A -n- (64C1 - 20C2+C4) ' R C 1+9 (C 1 - C2) ?1(C l - C4).
A ?- *(1 5 C 16C 2+ C 3) C1 +$(C i - C2) -lO(C 2 - C3) (v) m a multiple of 12.
A and B modified cats i is seen when the from Hincks; C modified from Forbes's Brit.
A and B, mycelium (m), the mix t ure over the affe c ted with haustoria (h).
A further peculiarity of the use of C in Latin is in the abbreviation for the district Subura in Roma and its adjective Suburanus, which appears as SVC. Here C no doubt represents G, but there is no interchange between g and b in Latin.
A good working mixture of these materials may be taken as being loo parts by weight of lime with 68 parts c arbide.
A group (C) may be formed of mercury, silver, gold and platinum, which are not touched by either aqueous acid in any circumstances.
A higher temperature decomposes this body into carbon dioxide and itaconic acid, C 5 H 6 0 4, which, again, by the expulsion of a molecule of water, yields citraconic anhydride, C 5 H 4 0 3.
A nitrosooctane (CH 3) 2 C(NO) [CH 2] 2 CH(CH 3) 2, has been obtained by 0.
A relative stream line, along which 1/,' = Uc, is the quartic curve y-c=?![2a(r-x)], x = 4a2y2-(y g)4, r- 4a2y2 +(y c) 4, 7) 4 a (y-c) 4a(y and in the absolute space curve given by 1', dy= (y- c)2, x= 2ac_ 2a log (y -c) (8) 2ay y - c 34.
A remarkable &c, expedition by Baron Toll in 1892 through the regions watered by the Lena, resulted in the collection of material which Afghan- will greatly help to elucidate some of the problems which beset the geological history of the world, proving inter alia the primeval existence of a boreal zone of the Jurassic sea round the North Pole.
A rotation about the axis of a figure of revolution does not set the medium in motion, so that C 1 is.
A royal writ of the 16th century cited by Covarruvias (c. xxxv.) prohibits execution of the sentence of a Spanish court Christian pending an appeal to the pope.
A special association is found, both in the Bible and elsewhere, between the angels and the heavenly bodies 18, and the elements or elemental forces, fire, water, &c 19.
A string is fixed at C on the top of a hollow box, and C" A D B um FIG.
A thiophenol, C 6 H 5 SH, is known, and is prepared by the action of phosphorus pentasulphide on phenol, or by distilling a mixture of sodium benzene sulphonate and potassium sulphydrate.
A train from a will contain some wagons for B,, some for C and some for D, as will also the trains from a, b, c and d.
A, Attractive surface of lid; B, conducting; C, glandular; and D, detentive surface; magnified.
A, branch bearing male cones, reduced; B, single male cone, enlarged; C, single stamen, enlarged.
A, colony of but grow in all planes Lar;B and C, young and adult medusae.
A, Dorsal view showing the nervous system and digestive system; a, mouth; b, pharynx; c, d, e, gut; E, post-genital union of two limbs of gut; f, excretory pore; g, vaginal pore; h, j, k, brain and nerves; 1, dorsal nerves; m, ventral nerves; n, adoral sucker; o, posterior sucker; p, hooks on posterior sucker; r, vitello-intestinal duct.
A, Fasciola hepatica, from the ventral surface (X 2); the alimentary and nervous systems only shown on the left side of the figure, the excretory only on the right; a, right main branch of the intestine; c, a diverticulum; g, lateral ganglion; n, lateral nerve; o, mouth; p, pharynx; s, ventral sucker; cs, cirrus sac; d, left anterior dorsal excretory vessel; m, main vessel; v, left anterior ventral trunk; x, excretory pore.
A, Larva which has just left brood-pouch; B, longitudinal section through a somewhat later stage; C, the fully formed embryo just before fixing - the neo-embryo of Beecher.
A, Youngest stage with no mesosomatic somites; B and C, stages with two mesosomatic somites between the prosomatic and telsonic carapaces; D, adult condition, still with only two free mesosomatic somites.
About 15% of a volatile oil is obtained by distilling cubebs with water; after rectification with water, or on keeping, this deposits rhombic crystals of camphor of cubebs, C 15 H 26 O; cubebene, the liquid portion, has the formula C15HV4.
About six ironclads and twenty smaller vessels of the royal navy are stationed in colonial waters; the vessels of the colonial marine number about twenty-four, and undertake police supervision, prevention of slave trading, &c.
Administration, Revenue, f&c. - For administrative purposes the country is divided into districts (Bezirkscimter), and stations (Stationsbezirke).
Again b'c" and CG have each 33 beats per second, yet the latter interval is practically smooth and consonant.
Again, anode reactions, such as are observed in the electrolysis of the fatty acids, may be utilized, as, for example, when the radical CH3C02 - deposited at the anode in the electrolysis of acetic acid - is dissociated, two of the groups react to give one molecule of ethane, C 2 H 6, and two of carbon dioxide.
Against Bulgaria the Yugoslav delegation claimed considerable frontier rectifications - (a) the Strumnica salient, which threatened the Vardar railway from the east, (b) the district of Kochana (Tocana) and the Bregalnitsa (Bregalnica), (c) a strip of territory running parallel with the old Serbo-Bulgarian frontier the whole way from Zajecar to Kyustendil, and (d) the town of Vidin on the Danube and the salient between it and the Timok.
Alcoholic potash decomposes it into piperidine, C5H,1N, and piperic acid, C 12 H 10 O 4.
All mixtures whose temperature lies above the line ACB are wholly liquid, hence this line is often called the "liquidus "; all mixtures at temperatures below that of the horizontal line through C are wholly solid, hence this line is sometimes called the " solidus," but in more complex cases the solidus is often curved.
All the latter, therefore, which are between the old wood a and the blossoms c in fig.
All the mixtures whose composition lies between that of A and C deposit crystals of pure.
Also mn/mf = hk/kf 'or' mn-W (l-x)/l, which is the reaction at A due to the load at C, and is the shear at any point of AC. Similarly, po is the reaction at B and shear at any point of CB.
Among the incidental operations are (a) the valuation of the bullion by weighing and assaying it; (b) " rating" the bullion, or calculating the amount of copper to be added to make up the standard alloy; (c) recovering the values from ground-up crucibles, ashes and floor sweepings (the Mint " sweep "); (d) assaying the melted bars; (e) " pyxing " the finished coin or selecting specimens to be weighed and assayed; (f) " telling " or counting the coin.
Among these are flour mills, factories for the cutting of wire nails and making hollow ware from sheet iron, and factories for the manufacture of umbrellas, boots and shoes, &c.
Amongst endothermic compounds may be noted hydriodic acid, HI, acetylene, C 2 H 2, nitrous oxide, N 2 O, nitric oxide, NO, azoimide, N 3 H, nitrogen trichloride, NC1 3.
Amongst the ablest and most zealous students of the history of philosophy are Bernhard Alexander, under whose editorship, aided by Joseph Banoczi, a series of the works of the world's great thinkers has appeared; Andrew Domanovszky, author of an elaborate History of Philosophy; Julius Gyomlai, translator of Plato; Eugen Peterfy, likewise translator of philosophical works, &c.
Amongst the field experiments there is, perhaps, not one of more universal interest than that in which wheat was grown for fifty-seven years in succession, (a) without manure, (b) with farmyard manure and (c) with various artificial manures.
An Anomalistic month is the time in which the moon passes from perigee to perigee, &c.
An elongated body like a ship has c 2 -c 1 positive, and the couple N tends to disturb the axial movement and makes it unstable, so that a steamer requires to be steered by constant attention at the helm.
An ethylenic or double carbon union in the aliphatic hydrocarbons has, apparently, the same effect on the boiling-point as two hydrogen atoms, since the compounds C 0 H 2 „ +2 and CoH2n boil at about the same temperature.
