot sugar manufacture) is adopted in a few plantations in Java and Cuba, in Louisiana Etr cti o n and the Hawaiian Islands, and in one or two factories y f i in Egypt; b u t hitherto, except under exceptional conditions (as at Aska, in the Madras Presidency, where the local price for sugar is three or four times the London price), it would not seem to offer any substantial advantage over double or triple crushing.
F, Fixed coil; D, Movable coil; S, Spiral spring; T, Torsion head; MM, Mercury cups; I, Index needle.
Farther west, on the coast, and provided with a convenient harbour, stands Pozzuoli (Puteoli), a city containing many Roman remains, but now chiefly remarkable for the large gunworks erected by Messrs Armstrong & Co.; and beyond it, round the Bay of Baiae, are Monte Nuovo, a hill thrown up in a single night in September 1538; the classic site of Baiae; the Lucrine Lake; Lake Avernus; the Lake of Fusaro (Acherusia Palus); the Elysian t Fields; and the port and promontory of Misenum.
For a few months after the dissolution of the Neapolitan parliament the government abstained from persecution, but with the crushing of the Sicilian revolution its hands The were free; and when the commission on the affair of Neapolitan prisons, t h e 15th of May had completed its labours the state trials and arrests began.
For a list of the principal " concordats," see Calvo, Droit international theorique et pratique t.
For example, in a one-dimensional system such as a string or a bar, we have one dependent variable, and two independent variables x and t.
For God is a living being, eternal, very good Q'cuov i t&ov eLpw'rov, ib.
For in time t the mutual action between two particles at P and Q produces equal and opposite momenta in the line PQ, and these will have equal and opposite moments about the fixed axis.
For some he was identical with Horus, and then phil was falcon-headed and was called Hor-akhti, the Horus of of t horizons.
For this the expansion is about t in.
From the centre, processes (s) go to circumference(t), ending in curved placentaries bearing the ovules.
From the motion of the satellites he finds that the mass of Uranus is - T - A o o th of that of the sun, while for the planet Neptune he finds a mass equal to 19 Toth of the sun, agreeing with the value previously found by him from the perturbations of Uranus within o th of its amount.
From the purely kinematic point of view, the t of our formulae may be any continuous independent variable, suggested (it may be) by some physical process.
From the relation between the critical constants Pk Vk/Tk = 37 R or T k /P k = 3 .
Full-grown specimens are about t yd.
Further, in the case of invariants, we write A= (1, i') 2 and take three new forms B = (i, T) 2; C = (r, r`) 2; R = (/y).
G rew ? ?S St N i thotas t `j ?
General Motion of a ParticleLet P, Q be the positions of a moving point at times t, t+t respectively.
Generally if S denotes any closed surface, fixed in the fluid, M the mass of the fluid inside it at any time t, and 0 the angle which the outward-drawn normal makes with the velocity q at that point, dM/dt = rate of increase of fluid inside the surface, (I) =flux across the surface into the interior _ - f f pq cos OdS, the integral equation of continuity.
Gloger brought out at Breslau the first (and unfortunately the only) part of a Vollstandiges Handbuch der Natur- In th e Introduction to r t his?
Greek Ci t ies now arose in all its provinces, superseding in g many cases native market places and villages, and holding the vantage-points of commerce.
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).
He ascertained the distribution of electricity among several spheres (whether equal or unequal) placed in contact in a straight line; and he measured the distribution of 2 In 1878 Clerk Maxwell repeated Cavendish's experiments with improved apparatus and the employment of a Kelvin quadrant electrometer as a means of detecting the absence of charge on the inner conductor after it had been connected to the outer case, and was thus able to show that if the law of electric attraction varies inversely as the nth power of the distance, then the exponent n must have a value of 2 t Isua.
He died in 1458, leaving Naples t le Mo to his illegitimate son Ferdinand I.
He especially owed his celebrity and fortune to his idea of crossing Niagara Falls on a tight-rope, i ioo f t.
He makes three classes; the first, including the Gospels, Acts, Epistles of Paul, i Peter, t John, is acknowledged; to these, if one likes, one may add the Apocalypse.
He quite agreed that self-will was the enemy; The was there no quicker way of checkmating it than T an interminable course of ecstasies and austerities?
He therefore employed the corresponding expression for a cycle of infinitesimal range dt at the temperature t in which the work dW obtainable from a quantity of heat H would be represented by the equation dW =HF'(t)dt, where F'(t) is the derived function of F(t), or dF(t)/dt, and represents the work obtainable per unit of heat per degree fall of temperature at a temperature t.
He was an intimate and trusted friend of President Lincoln, who considered his advice of great value, and at whose grave in Springfield he spoke the la!t words.
Hence anAu = auk t a22a33...ann, where the cofactor of an is clearly the determinant obtained by erasing the first row and the first column.
Hence dividing equation io by y sin a, we find p= T(I/R1+I /R2) (14).
Hence if F is the force by which the slip BB is pulled towards AA, F =d b T ab =Ta,..
Hence if the system be started from rest in a configuration for which V is less than in the equilibrium configuration considered, this quantity must sUll further decrease (since T cannot be negative), and it is evident that either the system will finally come to rest in some other equilibrium configuration, or V will in the long run diminish indefinitely.
Hence T, the point of intersection of Pp and Qq, must be the centre of similitude and must be on the common directrix.
Hence T12 = T1 +T2 - 2T'12 (47) If the two bodies are similar, T, = T2 =T',2; and T12 = o, as it should do.
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.
Hence the resultant of the surface-tension is 2l T cos a.
Hence the successive remainders are successively smaller multiples of L, but still integral multiples, so that the series of quotients k, s, t,.
Hence w, the weight per foot, varies as T, and we may write T =wX, where A is a constant length.
Here n is the number of gramme-molecules of solute, T the absolute temperature, R the gas constant with its usual "gas" value, p the vapour pressure of the solvent and v1 the volume in which one gramme-molecule of the vapour is confined.
Here the quinine acts as a bitter tonic. The tinctura quininae ammoniata or "ammoniated quinine" is made by mixing t 75 grains of quinine sulphate, 2 fluid oz.
Hertslet's Treaties Regulating the Trade, ez'c., between Great Britain and Turkey (London, 1875) presents a summary of all the principal treaties between Turkey and other states; see also Gabriel Effendi Noradounghian, Recueil d'actes internationaux de l'empire ottoman, 1300-1789, t.
His chief works were First Lines of the Practice of Physic (1774); Institutions of Medicine (1770); and Synopsis Nosologicae Medicae (1785), which contained his classification of diseases into four great classes - (t) Pyrexiae, or febrile diseases, as typhus fever; (2) Neuroses, or nervous diseases, as epilepsy; (3) Cachexiae, or diseases resulting from bad habit of body, as scurvy; L and (4) Locales, or local diseases, as cancer.
His first work on this abstruse subject, entitled T heorie des perturbations de la lune, qui sont dues a faction des planetes,1 is remarkable for the boldness of its conception, and constitutes an important addition to celestial dynamics.
His travels and mercantile experience had led E t u eopre him to conclude that the Hindu methods of computing were in advance of those then in general use, and in 1202 he published his Liber Abaci, which treats of both algebra and arithmetic. In this work, which is of great historical interest, since it was published about two centuries before the art of printing was discovered, he adopts the Arabic notation for numbers, and solves many problems, both arithmetical and algebraical.
Holtzmann (1845) by the same assumption deduced the value J/T for the function F'(t), but obtained erroneous results by combining this assumption with the caloric theory.
Hoof t died on a visit to the Hague, whither he had gone to attend the funeral of Prince Frederick Henry, on the 21st of May 1647, and was buried in the New Church at Amsterdam.
Hostilities broke o t at once, and Otto, who drew his main support from his hered'tary possessions in the Rhineland and Saxony, seized Aix-la-Cha s elle, and was crowned there on the 12th of July 1198.
I I KaTOLKb7ETE E7r ' i%7rt&c t' E f loL »' ye shall dwell securely with me "; for here ir' iXxiSc, as several times in the Septuagint, is a wrong rendering of ni '.
I t may, however, be pointed out that Brachiopods seem to belong to that class of animal which commences life as a larva with three segments, and that tri-segmented larvae have been found now in several of the larger groups.
I t r1 D Uoeree e?s/, 'c pn.
If 1 2 and t l are thicknesses traversed by the extreme rays, t = t 2 - t,, and if, as is usually the case, the prism is filled right up to its refraction cap, = o, and t becomes equal to the greatest thickness of the medium which is made use of.