An important fact in the physical geography of the archipelago is that Java, Bali, Sumatra and Borneo, and the lesser islands between them 1 For more detailed information respecting the several islands and groups of the archipelago, see the separate articles Borneo; Java; Philippine Islands; Sumatra, &C.
An oblate flattened body, like a disk or plate, has c 2 -c 1 negative, so that the medium steers the body axially; this may be verified by a plate dropped in water, and a leaf or disk or rocket-stick or piece of paper falling in air.
An Orthodox bishop, vested for the holy liturgy, wears over his cassock - (i) the rnxcipcov, or alb (q.v.); the E7nrpay,Acov, or stole (q.v.); (3) the a narrow stuff girdle clasped behind, which holds together the two vestments above named; (4) the E7 n, uaviexa, liturgical cuffs, corresponding, possibly, to the pontifical gloves of the West;' (5) the i 7rtyovarcov, a stiff lozengeshaped piece of stuff hanging at the right side by a piece of riband from the girdle or attached to the o-AKKos, the equivalent of the Western maniple (q.v.); (6) the like the Western dalmatic (q.v.), worn instead of the 4acv6Acov, or chasuble; (7) the c?µocp6pcov, the equivalent of the Western pallium (q.v.).
As a numeral C denotes 100.
As an application of moving axes, consider the motion of liquid filling the ellipsoidal case 2 y 2 z2 Ti + b1 +- 2 = I; (1) and first suppose the liquid be frozen, and the ellipsoid l3 (4) (I) (6) (9) (I o) (II) (12) (14) = 2 U ¢ 2, (15) rotating about the centre with components of angular velocity, 7 7, f'; then u= - y i +z'i, v = w = -x7 7 +y (2) Now suppose the liquid to be melted, and additional components of angular velocity S21, 522, S23 communicated to the ellipsoidal case; the additional velocity communicated to the liquid will be due to a velocity-function 2224_ - S2 b c 6 a 5 x b2xy, as may be verified by considering one term at a time.
As an extreme contrast to this After Westwood, c am odeif orm type, we take the maggot Modern Classification.
As the crusaders advanced to Jerusalem, says Raymund of Agiles (c. xxxiii.), it was their rule that the first-corner had the right to each castle or town, provided that he hoisted his standard and planted a garrison there.
As the district was full of traders, Subura may very well be an imported word, but the form with C must either go back to a period before the disappearance of g before v or must come from some other Italic dialect.
As the loads move over the girder, the points C, D, E describe the parabolas M1, M2, M3 i the middle ordinates of which are 4W 1 1, 4W 2 1, and 4W3l.
At both types of crossing, check rails (c) must be provided to guide the wheel-flanges, and if these are not accurately placed the safety of the trains will be endangered.
At Gresham College, Basinghall Street, City, founded in 1 597 by Sir Thomas Gresham, and moved to its present site in 1843, lectures are given in the principal branches of science, law, divinity, medicine, &c.
At higher densities it is probable that more complex aggregates would be formed, so that as the effect of the collisions became more important c would cease to be a function of the temperature only; experiment, indeed, shows this to be the case.
At N the displacement is away from C and there is extension.
At Rome he gained the friendship of Baron (Christian C. J.) von Bunsen, which had a most important influence on his life.
At the last meeting of the Lambeth Conference (1907) some overtures, on certain conditions, were made for (a) joint consecration of bishops, (b) joint ordination of ministers, (c) interchange of pulpits.
At the nodes A, B, C, D, E there is no displacement, but there are maximum volume and pressure changes.
At the present time the Arabic alphabet is used on the mainland, but Indian alphabets in Java, Sumatra, &c.
B, A section through the same; a, the invaginated proboscis; b, proboscis sheath; c, beginning of the neck; d, lemniscus.
B, C, D, Stages showing the turning forward of the second or mantle segment.
B, Section through compound eye (after Miall and Denny); C, organs of smell in cockchafer; (after Kraepelin); D, a, b, sensory pits on cercopods of golden-eye fly; c, sensory pit on palp of stone-fly (after Packard); E, sensory hair (after Miall and Denny); F, ear of long-horned grasshopper; a, Front shin showing outer opening and air-tube; b, section (after Graber); G, ear of locust from within (after Graber).
Before that period they varied at different times, according to representations given of them in grants of arms, &c.
Berthelot, and many other chemists, from whose researches it results that glycerin is a trihydric alcohol indicated by the formula C 3 H 5 (OH) 3j the natural fats and oils, and the glycerides generally, being substances of the nature of compound esters formed from glycerin by the replacement of the hydrogen of the OH groups by the radicals of certain acids, called for that reason "fatty acids."
Besides the works mentioned, Liddon published several volumes of Sermons, a volume of Lent lectures entitled Some Elements of Religion (1870), and a collection of Essays and Addresses on such themes as Buddhism, Dante, &c.
Between A and B, A and C, and A and D, there may be a string of stations, p, q, r, s, &c., all receiving goods from a, b, c and d, and it would manifestly be inconvenient and wasteful of time and trouble if the trains serving those intermediate stations were made up with, say, six wagons from a to p next the engine, five from b to p at the middle, and four from c to p near the end.
Bowdich (London, 1820); the account of Dr Gouldsbury's journey in the Blue Book C 3065 (1881); also under the country heading below.
Bromine water in dilute aqueous solution gives a white precipitate of tribromophenol-bromide C 6 H 2 Br 3.
But if the load is distributed to the bracing intersections by rail and cross girders, then the shear at C' will be greatest when the load extends to N, and will have the values wXADN and -wXNEB.
But the bundant steam given off by the volcano seems to have con- c ensed into copious rain, which, mixing with the light volcanic V
But the charge is Q = 21rra, and therefore the capacity of the thin wire is given by C =1/2 log e llr (2).
But the idea of liberation continued to grow, and about 1780 the Society of Friends (`ETaepia Twv 4 c uK'v) was founded at Bucharest by the fervent patriot and poet, Constantinos Rhigas (q.v.).
But W' these are the average A 3 ' 3 C 3 13 B loads per ft.
By drawing Ac and Ad parallel to BC and BD, so as to meet the plane through CD in c and d, and producing QP and RS to meet Ac and Ad in q and r, we see that the area of Pqrs is (x/h - x 2 /h 2) X area of cCDd; this also is a quadratic function of x.
By Eusebius and Photius he is called Titus Flavius Clemens, and " c the Alexandrian " is added to his name.
By fusing two nuclei we obtain the formula of naphthalene, C 1 oH 8; by fusing three, the hydrocarbons anthracene and phenanthrene, C14H10; by fusing four, chrysene, C18H12, and possibly pyrene, C16H1n; by fusing five, picene, C22 H 14.
By his own investigations and those of Sir Edward Frankland it was proved that the radical methyl existed in acetic acid; and by the electrolysis of sodium acetate, Kolbe concluded that he had isolated this radical; in this, however, he was wrong, for he really obtained ethane, C 2 H 6, and not methyl, CH 3.
By means of the three-way switch C the battery current may be sent either into the primary of E, for the purpose of calibrating the galvanometer, or into the magnetizing coil of the ring under test.
By passing acrolein vapour into ammonia, acrolein ammonia, C 6 H 9 NO, is obtained.
By reckoning in this manner, there is an interruption in the regular succession of the numbers; and in the years preceding the era, the leap years, instead of falling on the fourth, eighth, twelfth, &c., fall, or ought to fall, on the first, fifth, ninth, &c.
By separation of real and imaginary parts, C =M cos 27rv 2 +N sin 27rv2 1 S =M sin 27rv 2 - N cos 27rv2 where 35+357.9 N _ 7rv 3 7r 3 v 7 + 1.3 1.3.5.7 1.3.5.7.9.11 These series are convergent for all values of v, but are practically useful only when v is small .
By the direct action of hydroxylamine on a methyl alcohol solution of mesityl oxide in the presence of sodium methylate a hydr oxylamino - ketone, diacetone hydroxylamine, (CH 3) 2 C(Nhoh) CH20OCH3,is formed.