If 1 denotes the logarithm to base e (that is, the so-called "Napierian " or hyperbolic logarithm) and L denotes, as above, " Napier's " logarithm, the connexion between 1 and L is expressed by L = r o 7 loge 10 7 - 10 7 / or e t = I 07e-L/Ia7 Napier's work (which will henceforth in this article be referred to as the Descriptio) immediately on its appearance in 1614 attracted the attention of perhaps the two most eminent English mathematicians then living - Edward Wright and Henry Briggs.
If a i, a 2 represent the densities of the two infinite solids, their mutual attraction at distance z is per unit of area 21ra l a fZ '(z)dz, (30) or 27ra l 02 0(z), if we write f 4,(z)dz=0(z) (31) The work required to produce the separation in question is thus 2 7ru l a o 0 (z)dz; (32) and for the tension of a liquid of density a we have T = a f o 0 (z)dz.
If A t A, are the cross sections of the tension and compression flanges or chords, and h the distance between their mass centres, then on the assumption that they resist all the direct horizontal forces the total stress on each flange is Ht=H,=M/h and the intensity of stress of tension or compression is f t = M/Ath, f c = M/Ach.
If extraneous forces act, the total angular momentum about any fixed axis is in time t increased by the total extraneous impulse about that axis.
If F T is the force along r and F t that along t at right angles to r, F r =X cos 0+ Y sin 0=M 2 cos 0, F t = - X sin 0+ Y cos 0 = - r 3 sin 0.
If in this we put r= I/u, and eliminate t by means of (15), we obtain the general differential equation of central orbits, viz.
If its tension is T the work required to effect this increase of surface will be TdS, and the energy of the film will be increased by this amount.
If K is the height of the flat surface of the drop, and k that of the point where its tangent plane is vertical, then T = 1(K - k) 2gp. Quincke finds that for several series of substances the surfacetension is nearly proportional to the density, so that if we call Surface-Tensions of Liquids at their Point of Solidification.
If now the curve moves along unchanged in form in the direction ABC with uniform velocity U, the epoch e =OA at any time t will be Ut, so that the value of y may be represented as 2 y=a sin T (x - Ut).
If Q= Ep+nq+wr and we put Q= (I +Zwt)(Ep-i-nq)X (1 Zwt) -1 we find that the quaternion t must be 2f (r) /f (q - p), where f(r)=rq - Kpr.
If r be the number of quotients in the recurring cycle, we can by writing down the relations connectin g the successive p's and q's obtain a linear relation connecting p nr +m, t'(n-1)r +m, +m in which the coefficients are all constants.
If S is the area of the orbit described in time T by an electron of charge e, the moment of the equivalent magnet is M = eST; and the change in the value of M due to an external field H is shown to be OM = - He'S/47rm, m being the mass of the electron.
If T be the tension, W the total weight, k the sag in the middle, and FIG.
If T denote the kinetic energy, we may say then that the sum T + V is in any interval of time increased by an amount equal to the work done by the extraneous forces.
If T is the mean torque, the work done on the crank-axle per revolution is 27rT.
If T' is the energy of a single surface of the liquid, T the energy of the film is 2T'.
If the bubble is in the form of a sphere of radius r this material surface will have an area S = 41rr 2 (I) If T be the energy corresponding to unit of area of the film the surface-energy of the whole bubble will be ST = 41rr 2 T (2) The increment of this energy corresponding to an increase of the radius from r to r-+dr is therefore TdS = 81rrTdr (3) Now this increase of energy was obtained by forcing in air at a pressure greater than the atmospheric pressure, and thus increasing the volume of the bubble.
If the disturbance be multiplied 1000 fold in time, t, qt=3log e 10=6.9, so that t= 79d a.
If the fork has slightly less frequency the waves will travel in the opposite direction, and it is easily seen that the frequency of the fork is the number of white lines passing a point in a second t the number of waves passing the point per second.
If the same rolling curve R, with the same tracing-point T, be rolled on the outside of any other pitch-circle, it will have the fare of a tooth suitable to work with the flank AT.
If the semi-angular aperture (w) be T 36, and tan 0' might be as great as four millions before the error of phase would reach 4X.
If the three fluids can remain in contact with one another, the sum of any two of the 3 quantities must exceed the third, and T 31 I by Neumann's rule the directions of the interfaces at the common edge must be parallel to the sides of a triangle, taken proportional to T12, T23, T31.
If the wave-length is X, the equation of the surface is y=b sin 2lrxx The pressure due to the surface tension T is p= - Td 2 = 4Ty.
If two such W2 0 - - hyperboloids E, F, equal or E T unequal, be placed in the closest possible contact, as in fig.
If v= X/r we have T = PX3 2 coth 27rh gX 2 p .
If we denote the critical volume, pressure and temperature by Vk, Pk and Tk, then it may be shown, either by considering the characteristic equation as a perfect cube in v or by using the relations that dp/dv=o, d 2 p/dv 2 =o at the critical point, that Vk = 3b, Pk= a/27b2, T ic = 8a/27b.
If we divide throughout by T, we obtain d 2 (n+3)RN T +RNd v, showing that dQ/T is a perfect differential.
If we eliminate P, Q, R from (22), the resulting equations are integrable with respect to t; thus Moa - M0a.
If we imagine the bar in question t be removed, equilibrium will still persist if we introduce two equal and opposite forces S, of suitable magnitude, at the joints which it connected.
If we measure t from an instant at which the two trains exactly coincide, then as U for the other train has the opposite sign, its displacement is represented by y2= a sin (x+Ut).
If we measure the time from an instant at which the two are in the same phase the resultant disturbance is y=a sin i t+a sin 27rn2t =2a cos ir(n i - n 2)t sin ir(nl-t-n2)t, which may be regarded as a harmonic disturbance of frequency (ni+n2)/2 but with amplitude 2a cos 7r(n i - n 2)t slowly varying with the time.
If we put for shortness 7 for the quantity under the last circular function in (I), the expressions (i), (2) may be put under the forms u sin T, v sin (T - a) respectively; and, if I be the intensity, I will be measured by the sum of the squares of the coefficients of sin T and cos T in the expression u sin T +v sin (T - a), so that I =u 2 +v 2 +2uv cos a, which becomes on putting for u, v, and a their values, and putting f =Q .
If we write CI for the chordal area obtained by taking ordinates at intervals Zh, then T i =2CI-C I.
In 1540 it covered 8 acres of ground, abutting on the harbour near the t ` King's Stairs."
In 1873 he was gazetted to the 45 t h regiment.
In 978 she lef t the court and lived partly in Italy, partly with her brother Conrad, king of Burgundy, by whose mediation she was ultimately reconciled to her son.
In a well-made apparatus the pressure in the exhausted vessel is now reduced to I t o or 2 1, of a millimetre, or even less.
In another account (as T ptTo-y vECa) she is the daughter of the river Triton, to which various localities were assigned, and wherever there was a river (or lake) of that name, the inhabitants claimed that she was born there.
In England the powers of the local authorities are defined by ac,t of parliament, and within the limits of these powers they have a free hand.
In every direction can be seen luxuriant valleys through which rivers thread their silvery way, wild chasms, magnificent waterfalls - that of Maletsunyane has an unbroken leap of over 600 f t.
In height it varies from about s000 ft, close to the bases of the mountain systems to less than 3000 f t.
In keloid 20 minims of a t o% solution is injected directly into the part.
In like manner, if either the same or any other rolling curve be rolled the opposite way, on the outside of the pitch-circle BB, so that the tracing point T shall start from A, it will trace the face AT of a tooth suitable to work with a flank traced by rolling the same curve R with the same tracing-point T inside any other pitch-circle.
In observations upon ripples the factor involving h may usually be omitted, and thus in the case of water (p= I) ?3 g ?2 T = 2 2 4, r (3) simply.
In order that the velocity shall remain unchanged the tension T must remain the same.
In order to find the corrections in respect of the terms shown in square brackets in the formulae of § 75, certain ordinates other than those used for C 1 or T I are sometimes found specially.
In order to utilize this power, the converting mill, in which the pig iron is converted into steel, and the rolling mills must adjoin t h e blast - furnace.
In order, however, to impute the whole work to Anaximenes, Spengel took one of the most inexcusable steps ever taken in the history of scholarship. Without any manuscript authority he altered the very first words " three genera " (T pia -yin) into " two genera " (Suo -ybni), and omitted the words " one declamatory " (rO SE E7rLSEtKrucOv).