C - a 2 - 2 b2 +A, = and then as above in § 31, with a= c ch a, b=c sh a, a =-1 (a 2 +X) =c ch al, b1= c sh a (13) the ratio in (II) agrees with § 31 (6).
C - Under the head of administration would be classed the chief director of the arsenal, officials military and civil, non-commissioned officers and military artificers, civilian foremen, workmen and labourers, with the clerks and writers necessary for the office work of the establishments.
C A W W 3 j ?..a... ? ?-- -- - n--- --y ?
C is a " compensating coil " consisting of a few turns of wire through which the magnetizing current passes; it serves to neutralize the effect produced upon the magnetometer by the magnetizing coil, and its distance from the magnetometer is so adjusted that when the circuit is closed, no ferromagnetic metal being inside the magnetizing coil, the ti, magnetometer needle undergoes no deflection.
C is a constant, equal to the coefficient of viscosity in Helmholtz's theory, but less simple in Kirchhoff's theory.
C IX It is important to note that the series of lamellae of the lung-book and the gill-book ?_.
C or cz is pronounced as English ts; cs as English ch; ds as English j; zs as French j; gy as dy.
C, A young redia, the digestive tract shaded.
C, Diblastula of an Opisthobranch (Polycera) with elongated blastopore oi.
C, Doris (Actinocyclus) tuberculatus (Cuv.), seen from the pedal surface.
C, invaginated head of Cysticercus cellulosae, showing the bent neck and receptacle r; X 30.
C, Nuclear thread segment ing.
C, portion of a proboscis showing the two forms of hooks; highly magnified.
C, Section through the fully formed eye.
C, Side view of the trochosphere with commencing formation of the foot.
C, Small portion of the nephridium of Glycera siphonostoma, showing the canal cut through, and the solenocytes on the outer surface.
C, The same, fully everted.
C, Transverse section of the The eggs of Limulus are fertilized in the sea after they have been laid.
Chaplains are also appointed under the foreign office to embassies, legations, consulates, &c.
Climate (C), that of Fort Chipewyan, having a mean winter temperature of.
Coarser straw hats are made at other places, as well as hammocks, baskets, &c.
Colonel Stevani with four native battalions to relieve, cnt, C Kassala, then hard pressed by the Mahdists.
Communicantes et memoriam, &c.
Comparing the expressions for C, S in terms of M, N, and in terms of G, H, we find that G = z (cos u+sin u)-M, H = z (cos u-sin u) +N.
Comprises the midges, gnats, crane-flies, gad-flies, &c.
Consult the Boletin above mentioned, publications of the Estacion Central Agronomica, and current statistical serial reports of the treasury department (Hacienda) on natural resources, live-stock interests, the sugar industry (annual), &c.
Conversely, trains arriving at A from B, C and D must be broken up. and remade in order to distribute their wagons to the different, dock branches.
Curve B shows the typical distribution of temperature in an enclosed sea, in this case the Sulu Basin of the Malay Sea, where from the level of the barrier to the bottom the temperature remains uniform or homothermic. Curve C shows a typical summer condition in the polar seas, where layers of sea-water at different temperatures are superimposed, the arrangement from the surface to 200 fathoms is termed FIG.
Dibasic acids of the paraffin series of hydrocarbons have the general formula C n H 2 (000H) 2 "; malonic and succinic acids are important members.
District (C) is the fur-trader's ?
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 rule of the nobles and the mixed rule of nobles and popolani the commune of Siena was enlarged by fortunate acquisitions of neighbouring lands and by the submission of feudal lords, such as the Scialenghi, Aldobrandeschi, Pannocchieschi, Visconti di Campiglia, &c.
Ea c h cordylus is a tentacle-like structure with an endodermal axis containing an axial cavity which may be continuous with the ring-canal, or may be partially occluded.
Efforts have been made in the same direction in Egypt, West Africa, &c.
Eight of them, it is true, fell into disuse; but the medieval Ionian and Hypo-ionian modes are absolutely identical with the modern natural scale of C; and the Aeolian and Hypoaeolian modes differ from our minor scale, not in constitution, but in treatment only.
Engler's Versuch einer Entwickelungsgeschichte der Pflanzenwelt (Leipzig, 1879-1882), we should have in Siberia (a) the arctic region; (b) the sub-arctic or coniferous region - north Siberian province; (c) the Central-Asian domain - Altai and Daurian mountainous regions; and (d) the east Chinese, intruding into the basin of the Amur.
English also adopted the value of s for c in the 13th century before e, i and y.
Every time a carpenter saws fresh timber with a saw recently put through wood attacked with dry-rot, he risks infecting it with the Fungus; and similarly in pruning, in propagating by cuttings, &c.
F, founder-polyp; 1, 2, 3, 4, 5, 6, succession of polyps budded from the founder; a, b, c, second series of polyps budded from the founder; a 3, b 3, series budded from 3.
F, the founder-polyp; I, 2, 3, 4, the succession of polyps budded from the founder-polyp; a', b', c', the succession of polyps budded from 1; a 2, 2 polyps budded from 2; a 3, polyp budded from 3.
Finally (c), in the so-called " post-exilic " period, religion and life were reorganized under the influence of a new spirit; relations with Samaria were broken off, and Judaism took its definite character, perhaps about the middle or close of the 5th century.
For example, ethylene, C2H4 j is formed with absorption of 16200 cal., acetylene, C 2 H 2, with absorption of 59100 cal., and liquid benzene, C 6 H 6, with absorption of 9100 cal.
For figures of more than four sides this method is not usually convenient, except for such special cases as that of a regular polygon, which can be divided into triangles C by radii drawn from its centre.
For fuller discussion reference should be made to Geometry and Trigonometry, as well as to the articles dealing with particular figures, such as Triangle, Circle, &C.
For if C l and C2 are the capacities and Q i and Q2 are the charges after contact, then Qi/CI and Q2/C2 are the potential differences of the coatings and must be equal.
For native justice there are courts in the districts and regencies; residents act as police judges; provincial councils have judicial powers, and there are councils of priests with powers in matrimonial disputes, questions of succession, &c.
For superior education there is (1) the university of Constantinople, with its four faculties of letters, science, law and medicine; and (2) special schools, including (a) the normal school for training teachers, (b) the civil imperial school, (c) the school of the fine arts and (d) the imperial schools of medicine.
For the translations, see the various editions of Origen, Eusebius, &c.
Formerly this coast region furnished large quantities of Brazil-wood (Caesalpinia echinata), and the river valleys have long been the principal source of Brazil's best cabinet-wood - rosewood (Dalbergia nigra), jacaranda (Machaeriumfirmum,Benth.),vinhatico (Plathymenia foliosa, Benth.), peroba (Aspidosperma peroba), cedro, &c. The exotic mangabeira (mango) is found everywhere along the coast, together with the bamboo, orange, lemon, banana, cashew, &c.
From (ac) 2 (bd) 2 (ad)(bc) we obtain (bd) 2 (bc) cyd x +(ac) 2 (ad) c xdx - (bd) 2 (ad)axb x - (ac)2(bc)axbx =4(bd) 2 (bc)c 2.
From A Merely Formal Point Of View, We Have In The Barycentric Calculus A Set Of " Special Symbols Of Quantity " Or " Extraordinaries " A, B, C, &C., Which Combine With Each Other By Means Of Operations And Which Obey The Ordinary Rules, And With Ordinary Algebraic Quantities By Operations X And =, Also According To The Ordinary Rules, Except That Division By An Extraordinary Is Not Used.
From B the curve of equilibrium (BD) between rhombic and liquid sulphur proceeds; and from C (along CE) the curve of equilibrium between liquid sulphur and sulphur vapour.
From it are made (a) confectio sulphuris; (b) unguentum sulphuris; (c) sulphur praecipitatum, milk of sulphur (U.S.P.) which has a sub-preparation trochiscus sulphuris each lozenge containing 5 grs.