In other words, the composition of the frozen part and that of the mother-metal respectively are p and q at the beginning of the freezing, and r and t' at the end; and during freezing they slide along Aa and AB from p to r and from q to t'.
In particular, if there are no extraneous forces T + V is constant.
In Portsmouth are an Athenaeum (1817), with a valuable library; a public library (1881); a city hall; a county court house; a United States customs-house; a soldiers' and sailors' monument; an equestrian t Island 'Portsmouth ' ?Cd'i .9?-?.
In short, from Ar 3 to Ar t the excess substance ferrite or cementite, in hypoand hyper-eutectoid steels respectively, progressively crystallizes out as a network or skeleton within the austenite mothermetal, which thus progressively approaches the composition of hardenite, reaching it at Ar t, and there splitting up into ferrite and cementite interstratified as pearlite.
In some recent masonry arched bridges of spans up to ' so f t.
In t he Duplicidentata only is there more than a single pair of incisors, and in these the additional pair is small and placed behind the middle pair.
In that country was a large party which, under the name of the " Irredentists," demanded that those Italian-speaking districts, South Tirol, Istria and the t rea Trieste, which were under Austrian rule, should be joined to Italy; there were public meetings and riots in Italy; the Austrian flag was torn down from the consulate in Venice and the embassy at Rome insulted.
In the applications with which we are concerned, t, n are very small quantities; and we may take P = x yn - At the same time dS may be identified with dxdy, and in the de nominator p may be treated as constant and equal to f.
In the case of prisms the resolving power ist (dµ/dX), where t is the effective thickness of the medium traversed by the ray.
In the East the festival is known as the avitXi t ' cs, "taking up," or E rtcrco oµELn, a term first used in the Cappadocian church, and of which the meaning has been disputed, but which probably signifies the feast "of completed salvation."
In the equation dP/dT= X/T(v 2 - v 1), P is the osmotic pressure, T the absolute temperature and X the heat of solution of unit mass of the solute when dissolving to form a volume v2 - v1 of saturated solution in an osmotic cylinder.
In the latter case the two sections are taken at distances t 2H/ A l 3 = = 2887H from the middle section, where H is the total internal length; and their arithmetic mean is taken to be the mean section of the cask.
In the middle of words when t precedes a palatal sound like i (y) which is not syllabic, it coalesces with it into the sound of sh as in position, nation, &c. The change to a sibilant in these cases took place in late Latin, but in Middle English the i following the t was still pronounced as a separate syllable.
In the motion consequent on any slight disturbance the total energy T+V is constant, and since T is essentially positive it follows that V can never exceed its equilibrium value by more than a slight amount, depending on the energy of the disturbance, This implies, on the present hypothesis, that there is an upper limit to the deviation of each co-ordinate from its equilibrium value; moreover, this limit diminishes indefinitely with the energy of the original disturbance.
In the next stage of complication, seen in the supernumerary (seventh) ocellus of Charybdaea, the patch of pigmented and sensory epithelium is pushed in to form a little pit, in the T Aurelia aurita.
In the simplest case it may consist of a single cell, which may tions occur, and the thallus is more or less the continuous tube from remain free during the whole of the greater part of its t xistence, which the group is named.
Integrating (27) again, (31) y =g(zTt2t 2) = zgt(T -t); and denoting T-t by t', and taking g= 32f/s2,) y =16tt', (32 which is Colonel Sladen's formula, employed in plotting ordinates.
Integrating the first term within brackets by parts, it becomes - fo de Remembering that 0(o) is a finite quantity, and that Viz = - (z), we find T = 4 7rp f a, /.(z)dz (27) When c is greater than e this is equivalent to 2H in the equation of Laplace.
It follows that putting n for the mean motion and T for the period of revolution we shall have in degrees nT=3600.
It is also true that Neoplatonism sought to come to an understanding 1 Porphyry wrote a book, lrfpi T Aoyi a' CALAof001as, but this was before he became a pupil of Plotinus; as a philosopher he was independent of the Aoyca.
It is divided by the pitch-point I into two .partsthe arc or line of approach described by T in approaching the line of centres, and the arc or line of recess described by T after having passed the line of centres.
It is generally agreed that the period since 1885 has witnessed a very marked increase of missionary zeal and interest in Great Britain, both in the Church t of England and among the Nonconformists.
It is heated by a small cokefire or by a gas flame in C. It communicates through a passage _ t ?
It is known variously as the t -._._ 1 .......
It is noteworthy that the word av6.9E1.ta had fallen into disuse about the beginning of the 4th century, and that, throughout the same period, no instance of the judicial use of the phrase rapaSovvat T(i) larava can be found.
It is on a consideration of these factors of t that Cayley bases his solution of the quartic equation.
It is one of a chain of lakes which stud the floor of the valley and has an elevation of 3325 f t.
It is possible to adjust the apparatus so that a tilt of Tolua sec. of arc, or a change of slope of t in.
It is probable that the verb had a special form denoting condition, as in Arabic. There was a causative form prefixing t, and ti-aces of forms resembling Piel and Niphal are observed.
It is probably the red sanders or red 1 Comptes Rendus, t.
It is required to find, first, how many pairs of teeth must pass the line of contact of the pitch-surfaces before I and T work together again (let this number be called a); and, secondly, with how many different teeth of the larger wheel the tooth t will work at different times (let this number be called b); thirdly, with how many different teeth of the smaller wheel the tooth T will work at different times (let this be called c)
It may seem at first that so many as 44 consonants can scarcely be necessary, but the explanation is that several of them express each a slightly different intonation of what is practically the same consonant, the sound of" kh,"for instance, being represented by six different letters and the sound of" t "by eight.
It passes over equal spaces in equal times, but falls with an accelerating velocity according to the formula h = zgt 2, where h is the height fallen through, g the force of gravity, and t the time of flight.
It simply asserts that the efficiency function F'(t), which is known as Carnot's function, is the same for all substances at the same temperature.
It was compiled from the notes of the marshal's squire, John d'Early (t 1230 or 1231), who shared all the vicissitudes of his master's life and was one of the executors of his will.
It was raised on a podium t o ft.
Its angular points have then co-ordinates (x t Zdx, y t Zdy, z * zdz).
Its consonants are k, g, ng, ch, j, n, t, d, n, p, b, m, y, r, l, w, s, h.
Kelvin had previously proposed to define an absolute scale of temperature independent of the properties of any particular substance in terms of Carnot's function by making F'(t) constant.
Lastly, by using different strings, it may be shown that, with the same T and 1, (i/m).
Leonardo gave as solution the numbers 11 i 4 4, 16, 9 4 - 7 4 and 6197 T, - the squares of 3,, 41'v and 2, 7; and the method of finding them is given in the Liber quadratorum.
Let a charge +Q be f t the ellipsoid a similar and slightly larger one, that distribution will be in equilibrium and will produce a constant potential throughout the interior.
Let B/C be the velocity ratio required, reduced to its least terms, and let B be greater than C. If B/C is not greater than 6, and C lies between the prescribed minimum number of teeth (which may be called t) and its double 2t, then one pair of wheels will answer the purpose, and B and C will themselves be the numbers required.
Let ci denote the velocity 1sf Tf at any given instant; v2 that of T,.
Let E be the effective elasticity of the aether; then E = pc t, where p is its density, and c the velocity of light which is 3 X 10 10 cm./sec. If = A cos" (t - x/c) is the linear vibration, the stress is E dE/dx; and the total energy, which is twice the kinetic energy Zp(d/dt) 2 dx, is 2pn2A2 per cm., which is thus equal to 1.8 ergs as above.
Let l be the breadth of the plates measured perpendicularly to the plane of the paper, then the length of the line which bounds the wet and the dry parts of the plates inside is 1 for each surface, and on this the tension T acts at an angle a to the vertical.
Let n, w be two quasi-scalars such that r t e =n, con = w, nw =w 2 = o.
Let P, Q be the positions of a u-i.aa moving point at times t, t + &, V Q
Let s be the perpendicular from 0, the join of C and T on the direction of S; t the perpendicular from A, the join of C and S on the direction of T; and c the perpendicular from B, the join of S and T on the direction of C. Taking moments about 0, Rx - W 1 (x+a) - W 2 (x+2a) =Ss; taking moments about A, R3a-W 1 2a-W 2 a =Tt; and taking moments about B, Rea-W I a = Cc.
Let t be the statical breaking strength of a bar, loaded once gradually up to fracture (t = breaking load divided by original area of section); u the breaking strength of a bar loaded and unloaded an indefinitely great number of times, the stress varying from u to o alternately (this is termed the primitive strength); and, lastly, let s be the breaking strength of a bar subjected to an indefinitely great number of repetitions of stresses equal and opposite in sign (tension and thrust), so that the stress ranges alternately from s to -s.
Let T be the surface energy per unit of area; then the energy of a surface of area S will be ST.
Let T, and T2 be the observed times of passage in the two directions.
Let t, T be a pair of teeth in the smaller and larger wheel respectively, which at a particular instant work together.
Let Ti be the tension of the free part of the band at that side towards which it tends to draw the pulley, or from which the pulley tends to draw it; 1, the tension of the free part at the other side; T the tension of the band at any intermediate point of its arc of contact with the pulley; 0 the ratio of the length of that arc to the radius of the pulley; do the ratio of an indefinitely small element of that arc to the radius; F=TiT2 the total friction between the band and the pulley; dF the elementary portion of that friction due to the elementary arc do; f the coefficient of friction between the materials of the band and pulley.
Let us Freezing freeze out unit mass of solvent from a solution at its freezing point T - dT and remove the ice, which is assumed to be the ice of the pure solvent.
Let us suppose that the rod is circular, of radius r, and that the radial displacement of the surface is r t.
Let us suppose that with constant excess of pressure, p, in the wind-chest, the amplitude produced is proportional to the pressure, so that the two tones issuing may be represented by pa sin 27-nit and pb sin 21rn 2 t.
Let x, y, z be the co-ordinates of any particle of the medium in its natural state, and, 7 7, the displacements of the same particle at the end of time t, measured in the directions of the three axes respectively.
Like his emperor ancestor, Rudolph, he had to conquer the lands over Maxi- which his descendants were destined to rule, and by milian t arranging a treaty of succession to the kingdoms of Hungary and Bohemia, he pointed the way to power and empire in eastern Europe.
Live-stock and dairy products are important factors in the T C t o L %i, aa.
Luminous arcs (T), tangential to the upper and lower parts of each halo, also occur, and in the case of the inner halo, the arcs may be prolonged to form a quasi-elliptic halo.1 The physical explanation of halos originated with Rene Descartes, who ascribed their formation to the presence of icecrystals in the atmosphere.
Magee's manifold activities, his capability as an administrator, his sound judgment, and his remarkable insight into the ecclesiastical problems of his time, rank him among t he most distinguished of English prelates.
Method 1.By reference to 30 it will be seen that the motion of a cylinder rolling on a fixed cylinder is one of rotation about an instantaneous axis T, and that the velocity both as regards direction and magnitude is the same as if the rolling piece B were for the instant turning about a fixed axis coincident with the instantaneous axis.
Moawiya, a great-grandson of Ali's brother Ja t far, put himself at the head of a band of Shiites and maulas, made himself master of Kufa and marched upon Hira, where, since Yusuf b.
Mond (1862), but as these required the use of hydrochloric acid, and as they only recovered about half of the Scale T 6.
More mobile and more searching than ice or rock rubbish, the trickling drops are guided by the deepest lines of the hillside in their incipient flow, and as these lines converge, the stream, gaining strength, proceeds in River its torrential course to carve its channel deeper and en- t trench itself in permanent occupation.
Moreover, it is clear that Aristotle addressed himself to readers as well as hearers, as in concluding his whole theory of syllogisms he says, " There would remain for all of you or for our hearers (763,7 co y uµWV rt T&?v ipcpoapEVwv) a duty of according to the defects of the investigation consideration, to its discoveries much gratitude " (Sophistical Elenchi, 34, 184 b 6).
Moreover, though each natural substance is corruptible (40apr6v), species is eternal (&t&ov), because there was always some individual of it to continue its original essence (expressed by the imperfect tense in TO TI Etvae), which is ungenerated and incorruptible; the natural world therefore is eternal; and nature is for ever aiming at an eternal propagation, by efficient acting on matter, of essence as end.
Mountasns.The Japanese islands are traversed from north t south by a range of mountains which sends out various laterl branches.
Near the gate to the south was the guest-hall or hospitium (T).
Near this hamlet on the coast of the Gulf of Mirabello in east Crete,t he American archaeologist MissHarriet Boyd hasexcavated a great part of another Minoan town.
Neither hot, cold, nor wet weather has practically any effect whatever upon i t.
None of them, in point of fact, has held its ground, and even his proposal to denote unknown quantities by the vowels A, E, I, 0, u, Y - the consonants B, c, &c., being reserved for general known quantities - has not been taken up. In this denotation he followed, perhaps, some older contemporaries, as Ramus, who designated the points in geometrical figures by vowels, making use of consonants, R, S, T, &c., only when these were exhausted.
None, however, was of equal im- b ortance with the first, and their details are given vaguely by t.
Not only was its very existence an obstacle to .the T he Parcy a n d the spread of their temporal power in the peninsula, Norman but it frequently acted in concert with the pope 's Kingdom enemies and thwarted the papal policy.
Notices of his life are contained in the Eloges by Merard de Saint Just, Delisle de Salles, Lalande and Lacretelle; in a memoir by Arago, read the 26th of February 1844 before the Academie des Sciences, and published in Notices biographiques, t.
Now 2 7rmpi,t(c) represents the attraction between a particle m and the plane surface of an infinite mass of the liquid, when the distance of the particle outside the surface is c. Now, the force between the particle and the liquid is certainly, on the whole, attractive; but if between any two small values of c it should be repulsive, then for films whose thickness lies between these values the tension will increase as the thickness diminishes, but for all other cases the tension will diminish as the thickness diminishes.
Now if a be the amplitude expressed in millimetres, and t the period expressed in seconds, then the maximum velocity of an earth particle as it vibrates to and fro equals 27ra/t, whilst the maximum acceleration equals 4,r 2 0 2.
Now if the notch of the tan gent sight be carried to H' in order to lay on T, the fore-sight, and with it the axis, H will be moved to F', the line of fire will be HF'D', and the shot will strike T since D'T = DT.
Now T = 3/41w1, where w is the angular velocity and I is the moment of inertia about the instantaneous axis.
O Kni hts t.M1 Chetida t O BG O Tilshead + E h t Mell.
Of a somewhat different nature is the brick tea prepared chiefly at Ya-chou in Brick t ea the province of Ssu-chuan, for overland transit to Tibet, for Tibet.
Of late years there has been a controversy among Anglican theologians as to the exact nature of the gif t conveyed through confirmation, or, in other words, whether the Holy Spirit can be said to have come to dwell in those who have been baptized but not confirmed.
Of the land in the possession of the peasants no less than 70% is under crops, and of the land in the larger estates 52%; of the former category t i %, and of the latter 8%, is meadow.
Old shore lines and other indications point to the level of the lake having once been 50 f t.
On 21 referenda, io being questions of license, the ratio of actual to registered voters ranged on the latter from 57.00 to 75.38% (mean 67.15), and on other referenda from 75.6 3 t o 33.4 0 (mean 61.39), - the mean for all, 64.18.
On either side of any one of them the illumination is distributed according to the same law as for the central image (m = o), vanishing, for example, when the retardation amounts to (mn t 1)X.
On his death in 1897 his nephew Abdul-Aziz, son of the murdered amir Matab, succeeded; during his reign a new element has been introduced into Nejd politics by the rising importance of Kuwet (Koweit) and the attempts R t g P () P history.
On June 1 t Napoleon himself left Paris for tratlon.
On the 21st of October parliament met, and, though Charles in his speech had barely alluded t o o the plot, all other business was put aside and Oates was called before the House.
On the 9th of February 1589 he preached at Paul's Cross a sermon on t John iv.
On the other hand, while phonetically the above explanation was not inconsistent with such cases as rka dkah, bkah, bska, and nga, rnga, ngag, sngags, lnga, ngad and brtse, brdzun, dbyar, &c., where the italicized letters are pronounced in full and the others are left aside, it failed to explain other cases, such as dgra, mgron, spyod, snyan, sbrang, sbrul, bkra, k'ri, krad, k'rims, k'rus, &c., pronounced da, don, cod, or swod, cen, Bang, deu, ta, t'i, tad or teh, tim, tu, &c., and many others, where the spoken forms are obviously the alteration by wear and tear of sounds originally similar to the written forms. Csoma de Koros, who was acquainted with the somewhat archaic sounds of Ladak, was able to point to only a few letters as silent.