From some known examples, C varies from 1500 to 1800 for iron braced parallel or bowstring girders, and from 1200 to 1500 for similar girders of steel.
From this form the transition is simple to the rounded C, which is generally found in the same localities as the pointed form, but is more widely spread, occurring in Arcadia and on Chalcidian vases of the 6th century B.e., in Rhodes and Megara with their colonies in Sicily.
Fungus-galls on leaves and stems are exemplified by the pocket-plums caused by the Exoasceae, the black blistering swellings of Ustilago Maydis, the yellow swellings on nettles due to Aecidium, &c.
Further references will be found appended to the special articles on the orders (Aptera, Coleoptera, &C).
Further we find x=aX+a'Y+a"Z, y=bX z= cX+c'Y+ c"Z, and the problem is to express the nine coefficients in terms of three independent quantities.
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).
Gerhardt found that reactions could be best followed if one assumed the molecular weight of an element or compound to be that weight which occupied the same volume as two unit weights of hydrogen, and this assumption led him to double the equivalents accepted by Gmelin, making H= 1, 0 =16, and C = 12, thereby agreeing with Berzelius, and also to halve the values given by Berzelius to many metals.
H C corresponding to paroxazine (para-oxazine).
He advocated (a) alliances with Argos, Thessaly and Macedon, (b) ascendancy in the Aegean (Naxos and Delos), (c) control of the Hellespontine route (Sigeum and the Chersonese), (d) control of the Strymon valley (Mt Pangaeus and the Strymon).
He dealt with (a) human life as explained by the relative nature of Man and God, (b) the Divine nature and the existence of God, and, (c) the great Logos doctrine as the explanation of the relation between God and the material universe.
He may lease the settled land, or any part of it, for any time not exceeding (a) in the case of a building lease, 99 years; (b) in the case of a mining lease, 60 years, (c) in the case of any other lease, 21 years.
He was the author of The Transvaal from Within; Jock of the Bushveld, &c.
Hence at A the trucks from a, b, c and d must not only be sorted according as they have to travel along A B, A C, or A D, but also must be marshalled into trains in the order of the stations along those lines.
Hence the density v is given by 47rabc (x2/a4+y2/b4-I-z2/c4), and the potential at the centre of the ellipsoid, and therefore its potential as a whole is given by the expression, adS Q dS V f r 47rabc r' (x2/a4-I-y2/b4+z2/c4) Accordingly the capacity C of the ellipsoid is given by the equation 1 I J dS C 47rabc Y (x 2 +y 2 + z2) V (x2/a4+y2/b4+z2/c4) (5) It has been shown by Professor Chrystal that the above integral may also be presented in the form,' foo C 2 J o J { (a2 + X) (b +X) (c 2 + X) } (6).
Hence the moment of the load on Am at C is wy0m, and the moment of a uniform load over any portion of the girder is w X the area of the influence curve Ip' G' E ' under that portion.
Hence the note produced with any given circle of holes rises in pitch as the disk revolves more rapidly; and if, the revolution of the disk being kept as steady as possible, the tube be passed rapidly across the circles of the first series, a series of notes is heard, which, if the lowest be denoted by C, form the sequence C, C1, El, G1, C2, &c. In like manner, the first circle in which we have two sets of holes dividing the circumference, the one into say 8 parts, and the other into Io,.
Hence the resistance of the insulator can be ascertained, since it is expressed in ohms by the ratio of the voltage of the battery in volts to the current through the C C galvanometer in amperes.
Hence the total cost of that part of the bridge which varies with the span adopted is C = (n-i)P-FnaP = LP// - P +Lal.
Henry started with methyl iodide, the formula of which we write in the form CI a H b H c H d.
Here compounds of divalent lead have not yet been obtained; by acting with zinc ethide on lead chloride, lead tetraethide, Pb(C 2 IH Q) 4, is obtained, with the separation of metallic lead.
Here is treated the history of descriptive inorganic chemistry; reference should be made to the articles on the separate elements for an account of their preparation, properties, &c.
Here it is sufficient to say that the French standard is a' =435 with c" practically 522, and that in England the pitch is somewhat higher.
Here we shall only discuss the structure of these compounds in the light of the modern benzene theories; reference should be made to the articles Naphthalene, Anthracene and Phenanthrene for syntheses, decompositions, &c.
Here were found the famous black obelisk of Shalmaneser, now in the British Museum, in the inscription on which the tribute of Jehu, son of Omri, is mentioned, the great winged bulls, and also a fine series of slabs representing the battles and sieges of Tiglath-pileser; (c) the South-West palace, in the S.W.
His coins of 270 struck at Alexandria bear the legend v(ir) c(onsularis) R(omanorum) im(perator) d(ux) R(omanorum) and display his head beside that of Aurelian, but the latter alone is styled Augustus.
His general formula for getting at the number of units in any sensation is S = C log R, where s stands for the sensation, R for the stimulus numerically estimated, and c for a constant that must be separately determined by experiment in each particular order of sensibility.
His last choral composition which can be dated with any certainty was the Mass in C minor, written in 1802 for the name-day of Princess Esterhazy.
His most important works were the Missa hispanica, which he exchanged for his diploma at Stockholm, a Mass in D minor, a Lauda Sion, a set of graduals, forty-two of which are reprinted in Diabelli's Ecclesiasticon, three symphonies (1785), and a string quintet in C major which has been erroneously attributed to Joseph Haydn.
His prince, abating those points which are purely Italian or strongly tinctured with the author's personal peculiarities, prefigured the monarchs of the 16th and 17th centuries, the monarchs whose motto was L'e'tat c' est moil His doctrine of a national militia foreshadowed the system which has given strength in arms to France and Germany.
Hosmer's Appeal to Arms and Outcome of the Civil War (New York, 1907); John Eaton's Grant, Lincoln, and the Freedmen (New York, 1907), and various works mentioned in the articles American Civil War, Wilderness Campaign, &C.
However, in 1833, Berzelius reverted to his earlier opinion that oxygenated radicals were incompatible with his electrochemical theory; he regarded benzoyl as an oxide of the radical C 14 H 1Q, which he named " picramyl " (from 7rucp6s, bitter, and &uvyalk, almond), the peroxide being anhydrous benzoic acid; and he dismissed the views of Gay Lussac and Dumas that ethylene was the radical of ether, alcohol and ethyl chloride, setting up in their place the idea that ether was a suboxide of ethyl, (C2H5)20, which was analogous to K 2 0, while alcohol was an oxide of a radical C 2 H 6; thus annihilating any relation between these two compounds.
Hydriodic acid at high temperature reduces pyrrol to pyrrolidine (tetra-hydropyrrol), C 4 H 8 NH.
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, C, ca, st) bearing a distinct inner and outer lobe (lacinia and galea, fig.
Ia, frons; b, clypeus (the pointed labrum beneath it); II, mandible; III, first maxilla; (a, base; b, sheath; c, piercer), III', inner view of sheath; IV, second maxillae forming rostrum (b, mentum; c, ligula).
If a .JP solid circle be fixed in any one position and a tube be pivoted on its centre so as to move; and if the line C D be drawn upon the circle pointing towards any object Q in the heavens which lies in the plane of the circle, by turn ing the tube A B towards any other object P in the plane of the circle, the angle B 0 D will be the angle subtended by the two objects P and Q at the eye.
If a condenser of capacity C is charged to potential V, and discharged n times per second through a galvanometer, this series of intermittent discharges is equivalent to a current nCV.
If a of the stock are of one type, b of another, c of another,.
If a solid body is regarded as an aggregation of similar atoms each of mass m, its specific heat C is given, as in formula (19) by C = i (n+3) R/Jm.
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 a-naphthylamine and a-naphthol be reduced, the hydrogen atoms attach themselves to the non-substituted half of the molecule, and the compounds so obtained resemble aminodiethylbenzene, C 6 H 3 NH 2 (C 2 H 5) 21 and oxydiethylbenzene, C 6 H 3.