On the top of the stupa was an ornament shaped like the letter T, and as the base of the stupa was above the quadrangle, the total height of the monument was between 50 and 60 ft.
One of the best methods for doing this is to charge the Ab l condenser by the known voltage of a battery, and then d e t erdischarge it through a galvanometer and repeat this minations.
Or generally, if M 1 M2 M3 are the moments of the external forces to the left of 0, A, and B respectively, and s, t and c the perpendiculars from 0, A and B on the directions of the forces cut by the section, then Ss=M11 Tt=M2andCc=M3.
Pop. (1890) 12,024; (1900) 15,110, of whom 2952 were foreign-born; t(1906) 17,719.
Potatoes are sometimes grown in pots in heat, sprouted sets being planted in t t-in.
Replacing then the angle i on the right-hand side of equations (54) - (56) by some mean value, t, we introduce Siacci's pseudovelocity u defined by (59) u = q sec, t, so that u is a quasi-component parallel to the mean direction of the tangent, say the direction of the chord of the arc.
Representing by P this position, it follows that the area of that portion of the ellipse contained between the radii vectores FB and FP will bear the same ratio to the whole area of the ellipse that t does to T, the time of revolution.
Resolving horizontally we find T (COS 02 - COS 01)+2gp (y22-3/12) =0, whence cos 02 = COS gpy12 - gpy22, 2T 2 T or if we suppose P 1 fixed and P2 variable, we may write cos constant - Zgpy2/T.
Resolving vertically we find that the weight of the liquid raised above the level must be equal to T(sin 0 2 - sin 01), and this is therefore equal to the area P 1 P 2 A 2 A 1 multiplied by gp. The form of the capillary surface is identical with that of the " elastic curve," or the curve formed by a uniform spring originally straight, when its ends are acted on by equal and T 2 opposite forces applied either to the ends themselves or to solid pieces attached to them.
Rr; t Maplt 9?n Mauryl., ' v.?
Schlomilch defines these functions as the coefficients of the power of t in the expansion of exp 2p(t - t1).
Similarly the corresponding image ray may be defined by the points (t', i'), and (x', y'), in the planes I' and II'.
Similarly the statements P+Q - R - S = T and P+ Q - R= T+ S are the same.
Since in the case of thin films the outer and inner surfaces are approximately equal, we shall consider the area of the film as representing either of them, and shall use the symbol T to denote the energy of unit of area of the film, both surfaces being taken together.
Since t horse-power= 746 watts, and r ton = 2 240 lb, the factor for reducing horse-power per ton to watts per lb is 746/2240, or just 1/3.
Since T is a homogeneous quadratic function.
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 ?
Since the distance of a body from the observer cannot be observed directly, but only the right ascension and declination, calling these a and 6 we conceive ideal equations of the form a = f (a, b, c, e, f, g, t) and 5=0 (a, b, c, e, f, g, t), the symbols a, b,.
Some connexion with the goddess Ashir(t)a, however, is not unlikely.
Stewart found for pure iron, k = .175 (i - .0015 t) C.G.S.
Strabo follows up the topographical data with a few brief historical statements - "OaKot €t ov Kai raur'v Kai 111v e0-js no,u?rniav.
Subsequently, however, he became one of his supporters, and is mentioned as t i'Jing part in an embassy to Antony's camp at Mutina with the object of bringing about a reconciliation.
Suppose now that F =a sin 22rn i t+b sin 21rn 2 t, the second term will evidently produce a series of combination tones of periodicities 2n 1, 2772, n, - n2, and n 1 -1-n 2, as in the first method.
Suppose we find Q = sR+T, then we repeat the process with R and T; and so on.
T = (j, j) 2 jxjx; 0 = (iT)i x r x; four other linear covariants, viz.
T = 3aK; whereas according to the above calculation T = 20aK.
T =273, we obtain R =1.35 X Io -16 and this enables us to determine the mean velocities produced by heat motion in molecules of any given mass.
T appears in Etruscan as y, 7 t, and X; of these Umbrian borrows the first two, while Oscan has a form T like Latin.
T Aw 6(23)B A Series Of 2(W 2) Or Of 2(W I) Forms According As W Is Even Or Uneven.
T Cloth is a plain grey calico, similar in kind to the Mexican and exported to the same markets.
T h e buccal nerves and ganglia are omitted.
T he great manufacturing centres are Cleveland, Cincinnati, Youngstown, Toledo, Columbus, Dayton and Akron, and in 1905 the value of the products of these cities amounted to 56.7% of that for the entire state.
T here are of course a great number of important industries which have a general distribution throughout the country, being more or less fully developed here or there in accordance with the requirements of each locality.
T is part of the tube proper, and turns with the head.
T maps of more elaborate design illustrate the MS. copies of Sallust's Bellum jugurthinum; one of these taken from a codex of the 11th century in the Leipzig town library is shown in fig.
T, Part of resonating pipe, the upper end with cap and vent hole being shown separately at the side.
T, telson, having the uropods or appendages of the last abdominal somite spread out on either side of it, forming the " tail-fan."
Taking the case where the motion is strictly in two dimensions, we may write as the polar equation of the surface at time t r =a cos nB cos pt, (4) where p is given by p2 = (n3_ n)..
Taking the squares of the amplitude to represent the intensity or loudness of the sound which would be heard by an ear at the point, this is 4a 2 cos t ir(ni - n2)t =2a 2 {1 -cos 27r(n l - n2)t}, a value which ranges between o and 4a 2 with frequency .n1 - n2.
That K is in all cases of the fourth order and T of the fifth order in the range of the forces is obvious from (37) without integration.
That's Roman wormwood--that's pigweed--that's sorrel--that's piper-grass--have at him, chop him up, turn his roots upward to the sun, don't let him have a fibre in the shade, if you do he'll turn himself t' other side up and be as green as a leek in two days.
The "residence of the physicians" (S) stands contiguous to the infirmary, and the physic garden (T) at the north-east corner of the monastery.
The "tangential arcs" (T) were explained by Young as being caused by the thin plates with their axes horizontal, refraction taking place through alternate faces.
The amoun brewed per head of the population amounted, in 1905, roughly t 160 imperial pints in the excise district; to 450 in Bavaria; 280 jI Wurttemberg; 260 in Baden; and 122 in Alsace-Lorraine.
The analogous formula appertaining to n systems of quantities which Vienna Transactions, t.
The apparatus used to measure P or T is the dynamometer.
The argument involves the theorem that, if 0 is a positive quantity less than I, 0 t can be made as small as we please by taking t large enough; this follows from the fact that tlog 0 can be made as large (numerically) as we please.
The award, which was signed and published on the 15th of August 1893, was in t favour of Great Britain on all points.
The banking law was designed tc reduce this circulation of notes; 19,250,000 was fixed as an aggre gate maximum of uncovered notes of t,he banks.
The cartesian equation referred to the axis and directrix is y=c cosh (x/c) or y = Zc(e x / c +e x / c); other forms are s = c sinh (x/c) and y 2 =c 2 -1-s 2, being the arc measured from the vertex; the intrinsic equation is s = c tan The radius of curvature and normal are each equal to c sec t '.
The church here is of the Cistercian t e YP with a short chancel of two squares, and transepts with three eastward chapels to each, divided by solid walls (222).
The city lies about 7000 f t.
The coast is for the most part flat, more regular in outline and less favourable to shipping, while in the east, 1 The name T pcvaKpia was no doubt suggested by the OpcvaKln of Homer (which need not, however, be Sicily), and the geography was then fitted to the apparent meaning given to the name by the change.
The commonest form of medieval historical writing was the chronicle, which reaches all t he way from monastic annals, mere notes on Easter tables, to the dignity of national monuments.
The component of T perpendicular to the axis is Tdy/ds=Tdy/dx.
The constant may be any arbitrary number, as in using the table the difference only is required of two tabular values for an initial velocity V and final velocity v; and thus (to) T(V) - T(v) = Ev Ov/gp or fvdv/gp; and for a shot whose ballistic coefficient is C (II) t=C[T(V) - T(v)].
The couple T is necessarily accompanied by an equal and opposite couple acting on the frame, which couple endeavours to turn the frame in the opposite direction to that in which the axle rotates.
The criminal code, based Cases t on that of Prussia anterior to 1870, was ear.
The crowns should rise t ft.
The desired result is obtained either by moving the manufactured goods gradually away from a constant source of heat, or by placing them in a heated kiln and allowing t he heat gradually to die out.
The Dipylon consists of an outer and an inner gate separated by an oblong courtyard and flanked on either side by towers; the gates were themselves double, being each composed of two apertures intended for the incoming and outgoing traffic. An opening in the city wall a little to the south-west, supposed to have been the Sacred Gate (iep t riAn), was in all probability an outlet for the waters of the Eridanus.
The discriminant, whose vanishing is the condition that f may possess two equal roots, has the expression j 2 - 6 i 3; it is nine times the discriminant of the cubic resolvent k 3 - 2 ik- 3j, and has also the expression 4(1, t') 6 .
The epithets i-rriria, XaXtviTts, 5a t ta6t7r7r-os, usually referred to her as goddess of war-horses, may perhaps be reminiscences of an older religion in which the horse was sacred to her.
The eye perceives this picture, which gives the impression of the T much magnified, but turned upside down.
The factor T becomes of importance in long range high angle fire, where the shot reaches the higher attenuated strata of the atmosphere; on the other hand, we must take about 800 in a calculation of shooting under water.
The fall of Sana made a deep impression t Constantinople, every effort was made to hasten out reinforcements, the veteran Ahmad Feizi Pasha was nominated to the supreme command, and Anatolian troops in place of the unreliable Syrian element were detailed.
The farther descent of the bucket being thus arrested, the special cable T is now slackened, so that the conical bottom of the bucket drops down, pressing down by its weight the the string of moulds, each thus containing a pig, moves slowly forward, the pigs solidify and cool, the more quickly because in transit they are sprayed with water or even submerged in L Winter Stock Pile .?t' S ..
The first equation leads, as before, to t=C{T (V)-T(v)}, (29) x=C{S(V)-S(v)}.
The flame-like P u t the matter in another processes and outliers are composed of way, if we could imagine writhing filaments, and the contours all the living cells of a are continually changing while the large oak or of a horse, colony moves as a whole.
The form (I) is deduced from it by putting itt, and taking t to be infinitely small.
The fragment beginning TfOva F t 'ac -yap xaaov has been translated by Thomas Campbell, the poet.
The frui t is a pod or siliqua splitting by two valves from A "0 D FIG.
The great thickness of the Gangetic alluvium is shown by a borehole at Calcutta which was carried to a depth of about 460 f t.
The grocers ordain "that no man of the fraternite take his neyghbor's house y t is of the same fraternite, or enhaunce the rent against the will of the foresaid neyghbor."
The h L lower Mississippi receives no large tributary from the T e ower east, but two important ones come from the west; the Mississippi Arkansas drainage area being a little less than that River.
The hall was a very spacious apartment, measuring 83 f t.
The heat Q transmitted in a given time T may be deduced from an observation of the rise of temperature of the water, and the amount which passes in the interval.
The heat transmitted through the plane x is equal per unit area of surface to the product of k by the mean temperature gradient (de /dx) and the interval of time, T - T'.
The House now consisted of 516 members, of whom 221 were of Slav nationality, 177 of German nationality, and 87 Social Democrats, so that in every national controversy t he latter could carry a decision in accordance with their principles.
The Indian t, however, is probably produced still farther from the teeth than is the English sound.
The initial values of T, S, D, I, A must be accepted as belonging to the anterior portion of the table.
The kinetic energy per cubic centimetre is 2 pu t, where is the density and u is the velocity of disturbance due to the passage of the wave.
The kinetic energy T of the motion relative to 0 will be constant.
The legends of Merlin and Arthur, collected in the Historia Regum Britanniae by Geoffrey of Monmouth (t 1154), passed into French literature, bearing the character which the bishop of St Asaph had stamped upon them.
The letters r and t have been discarded in favour of 1 and k, as expressing more accurately the native pronunciation, so that, for example, taro, the former name of the Colocasia plant, is now kalo.
The line of contact T, therefore, on the surface of the cylinder bbb, is for the instant at rest, and is the instantaneous axis FIG.
The line T on the surface bbb has also for the instant no velocity in the plane AB; for it has just ceased to move towards the fixed surface aaa, and is just about to begin to move away from that surface.
The line T on the surface bbb has for the instant no velocity it a direction perpendicular to AB; becau2e for the instant it touches, without sliding, the line T on the fixed surface aaa.
The list recognized four Gospels, Acts, thirteen epistles of Paul, two epistles of John, Jude, Apocalypse of John and (as the text stands) of Peter; there is no mention of Hebrews or (apparently) of 3 John or Epistles of Peter, where it is possible - we cannot say more - that the silence as to t Peter is accidental; the Shepherd of Hermas on account of its date is admitted to private, but not public, reading; various writings associated with Marcion, Valentinus, Basilides and Montanus are condemned.
The literary criticisms, generally distinguished by keen and independent judgment, and t e excerpts, vary considerably in length.
The literary quarrel between him and Freeman excited general interest when it blazed out in a series of articles which Freeman wrote in the Contemporary Review (1878-1879) t ort Froude's Short Study of Thomas Becket.
The loose aggregation of agricultural households gives place t o the organized community with new needs and new g y ideals, and at the same time in religious thought the old vague notion of the numen is almost universally superseded by the more definite conception of the dens - not even now quite anthropomorphic, but with a much more clearly realized personality.
The map or diagram of which Leonardo Dati in his poem on the Sphere (Della Spera) wrote in 1422 " un T dentre a uno 0 mostra it disegno " (a T within an 0 shows the design) is one of the most persistent types among the circular or wheel maps of the world.
The moment of friction of this pivot is at first almost C, inappreciable from the extreme smallness of the T radius of the circles of contact of the ball and cups, but, as they wear, that radius and the moment of friction increase.
The most considerable range of mountains occupies the centre of the province, the highest peak being the T`ai-shan (5060 ft.), a mountain famous in Chinese history for more than 4000 years, and to which hundreds of pilgrims annually resort.
The moving axes Ox, Oy, 01 form a rigid frame of reference whose motion at time t may be specified by the three component angular velocities p, q, r.
The north point, indicated in some of the oldest compass cards with a broad arrow-head or a spear, as well as with a T for Tramontano, gradually developed by a combination of these, about 1492, into a fleur de lis, still universal.
The numerous tests of the strength of timber which have been made by various authorities from time to time vary so much, both as regards the conditions under which they were carried out and the results obtained, that T; ?;berh great discretion is required in using them for any practical purpose.
The ovary (o) and the testis (t) of Ectoprocta are developed on the body-wall, on the stomach, or on the funiculus.
The partial differential coefficient of T with respect to a component of velocity, linear or angular, will be the component of momentum, linear or angular, which corresponds.
The phrase used is AELTOvp'yEl y T 7 V XeLrovpyLav, " to liturgize the liturgy."
The ports in Great Britain at which foreign animals may be landed are Bristol, Cardiff, Glasgow, Hull, Liverpool, London; t 'Manchester and Newcastle-upon-Tyne.
The powers of the new parliament were utilized t 4 Dr extending representative institutions.
The pressure at any point of the liquid which is above this level is negative T unless another fluid as, for instance, the air, presses on the upper surface, but it is only the difference of pressures with which we have to do, because two equal pressures on opposite sides of the surface produce no effect.
The principal documents relative to the trial of Collot d'Herbois, Barere and Billaud-Varenne are indicated in Aulard, Recueil des actes du comite de salut public, t.
The Prior A T h e Analytics then are concerned with a formal logic to niytics.
The probable error in neglecting any variation of specific heat is small, and we may calculate L from the values of Lo - (s - s') (To - T), where s - s' is about 0.5 calories.
The problem is identical with that of finding the common conjugate diameters of the ellipsoids T(x, y, I) =const., V(x, y, 1) =const.
The process by which the position of a planet at any time is determined from its elements may now be conceived as follows The epoch of passage through pericentre being given, let t be the interval of time between this epoch and that for which the position of the body is required.
The process of cooling is thus represented by a path which runs vertically downwards till it cuts the 0 Molecular Percentage of Na t S04 Siluer Copper FIG.
The quadratic expression for T is essentially positive, and the same holds with regard to V in virtue of the assumed stability.
The rate at which work is done on a particular axle is measured by the product where T is the torque or turning moment exerted on the axle by the motor or mechanism applied to it for this purpose, and is the angular velocity of the axle in radians per second.
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.
The relation between x and t in any particular case may be illustrated by means of a curve constructed with I as abscissa and x as ordinate.
The relation they suspected to be of the form -yS = KT, where K is a constant analogous to R, and S the surface containing one gramme-molecule, y and T being the surface tension and temperature respectively.