If C is the number of pounds of coal burnt per square foot of grate per hour, the calorific value of which is c B.Th.U.
If guncotton be correctly represented by the formula C 6 H 7 0 2 (NO 3) 3, it should contain a little more than 14% of nitrogen.
If it possesses an alkaline or acid reaction, it must be tested in the first case for ammonia, and in the second case for a volatile acid, such as sulphuric, nitric, hydrochloric, &c.
If now the nti c denote a given pencil of lines, an invariant is the criterion of the pencil possessing some particular property which is independent alike of the axes and of the multiples, and a covariant expresses that the pencil of lines which it denotes is a fixed pencil whatever be the axes or the multiples.
If ozone is passed into a solution of rubber in chloroform the caoutchouc combines with a molecule of ozone forming a compound of the empirical composition C 5 H 8 O 8.
If R and S are the ends of a prismoid, A and B their areas, h the perpendicular distance between them, and C the area of a section by a plane parallel to R and S and midway between them, the volume of the prismoid is *h(A+4C+B).
If the load rests directly on the main girder, the greatest -Iand - shears at C will be wXAGC and -w X CHB.
If the operation is again reversed, the upward course will be nearly, but not exactly, of the form shown by the line d c a, fig.
If the outer shell is connected to the earth, the charge +Q on it disappears, and we have the capacity C of the inner sphere given by C= I /R 1 - I /R2=(R2 - R1) R1R2 (II).
If the trapezette, as seen from above, is everywhere convex or everywhere concave, the true area lies between C 1 and T1.
If the volume of the gas is kept constant, we put dv=o in equation (18) and dQ = JC0NmdT, where C v is the specific Specific heat of the gas at constant volume and J is the mechanical equivalent of heat.
If then the outer cylinder be at zero potential the potential V of the inner one is V =A log (R 2 /R 1), and its capacity C =1/2 log R2/R1.
If these are first drawn it is easy, for any position of the loads, to draw the lines B'C, B'D, B'E, and to find the sum of the intercepts which is the total bending moment under a load.
If we have a symbolic product, which contains the symbol a only in determinant factors such as (ab), we may write x 2, -x 1 for a 1, a 2, and thus obtain a product in which (ab) is replaced by b x, (ac) by c x and so on.
If we use c 1 to represent the chord of the whole arc, c 2 the chord of half the arc, and c 4 the chord of one quarter of the arc, then corresponding to (i) and (iii) of § 70 or § 79 we have a (8c 2 - c i) and4 5 (256c 4 - 40c2+ci) as approximations to the length of the arc. The first of these is Huygens's rule.
If, however, an amount of energy a is taken up in separating atoms, the ratio is expressible as C p /C„= (5+a)/(3-Fa), which is obviously smaller than 5/3, and decreases with increasing values of a.
In 1892, at Warwick, the competitions related to ploughs - single furrow (a) for light land, (b) for strong land, (c) for press drill and broad-cast sowing; two-furrow; three-furrow; digging (a) for light land, (b) for heavy land; and one-way ploughs.
In a particular case where the boiler pressure was maintained constant at 130 lb per square inch, and the cut-off was approximately 20% of the stroke, the values c =55 and b=o 031 were deduced, from which it will be found that the value of the piston speed corresponding to the maximum horsepower is 887 ft.
In a similar manner, by giving different values to the resistance 4 F R, any desired number of points R= between a and c in the curve can FIG.
In addition to these modifications, which are common to nearly all orchids, there are others generally but not so universally met with; among them is the displacement of the flower arising from the twisting of the inferior ovary, in consequence of which the flower is so completely turned round that the "lip," which originates in that part of the flower, conventionally called the posterior or superior part, or that S c ?
In addition to this there is compulsory service in the National Guard (a) in the first class, consisting of men between seventeen and thirty years of age, liable for service with the standing army, and numbering some 15,000; (b) in the second class, for departmental service only, except in so far as it may be drawn upon to make up losses in the more active units in time of war, consisting of men from thirty to forty-five years of age, and (c) in the third class, for local garrison duty, consisting of men between forty-five and sixty years old.
In all British coal-mines, when gas in dangerous quantities has appeared within three months, and in all places that are dry and dusty, blasting is prohibited, except with Safety ex= c, „ permitted explosives, whose composition and pro perties have been examined at the testing station at the Royal Arsenal, Woolwich.
In Anglo-Saxon c was adopted to represent the hard stop. After the Norman conquest many English words were re-spelt under Norman influence.
In each case we have C = a when e= 0, and the ellipsoid thus becomes a sphere.
In Latin there is no evidence for the interchange of c with a sibilant earlier than the 6th century A.D.
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 Russia proper less than 2% emigrated from the C villages to the towns during the forty years ending 1897.
In specialized biting insects, such as beetles (Coleo C ptera), the labium tends to become a hard transverse plate bearing the pair of palps, a median structure - known as the ligula - formed of the conjoined laciniae, and a pair of small rounded processes - the reduced galeae - often called the " paraglossae," a term better avoided since it has been applied also to the maxillulae of Aptera, entirety different structures.
In that case the loads on either side of C are proportional to m and l - m.
In the case of addition, for instance, suppose that we are satisfied that in a+b+c+d+e we may take any two, as b and c, together (association) and interchange them (commutation).
In the case of plants the method of procedure was to grow some of the most important crops of rotation, each separately year after year, for many years in succession on the same land, (a) without manure, (b) with farmyard manure and (c) with a great variety of chemical manures; the same description of manure being, as a rule, applied year after year on the same plot.
In the course of reducing such expressions as (AB)C, (AB){C(DE)} and the like, where a chain of multiplications has to be performed in a certain order, the multiplications may be all progressive, or all regressive, or partly, one, partly the other.
In the extreme case when e=1, the prolate ellipsoid becomes a long thin rod, and then the capacity is given by C 1 = a/log e 2a/b (io), which is identical with the formula (2) already obtained.
In the first place an inverted image (first image) is formed in the face b c, and then an image of this image is formed in a b, and it is the outline of this second image seen projected on the paper that is traced by the pencil.
In the great 14th century "Manesse" MS. (c) collection of medieval German lyrics, preserved at Heidelberg, there are two songs written by Conradin, and his fate has formed the subject of several dramas.
In the modified Joule-Thomson equation (17), both c and n have simple theoretical interpretations, and it is possible to express the thermodynamical properties of the substance in terms of them by means of reasonably simple formulae.
In the theory of surfaces we transform from one set of three rectangular axes to another by the substitutions 'X=' by+ cz, Y = a'x + b'y + c'z, Z =a"x+b"y-l-c"z, where X 2+Y2+Z2 = x2+ y2+z2.
In the United States, Belgian furnaces of type (a) are built to contain 864 retorts; of type (b), to contain 300 to 400 retorts; and of type (c), preferably about 600 retorts.
In the wasting of the thyroid gland in myxoedema, or when the gland is completely removed by operation, myxomatous areas are found in the subcutaneous tissue of the skin, nerve-sheaths, &c.
In this article (A) the general anatomy of birds is discussed, (B) fossil birds, (c) the geographical distribution.
In this manner an annuity of £T159,500 was set free, of which £Ti i,000 per annum was allotted as " extraordinary sinking fund " to series A and £T49,500 per annum each to series B, C and D; the lottery bonds were originally excluded from this arrangement, and special compensation was granted to these later.
In this manner the food absorbed by one individual contributes to the welfare of the whole colony, and the coenosarc has the 6 C FIG.
In this stage the body is composed of two layers, ectoderm (d) externally, and endoderm (c) internally, surrounding a central cavity, the archenteron (b), which communicates with the exterior by a pore (a), the blastopore.
In this table n is the refractive index of the glass for sodium light (the D line of the solar spectrum), while the letters C, F and G' refer to lines in the hydrogen spectrum by which dispersion is now generally specified.