The rivers forming this system are the Maranon from Puerto Limon to Tabatinga on the Brazilian frontier (484 m.), the Japura, Putumayo, Javary, Napo, Tigre, Huallaga, Ucayali, Pachitea, Jurua, Purus, Acre, Curaray and Aguarico all navigable over parts of their courses for steamers of 4 to 8 f t.
The scales are at n, n; they are fastened only at the middle, and are kept down by the brass pieces t, t.
The severity of the forest laws which prevailed during t he Norman period is sufficient evidence of the sporting ardour of William and his successors.
The short tentacles (T) are drawn on one side only.
The simplest form to which the quartic is in general reducible is +6mxix2+x2, involving one parameter m; then Ox = 2m (xi +x2) +2 (1-3m2) x2 ix2; i = 2 (t +3m2); j= '6m (1 - m) 2; t= (1 - 9m 2) (xi - x2) (x21 + x2) x i x 2.
The small eyes are some- T y p h l o p s bra- times covered by transparent shields.
The sound was that of the unvoiced dental stop. The English t, however, is not dental but alveolar, being pronounced, as d also, not by putting the tongue against the teeth but against their sockets.
The sounds of t and d are more dental than in English, though they vary; the voiced spirants are very soft; the voiceless nasals are aspirated, thus is similar to Eng.
The special cable T is now tightened again, and lifts the bottom of the bucket so as both to close it and to close the space between J and K, by allowing J to rise back to its initial place.
The St Lawrence varies only a few feet in the year and always has pellucid bluish-green water, while the Mississippi, whose tributaries begin only a short distance south of the Great Lakes, varies 40 f t.
The stem of the T was originally a mole leading to an island (Pharos) which formed the cross-piece.
The suggested origin of the name Antwerp from Hand-werpen (hand-throwing), because a mythical robber chief indulged in the practice of cutting off his prisoners' hands and throwing them into the Scheldt, appeared to Motley rather farfetched, but it is less reasonable to trace it, as he inclines to do, from an t werf (on the wharf), seeing that the form Andhunerbo existed in the 6th century on the separation of Austrasia and Neustria.
The T eory.ee initial error of Justin was echoed by every subsequent theory.
The term is of less practical importance in t i tle English than in the Scottish system, where it held an important place in the practice of conveyancing, real property having been generally divided into feudal-holding and burgage-holding.
The testis t occupies a median position in the coiled visceral mass.
The tonnage of British steamers amounted to somewhat more than t i% of the total tonnage of steamers entered and cleared.
The total number of auroras in the year is taken as 100, and t denotes the time, in months, that has elapsed since the middle of January.
The two armies met under the walls of Rai (Shaaban 195, May 81 t).
The underwool is T to T2 in.
The United States, nevertheless, insisted that such prohibition was indispensable on the grounds - (t) that pelagic sealing involved the destruction of breeding stock, because it was practically impossible to distinguish between the male and female seal when in the water; (2) that it was unnecessarily wasteful, inasmuch as a large proportion of the seals so killed were lost.
The values of the first ten of Bernoulli's numbers are B1= t, B2= 1, B3 =412, B4 =30, B5 =6 = 6 9 1 B7 = l, B =3 =4 4 fl, IV.
The verniers are attached to arms uu bearing on an enlargement of one trunnion of the telescope, one arm pro j ecting downwards and embracing a projection on the standard t.
The villages of the tribes of the lower Congo are usually surrounded by a palisade; the houses or huts are rectangular and about 7 f t.
The Weight Is Sometimes Equated To The Product Of The Capillary Tension (T) And The Circumference Of The Tube (27Ra), But With Little Justification.
The well-intentioned abolition of the tax on meat also had not the desired result, for by a system of cornering the price of meat rose to more than it In the autumn of 1896 the grand vizier (Amin-es-Sultan) encountered much hostility from some members of the shahs Mi I t riai entourage and various high personages.
The west coast is indented by two deep inlets, (t) the northernmost, the Gulf of Ismid (anc. Gulf of Astacus), penetrating between 40 and 50 m.
The word riding was originally written as thrithing or thriding, but the initial th has been absorbed in the final th or t of the words north, south, east and west, by which it was normally preceded.
The worm and hand-wheel are thrown into and out of gear by means of the clutch t.
Then follows a decree of the emperor (T`ait-sung, a very famous prince), issued in 638, in favour of the new doctrine, and ordering a church to be built in the square of justice and peace (Ining fang) in the capital.
Then let us heat both ice and solution through the infinitesimal temperature range dT to the freezing point T of the solvent, melt the ice by the application of an amount of heat L, which measures its latent heat of fusion, and allow the solvent so formed to enter the solution reversibly through a semi-permeable wall into an engine cylinder, doing an amount of work Pdv.
Then, according to a well-known principle in statics, the normal pressure at the elementary arc do is TdO, T being the mean tension of the band at that elementary arc; consequently the friction on that arc is dF =JTdo.
Then, if possible, B and, C themselves are to be resolved each into rnI factors (counting 1 as a factor), which factors, or multiples of them, shall be not less than t nor greater than 6t; or if B and C contain inconveniently large prime factors, an approximate velocity ratio, found by the method of continued fractions, is to be substituted for B/C as before.
Then, if the outside cylinder is free to move - 2a2 2 X 1 = 0, T T = b2 a2, 7rpa 2 Ub 2+ a 2.
Then, while T is slid along the axis from 0 towards X, P will be drawn after it from R towards C along the tractory.
There is no absolute distinction between the two cloths, but the T cloth is generally lower in quality than the Mexican.
There is, however, considerable evidence in support of the view that Greek va representing the sound arising from Ky, xy, Ty, By was pronounced as sh (s), while representing gy, dy was pronounced in some districts zh (z).4 On an inscription of Halicarnassus, a town which stood in ancient Carian territory, the sound of vv in `AXoKapvaao-Ewv is represented by T, as it is also in the Carian name Panyassis (IIavvfiTcos, geni tive), though the ordinary is also found in the same inscription.
These are the kingdoms of Ma t in (Minaean), of Saba (Sabaean), of Hadramaut (Hadramut) and of Katabania (Katabanu).
These functions, T, S, D, 1, A, are shown numerically in the following extract from an abridged ballistic table, in which the velocity is taken as the argument and proceeds by an increment of 10 f/s; the column for p is the one determined by experiment, and the remaining columns follow by calculation in the manner explained above.
They belonged for the greater part to the Rabi t a, who always stood more or less aloof from the other Arabs, and had a particular grudge against the Modar.
They give the following numerical values The error of the formula for water is less than t mm.
They met with little success, as is Y Y innate distrust of the Germans naturally rendere d the tla n;t Bohemians unfavourable to a creed which reached them from the realm of their western neighbours.
This difference is marked in the phonetic differentiation of the dental and the alveolar t by writing them respectively t and t.
This done, the stops s and t are clamped and adjusted so that when arm r comes in contact with the screw of stop t the telescope will point due north, and when in contact with s, it will point due south, or vice versa.
This equation is found experimentally to be capable of representing the relation between p, v, and T over large ranges of values.
This he does for his own ends, but Peter seeing his opportunity adroitly makes Faustus go to Antioch, and in the person of Simon make a public 2 KaTh rtu' T?
This inner gate conducted into the base court (T), round which were placed the barns, stables, cow-sheds, &c. On the eastern side stood the dormitory of the lay brothers, fratres conversi (G), detached from the cloister, with cellars and storehouses below.
This is so when the axis of revolution is a principal axis, say Oz; when S21=0, t 2 =0, =o, o=0.
This leads to a determinantal equation in X whose 2n roots are either real and negative, or complex with negative real parts, on the present hypothesis that the functions T, V, F are all essentially positive.
This massive swelling is cut into, between the Ektagh Altai and the eastern T`ien-shan, by the relative depression of Tarbagatai and Dzungaria, 1500 to 3000 ft.
This most fundamental point was finally settled by a more delicate test, devised by Lord Kelvin, and carried out in conjunction with Joule (1854), which showed that the fundamental assumption W =H in isothermal expansion was very nearly true for permanent gases, and that F'(t) must therefore vary very nearly as J/T.
This nether his -ld was known as the Duat (Dat, Ti), and through it passed in t sun on his journey during the hours of night; here too, as nim sy thought, dwelt the dead and their king Osiris.
This not only verifies that the second law of thermodynamics is obeyed, but enables us to identify T with the absolute thermodynamical temperature.
This note is f sharp, and the interval t is termed a sharp.