In this they were completely successful, for they obtained general solutions for the equations ax by = c, xy = ax+by+c (since rediscovered by Leonhard Euler) and cy 2 = ax e + b.
In this way points can be found lying anywhere between c and d of fig.
In works on sound it is usual to adopt Helmholtz's notation, in which the octave from bass to middle C is written c d e f g a b c'.
It acts as an oxidizing agent, liberating iodine from potassium iodide, converting alcohol into acetaldehyde, &c.
It also manufactures agricultural implements, furniture, paper, tobacco, &c.
It can be proved by geometry that (aA-H3B) +yC = aA+(aB+- y C) = (a + 1 3+ 7) P, where P is in fact the centroid of masses a, 13, y placed at A, B, C respectively.
It can be shown that if two circuits, both having capacity (C) and inductance (L), are coupled together inductively, then, when oscillations are set up in one circuit, oscillations of two periods are excited in the other differing in frequency from each other and from the natural frequency of the circuit.
It consists of two branches AC and BC, which meet in a lowest point C. It will be seen that as we increase the percentage of B from nothing up to that of the mixture C, the freezing-point becomes lower and lower, but that if we further increase the percentage of B in the mixture, the freezing-point rises.
It had come to fill only part of its ancient circuit, but of recent years it has revived considerably, and, since the railway reached it, has acquired a semi-European quarter, with a German hotel, cafes and Greek shops, &c.
It has been ascribed to a fly, to the water and to other causes; but it is not peculiar to Aleppo, being rife also at Aintab, Bagdad, &c.
It is a monacid base; the hydrochloride, C 20 H 17 N0 4 HC1, is insoluble in cold alcohol, ether and chloroform, and soluble in 500 parts of water; the acid sulphate, C 20 H 17 N0 4 H 2 SO 4, dissolves in about loo parts of water.
It is also produced by the action of sodium on a mixture of epichlorhydrin and methyl iodide, C 3 H S OC1+CH 3 I+2Na= C 3 H 4 0+NaI+NaC1+CH 4.
It is decomposed, on dry distillation, into carbon dioxide and pyromellitic acid, C i oH 6 0 8 i when distilled with lime it gives carbon dioxide and benzene.
It is evident that every mixture except the eutectic mixture C will have two halts in its cooling, and that its solidification will take place in two stages.
It is expressly directed by the act of 1898 above referred to, that in regard to succession, inheritance, marriage, caste or any religious usage or institution, the law to be administered in Burma is (a) the Buddhist law in cases where the parties are Buddhists, (b) the Mahommedan law in cases where the parties are Mahommedans, (c) the Hindu law in cases where the parties are Hindus, except so far as the same may have been modified by the legislature.
It is im 1 The materials are in Baur, Das manichaische Religionssystem (1831), p. 162, &c.
It is often convenient to regard compounds as formed upon certain types; alcohol, for example, may be said to be a compound formed upon the water type, that is to say, a compound formed from water by displacing one of the atoms of hydrogen by the group of elements C 2 H 5, thus - H C2H5 O H O H Water Alcohol.
It is possible to classify sacrifices according to (a) the occasion of the rite, (b) the end to be achieved, (c) the material object to be affected or (d) the form of the rite.
It is the distributing centre for the surrounding district, and exports railway carriages, engines, boilers, stoves, &c.
It is the plural form of Targi," a raider."The Tawareq call themselves by some variant of the root MasheqTamasheq, Imoshagh, &c.
It is thus sufficient to determine the intensity along the axis of p. Putting q = o, we get C = ffcos pxdxdy=2f+Rcos 'px 1/ (R2 - x2)dx, R being the radius of the aperture.
It must be mentioned 4 _ 28 that the pressure of the cushion C on the type-wheels 6 - 30 has no influence whatever upon the micrometer-screw, 7 -32 because the type-wheels are mounted on a hollow cylindrical axis, concentric with the axis of the screw, but entirely disconnected from the screw itself.
It was first prepared by C. Scheele and is formed when urea HO C N is treated with water.
It was found that the results were capable of expression by the empirical relation CaH2b= 104.3b+49'09m+105.47n, where C a H 2b denotes the formula of the hydrocarbon, m the number of single carbon linkings and n the number of double linkings, m and n being calculated on the Kekule formulae.
It will deal briefly (I) with the general idea and the historical evolution of ecclesiastical vestments, (2) with the vestments as at present worn (a) in the Roman Catholic Church, (b) in the Oriental Churches, (c) in the Reformed Churches, (d) in the Anglican Church.
It would be impossible to enumerate here all the monographs describing, for example, the ruins of Carthage, those of the temple of the waters at Mount Zaghuan, the amphitheatre of El Jem (Thysdrus), the temple of Saturn, the royal tomb and the theatre of Dugga (Thugga), the bridge of Chemtu (Simitthu), the ruins and cemeteries of Tebursuk and Medeina (Althiburus), the rich villa of the Laberii at Wadna (Uthina), the sanctuary of Saturn Balcaranensis on the hill called Bu-KornaIn, the ruins of the district of Enfida (Aphrodisium, Uppenna, Segermes), those of Leptis minor (Lemta), of Thenae (near Sfax), those of the island of Meninx (Jerba), of the peninsula of Zarzis, of Mactar, Sbeitla (Sufetula), Gigthis (Bu-Grara), Gafsa (Capsa), Kef (Sicca Veneria), Bulla Regia, &c.
Its ethyl ester reacts with hydrazine to form hippuryl hydrazine, C,H 5 CO NH CH 2 CO NH NH 2, which was used by Curtius for the preparation of azoimide.
Jahn, 2 the processes at the anode can be represented by the equations 2CH 3 000+H 2 0 =2CH3 000H+0 2 C H 3.
Keating, Narrative of an Expedition to the Sources of the St Peter (Minnesota) River, Lake Winnepeek, Lake of the Woods, &c....
Kekule (Ann., 1883, 221, p. 230), however, reinvestigated this acid; he showed that it was dibasic and not tribasic; that it gave tartaric acid on reduction; and, finally, that it was dioxytartaric acid, HOOC C(OH) 2 C(OH) 2 COOH.
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 E represent the pounds of coal burnt per hour in the fire-box of a locomotive, and let c be the calorific value in B.Th.U.
Let each of the effects A, B, C, D and E be called positive when it is such as is exhibited by moderately magnetized iron, and negative when its sense is opposite.
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.
Linnaeus described five or six species, de C an doll e thirteen.
Live-stock and dairy products are important factors in the T C t o L %i, aa.
Long-continued treatment with halogens may, in some cases, result in the formation of aromatic compounds; thus perchlorbenzene, C 6 C1 6, frequently appears as a product of exhaustive chlorination, while hexyl iodide, C 6 H 13 I, yields perchlorand perbrom-benzene quite readily.
Luxury and drinking were to be suppressed, the universities, especially the divinity schools, reorganized, &c.
Manganese dioxide and sulphuric acid oxidize it to benzoic and o-phthalic acid; potassium chlorate and sulphuric acid breaks the ring; and ozone oxidizes it to the highly explosive white solid named ozo-benzene, C 6 H 6 O 6.
Many attempts have been made to present a satisfactory sketch of the early history and to do justice to (a) the patriarchal narratives, (b) the exodus from Egypt and the Israelite invasion, and (c) the rise of the monarchy.
Many workers following certain occupations show pigmented scars due to the penetration of carbon and other pigments from superficial wounds caused by gunpowder, explosions, &c.
Maurice also contributed many prefaces and introductions to the works of friends, as to Archdeacon Hare's Charges, Kingsley's Saint's Tragedy, &c.
Metacrolein, (C 3 H 4 0) 3, is a polymer of acrolein.
Methane and its homologues give origin to the " paraffin " or " fatty series " of the general formula C,H 2, ,+ 1 000H, ethylene gives origin to the acrylic acid series, C n H 27, - 1 000H, and so on.