This outer court also contains the guest-chambers (P), the stables and lodgings of the lay brothers (N), the barns and granaries (Q), the dovecot (H) and the bakehouse (T).
This page gives an overview of all articles in the 1911 Brittanica which are alphabetized under T to Tar.
This scheme was the work of Blasius Merrem, who, in a communication to the Academy of Sciences of Berlin on the t oth December 1812, which was published in its Abhandlungen for the following year (pp. 237-259), set forth a Tentamen systematis naturalis avium, no less modestly entitled than modestly executed.
This version is on the whole a fai t hful reproduction of G 1.
This was a period of military tribunals, dragooning, wholesale T Bach confiscation 'and all manner of brutalities.'
This was the KaXinrTpa, or veil called Kpr t &Eµvov in Homer.
Though introduced with success from Santo Domingo about the middle of the T 8th century, the sugar industry practically dates from 1796, when Etienne Bore first succeeded in crystallizing and clarifying the syrup. Steam motive power was first introduced on the plantations in 1822.
Though the T hx, thoracic segments bear the wings, no trace of these appendages exists till the close of the embryonic life, 8 `' nor even, in many cases, till much later.
Thus from P+Q - R+S=T we deduce P+(Q - R+S)=P+(T - P).
Thus if T is expressed as a quadratic function of U, V, W, P, Q, R, the components of momentum corresponding are dT dT dT (I) = dU + x2=dV, x3 =dW, dT dT dT Yi dp' dQ' y3=dR; but when it is expressed as a quadratic function of xi, 'x2, x3, yi, Y2, Y3, U = d, V= dx, ' w= ax dT Q_ dT dT dy 1 dy2 dy The second system of expression was chosen by Clebsch and adopted by Halphen in his Fonctions elliptiques; and thence the dynamical equations follow X = dt x2 dy +x3 d Y = ..., Z ..., (3) = dt1 -y2?y - '2dx3+x3 ' M =..
Thus the rational number one, which we will denote by ' r, is not the cardinal number I; for t r is the relation I/I as defined above, and is thus a relation holding between certain pairs of cardinals.
Thus the Roman letters E and F are liable to be confused in capital script, but not in cursive (e, f), C, G, in capitals, c, e in the cursive writing called Caroline minuscule, c, t, in the angular cursive of the 13th century and later.
To him it was Revival left to perfect that work of restoration begun by Baroti t th and amplified by Revai.
To illustrate the main features of the calculation, we may suppose that the surface is subject to a simple-harmonic cycle of temperature variation, so that the temperature at any time t is given by an equation of the form 0 - 0 0 = Asin 27rnt= A sin 27rt/T, (5) where 0 0 is the mean temperature of the surface, A the amplitude of the cycle, n the frequency, and T the period.
To take the simple case of the " wall " or flat plate considered by Fourier for the definition of thermal conductivity, suppose that a quantity of heat Q passes in the time T through an area A of a plate of conductivity k and thickness x, the sides of which are constantly maintained at temperatures B' and 8".
To the former belong the theorems (t), (2), and (3), and to the latter especially the theorem (4), and also, probably, his solution of the two practical problems. We infer, then, [t] that Thales must have known the theorem that the sum of the three angles of a triangle are equal to two right angles.
To the more strictly exegetical lectures the names E nyncmtc, 4-07-Amara, i nynTuca, O o€t, were sometimes applied.
To this character he has n t the least pretension.
To this period belong five Masses, a dozen operas, over thirty clavier-sonatas, over forty quartets, over a hundred orchestral symphonies and overtures, a Stabat Mater, a set of interludes for the service of the Seven Words, an Oratorio Tobias written for the Tonkiinstler-Societe t of Vienna, and a vast number of concertos, divertimenti and smaller pieces, among which were no less than 175 for Prince Nicholas' favourite instrument, the baryton.
Two other screws, o, p, the heads of which are not graduated, give motions to the whole micrometer box through t 1 mm.
Under the Isolation Hospitals Acts 1893 and 1901, a county council may provide for the establishment of isolation hospitals for the reception of patients suffering from infectious diseases on Hospi t a l s the application of any local authority within the county, or on the report of the medical officer of the county that hospital accommodation is necessary and has not been provided, or it may take over hospitals already provided by a local authority.
Unless the initial conditions be adjusted so as to make A = o exactly, x will ultimately increase indefinitely with t.
Until 1869 all buildings within the city proper were of wood or rush, but even then it possessed several timber palaces of considerable size, the largest being 120 f t.
V?'o?took?s,l eSk ham o h `u Br1 n NewC l 4 ',fteg, r,a, t Sha?
Vaughan T hompson,Zoological Researches (Cork,1830); memoir v., "Polyzoa, a new animal discovered as an inhabitant of some Zoophytes."
Viewed as a whole, `Ali Riza's forces, scattered as they inevitably were through the need of holding territory, were reasonably well distributed, in that, though the Turks were in the ensemble inferior in the ratio of I to 21, their handicap on the decisive battlefield reduced itself to the ratio of t to about II-.
We also have pu t =p o u t /(I +dy/dx).
We first determine the time t in seconds required for the velocity of a shot, d inches in diameter and weighing w lb, to fall from any initial velocity V(f/s) to any final velocity v(f/s).
We have, therefore, to consider the conditions under which n2172 (V a +5) T(p - U)g cannot be made negative.
We may equally express the result as 4,(al)Y'(a2)...0 (am) =0, (a 8 -fa t) =0.
We shall first investigate the velocity with which a disturbance travels along a string of mass m per unit length when it is stretched with a constant tension T, the same at all points.
We shall then have E 1 - Mixoi S f El E - 4 S 2 Adding these expressions, and dividing the second member by S, we obtain for the tension of the surface of contact of the two liquids T,.
We thus express P=Q in the form of a continued fraction, k+ + I, which is usually written,for conciseness, k+ s + t + &c., s t+&c.
We thus obtain the simple equation k'(de'/dx') - k"(de"/dx") =c (area between curves)/(T - T'), (4) by means of which the average value of the diffusivity klc can be found for any convenient interval of time, at different seasons of the year, in different states of the soil.
We Will Assume That When, As In Most Cases, Viscosity Maybe Neglected, The Mass (M) Of A Drop Depends Only Upon The Density (V), The Capillary Tension (T), The Acceleration Of Gravity (G), And The Linear Dimension Of The Tube (A).
When no external force acts, the case which we shall consider, there are three integrals of the equations of motion (i.) T =constant, x 2 +x 2 +x 2 =F 2, a constant, (iii.) x1y1 +x2y2+x3y3 =n = GF, a constant; and the dynamical equations in (3) express the fact that x, x, xs.
When the force acts on a body free to turn about a fixed axis only, it is convenient to express the work done by the transformed product TO, where T is the average turning moment or torque acting to produce the displacement 0 radians.
When the solutions may be taken as effectively dilute, so that the gas laws apply to the osmotic pressure, this relation reduces to E _ nrRT to c1 ey gE c2 where n is the number of ions given by one molecule of the salt, r the transport ratio of the anion, R the gas constant, T the absolute temperature, y the total valency of the anions obtained from one molecule, and c i and c 2 the concentrations of the two solutions.
When the surface is curved, the effect of the surface-tension is to make the pressure on the concave side exceed the pressure on the convex side by T (1 /R I i /R 2), where T is the intensity of the surface-tension and R 1, R2 are the radii of curvature of any two sections normal to the surface and to each other.
When, in any problem, the values of u, v, w, p, q, r have been determined as functions of t, it still remains to connect the moving axes with some fixed frame of reference.
Where the urban council are the council of a borough, their accounts as urban council are made up and audited in the same t.
While admitting, therefore, that there are several facts in favour of the theory of an African origin of the Bovidae, final judgment Notation to E to t from from or even f 8va balsa.
While the governor T rkish was appointed by the feudal lord, the finance minister goUvernors continued to be appointed by the caliph.
Whilst each unit of the lateral eye of Limulus has arhabdom of ten t pieces See fig.
With too% currentefficiency and a potential difference of 0.3 volt between the electrodes, t lb of copper should require about o-154 electrical horse-power hours as the amount of energy to be expended in the tank for its production.
Wohler's and Bauschinger's experiments give values of t, u, and s, for some materials.
Wolff's general logic, " the best," said Kant, " that was thought to lie open to an interpretation in conformity with the spirit of his logic, in the sense that the form and the content in knowledge are not merely distinguishable func- Form of Lions within an organic whole, but either separable, or Matter t.