Meyerdahl obtained 4% of palmitic acid, 20% of jecoleic acid, C19H3602, and 20% of therapic acid, C 17 H 28 O 2; other investigators have recognized jecoric acid, C 18 H 30 O 2, asellic acid, C17H3202, and physetoleic acid, C16Hn02, but some uncertainty attends these last three acids.
More important are Kekule's observations that nitrous acid oxidizes pyrocatechol or [I.2]-dioxybenzene, and protocatechuic acid or [3.4]- dioxybenzoic acid to dioxytartaric acid, (C(OH) 2 COOH) 2 (Ann., 1883, 221, p. 230); and 0.
Moreover, had the evolution of plants proceeded along the line of adaptation, the vegetable kingdom could not be subdivided, as it is, into the morphological groups Thallophyta, Bryophyta, Pteridophyta, Phanerogamia, but only into physiological groups, Xerophyta, Hygrophyta, Tropophyta, &c.
Moreover, it is very doubtful whether the word r y ?c can be translated " Director."
Nearly 33% of the population, 127,637 persons, were returned officially at the census of 1904 as of " no religion," under which head are classed the natives who retain their primitive forms of belief, for which see Kaffirs, Bechuanas, &c.
Neglecting small terms of the second order, the equation may then be written in the form v - b=RO/p - co(Oo/O)=V - c,..
Next let the loads advance a distance a so that W2 comes to C. Then the shear at C is R(n+a)/l - WI, plus any reaction d at B, due to any additional load which has come on the girder during the movement.
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.
Now in order to [do] this, it appeared that in all the series the first term was x; that the second terms R- x 3 3x 3, 3x 3, &c., were in arithmetical progression; and consequently that the first two terms of all the series to be interpolated would be x-- 3, x- `3, x-- 3, &c.
Now the electric force (P,Q,R) is the force acting on the electrons of the medium moving with velocity v; consequently by Faraday's electrodynamic law (P,Q,R) = (P',Q' - vc, R'+vb) where (P',Q',R') is the force that would act on electrons at rest, and (a,b,c) is the magnetic induction.
Oliiro k?i rbotiaaor C agricultural wealth of Washington, but the raising of live-stock on ranges is less common than when large herds grazed free on government lands.
On oxidation it yields ortho-carboxy-hydrocinnamic acid, HO 2 C C 6 H 4 CH 2 CH 2 C02H.
On the other hand, they were overcome by the Autariatae, an Illyrian tribe; the date of HO 2 C C =N NC 6 H 4 NH 2 NH.
On this principle the covariant j is expressible in the form R 2 j =5 3 + BS 2 a+4ACSa 2 + C(3AB -4C)a3 when S, a are the above defined linear forms.
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.
Or, we gravitate toward anecdotes like, "I take my vitamin C every day and haven't had a cold in year."
Outline of the ventral surface to show the external apertures and nervous system; a, rosette-organ; b, uterine pore; c, terminal sucker; e, vaginal pore; g, male gonopore; n, o, p, nervous system.
Ow are any momenta or functions of the co-ordinates and momenta or co-ordinates alone which are subject only to the condition that they do not enter into the coefficients a 1, a 2, &c.
Parker in the Journal of the Royal Asiatic Society, Journal asiatique, Revue numismatique, Asiatic Quarterly, &c. (C. EL.) EPI, the French architectural term for a light finial, generally of metal, but sometimes of terra-cotta, e forming the termination of a spire or the angle of a roof.
Pear trees may 2, Section of leaf surface showing the also be attacked by a great spores or conidia, c, borne on long variety of insect pests.
Phenylnitromethane, C 6 H 5 CH 2 NO 2, isomeric with the nitrotoluenes, is prepared by the action of benzyl chloride on silver nitrite.
Phytophthora in potatoes., If, on the other hand, the irritating agent is local in its action, causing only a few cells to react, we have the various pimples, excrescences, outgrowths, &c., exhibited in such cases as Ustilago Maydis on the maize, various galls, witchesbrooms, &c.
Polyp 7 has proof sense, 1 o c oduced as its first bud, 8; as its second bud, a7, motion and nutriwhich starts a uniserial pinnule; and as a third t i on, until its bud I', which starts a biserial branch (I I'-VI') medusoid nature that repeats the structure of the main stem and and organization gives off pinnules.
Potassium chlorate and hydrochloric acid oxidize phenol, salicylic acid (o-oxybenzoic acid), and gallic acid ([2.3.4] trioxybenzoic acid) to tri chlorpyroracemic acid (isotrichlorglyceric acid), CC13 C(OH)2 C02H, a substance also obtained from trichloracetonitrile, CC1 3 CO CN, by hydrolysis.
Potassium phenolate, C 6 H 5 OK, crystallizes in fine needles, is very hygroscopic and oxidizes rapidly on exposure.
Pre-Darwinian zoologists had been aware of the class of facts thus interpreted by Fritz Muller, but the authoritative view on the subject had been that there is a parallelism between (a) the series of forms which occur in individual development, (b) the series of existing forms from lower to higher, and (c) the series of forms which succeed 'one another in the strata of the earth's crust, whilst an explanation of this parallelism was either not attempted, or was illusively offered in the shape of a doctrine of harmony of plan in creation.
Pro-deltidium attached A B C FIG.
Profane cursing and swearing is made punishable by the Profane Oaths Act 1745, which directs the offender to be brought before a justice of the peace, and fined five shillings, two shillings or one shilling, according as he is a gentleman, below the rank of gentleman, or a common labourer, soldier, &c.
Professional classes, admini stration, &c 1,304,347 855,217 449,130
Remark.-The invariant C is a numerical multiple of the resultant of the covariants i and j, and if C = o, p is the common factor of i and j.
Repeating the process for other positions, we get the influence line Aghb, for the shear at C due to unit load anywhere on the girder.
Rose the third day, A, B, D, E (F omits " the third day " being a theological creed; the translation of C is uncertain).
Rotation is communi cated by a pinion, turned by the handle c (concealed in the figure), which works in teeth cut on the edge of the flange h.
Sanctus, or Tersanctus, or Triumphal Hymn, " Holy, Holy, Holy," &c., ending with the Benedictus, Blessed is he that cometh," &c.
Saw-milling, boat-building and flaxstripping are carried on, together with trade in cereals, cloth, potatoes, &c.
See French Revolution; Girondists; Mountain; D Anton; Robespierre; Marat, &C.
See further Caliphate, section C, §§ 4, 5.
See further the articles on Xenophanes; Parmenides; Zeno (of Elea); Melissus, with the works there quoted; also the histories of philosophy by Zeller, Gomperz, Windelband, &c.
Series B, C and D (series A having already been completely redeemed by the action of the sinking fund) were replaced by the creation of new 4% bonds to a nominal amount of £T32,738,772, with a sinking fund of 0.45% per annum, bearing identical rights and privileges, and ranking immediately after, the priority bonds.
Silicobenzoic acid, C 6 H 5 S10.0H, results from the action of dilute aqueous ammonia on phenyl silicon chloride (obtained from mercury diphenyl and silicon tetrachloride).
Similarly, for a corresponding figure K'L'BA outside the parabola, the area is lK'L'(K'A+4M'C +L'B).
Similarly, greater atomic complexity is reflected in a further decrease in the ratio C y /Cy.
Since h = H/m, the inaccuracy in taking C I as the area varies as I /m2.
Since of a the capacity C is the ratio of charge to potential, the sphere.
Since the amounts of heat supplied at constant pressure from E to F and from E to C are in the limit proportional to the expansions EF and EC which they produce, the ratio S/s is equal to the ratio ECÆF.
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,.
Since the maxima occur when u = (m +1)7r it nearly, the successive values are not very different from 4 4 4 &c The application of these results to (3) shows that the field is brightest at the centre =o, =0, viz.
Since then they are all charged with the same quantity of electricity, and the total over all potential difference V is the sum of each of the individual potential differences V1, V2, V3, &c., we have Q=C I V I =C 2 V 2 =C 3 V 3 =&c., and V=V1-FV2+V3+&c. The resultant capacity is C = Q/V, and C= I/(I/C1 +I /C2+1/C3+&c) = I/Z(I /C) (15).
Soc., 188 9, 55, p. 760), or when benzsulphohydroxamic acid, C 6 H 5 SO 2 NH OH, is treated in the same manner (0.
Some solutions of nitroglycerin (in ether, acetone, &c.) burn quietly, and the same is the case when it is held in solution or suspension in a colloid substance, as gelatinized guncotton, &c.
Such a series of typical compounds are the benzene dicarboxylic acids (phthalic acids), C 6 H 4 (000H) 2.
Such an expression as a l b 2 -a 2 b i, which is aa 2 ab 2 aa x 2 2 ax1' is usually written (ab) for brevity; in the same notation the determinant, whose rows are a l, a 2, a3; b2, b 2, b 3; c 1, c 2, c 3 respectively, is written (abc) and so on.
Supplices to rogamus, &c.
Suppose P tons is moved c ft.
Suppose that there are a number of arrangements of r terms or elements, the first of which a is always either A or not-A, the second b is B or not-B, the third c is C or not-C, and so on.
Taking the successive key-notes D, A, E, B, it is found that besides small and negligible differences, each introduces a new sharp, and so we get the five sharps, C, D, F, G, A, represented nearly by the black keys.
Temple C is the earliest of those on the acropolis.
Ternary and Higher Forms.-The ternary form of order n is represented symbolically by (aixl+a2x2+a3x3)' =a'; and, as usual, b, c, d,...
That layer C A E presses against and pushes forward the next layer and so on.
The "browse," after removal of the "grey" slag, is reintroduced, ore added, and, after a quarter of an hour's heating, the mass again placed on the work-stone, &c.
The 1st pair of appendages both in this and in C are retracted.
The acid is thus obtained in colourless rhombic prisms of the composition C 6 H 8 0 7 +H 2 0.
The advantage of this type of equation is that c is a function of the temperature only.
The artillery is divided into (a) field artillery, horse artillery, mountain artillery and howitzer regiments; (b) fortress artillery; (c) artillery depots.
The c nquest of the peninsula was undertaken in 1527 by Francisco de Montejo, who en-, countered a more vigorous opposition than Cortes had on the high plateau of Anahuac. In 1549 Montejo had succeeded in establishing Spanish rule over barely one-half of the peninsula, and it was never extended further.
The capacity C of the ellipsoid of revolution is therefore given by the expression I I dx (7) C 2a ?
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 change of the intrinsic energy in passing from one state to another, as from B to C is represented by the addition of the heat-area H= Bczz', and the subtraction of the work-area W = BCcb.
The cheek-teeth (premolars and molars) form a A B C FIG.
The closed figure a c d e a is variously called a hysteresis curve or diagram or loop. The area f HdB enclosed by it represents the work done in carrying a cubic centimetre of the iron through the corresponding magnetic cycle; expressed in ergs this work is I HdB.
The coins are placed in a rouleau in the hopper C and the lowest one is pushed on to the pan B by a slide not shown in the figure.
The complete analysis involves an examination of the fatty matter, of the various forms in which the alkalis are present - free and combined glycerin, &c.
The constant co is the value of c at some standard temperature oo.
The Coptic version (C. Schmidt, Acta Pauli, pp. 74-82), which is here imperfect, is clearly from a Greek original, while the Latin and Armenian are from the Syriac. (c) The Acts of Paul and Thecla.
The current passes through the rocking key K, which, when thrown over to the right, places a in contact with c and b with d, and when thrown over to the left, places a in contact with e and b with f.
The declaration is to the effect that the clergyman has not received the presentation in consideration of any sum of money, reward, gift, profit or benefit directly or indirectly given or promised by him or any one for him to any one; that he has not made any promise of resignation other than that allowed by the Clerical Resignation Bonds Act 1828; that he has not for any money or benefit procured the avoidance of the benefice; and that he has not been party to any agreement invalidated by sec. 3 sub-sec. 3 of the act which invalidates any agreement for the exercise of a right of patronage in favour or on the nomination of any particular person, and any agreement on the transfer of a right of patronage (a) for the retransfer of the right, or (b) for postponing payment of any part of the consideration for the transfer until a vacancy or for more than three months, or (c) for payment of interest until a vacancy or for more than three months, or (d) for any payment in respect of the date at which a vacancy occurs, or (e) for the resignation of a benefice in favour of any person.
The dentition is i, c 1, p 4, m L total 42.
The discrepancy now, however, amounts to the entire breadth of a sign, the sun's path in Aries lying among the stars of Pisces, in Taurus among those of Aries, &c.
The discriminant is the resultant of ax and ax and of degree 8 in the coefficients; since it is a rational and integral function of the fundamental invariants it is expressible as a linear function of A 2 and B; it is independent of C, and is therefore unaltered when C vanishes; we may therefore take f in the canonical form 6R 4 f = BS5+5BS4p-4A2p5.
The earliest literary papyrus is that known, from the name of its former owner, as the Prisse papyrus, and now preserved at Paris, containing a work composed in the reign of a king of the fifth dynasty, and computed to be itself of the age of upwards of 2500 years B,C. The papyri discovered in Egypt have often been found in tombs, and in the hands, or swathed with the bodies, of mummies.
The effect of overwork upon an organ or tissue varies in accordance with (a) the particular organ or tissue concerned, (b) the amount of nourishment conveyed to it, and (c) the power of assimilation possessed by its cells.
The effective angular inertia of the body in the medium is now required; denote it by C 1 about the axis of the figure, and by C2 about a diameter of the mean section.
The energy is less than that of an ideal gas by the term npc. If we imagine that the defect of volume c is due to the formation of molecular aggregates consisting of two or more single molecules, and if the kinetic energy of translation of any one of these aggregates is equal to that of one of the single molecules, it is clear that some energy must be lost in co-aggregating, but that the proportion lost will be different for different types of molecules and also for different types of co-aggregation.
The fact that C 1 does not give the true area is due to the fact that in passing from one extremity of the top of any strip to the other extremity the tangent to the trapezette E, _- changes its direction.
The first question abi C W which arose was that of brigandage in thesoutli.
The foot by which it is attached often sends out root-like processes - the hydrorhiza (c).
The form C which it takes in the alphabets of Naxos, Delos and other Ionic islands at the same period is difficult to explain.
The game-pies and other delicacies of Chartres are well known, and the industries also include flour-milling, brewing, distilling, iron-founding, leather manufacture, dyeing, and the manufacture of stained glass, billiard requisites, hosiery, &c.
The general form of covariant is therefore (ab) h i (ac) h2 c) (b h3 a i bb2c'e3...abia?2b?3...
The greatest brightness is at the centre, where dC = 27rp d p, C = 7rR2.
The greatest moment CG at C is x(l-x)/l.
The greatest shear at C for any position of the load occurs when the head of the train is at C. For any load p between C and B will increase the reaction at B and therefore the shear at C by part of p, but at the same time will diminish the shear at C by the whole FIG.
The greatest shear at C may occur with W I at C. If W 1 passes FIG.
The greatest shear at C' of the opposite sign to that due to the loading of the longer segment occurs with the shorter segment loaded.
The heart c lying in the pericardium is seen in close proximity to the renal organ, and consists of a single auricle receiving blood from the gill, and of a single ventricle which pumps it through the body by an anterior and posterior aorta.
The hinder portion of the body being drawn of ter, some part of it (c) finds another support on the rough ground or a projection; and, the anterior bends being stretched in a straight line, the front part of the body is propelled (from a to d) in consequence.
The introvert is not a simple one with complete range both in eversion and introversion, but is arrested in introversion by the fibrous bands at c, and similarly in eversion by the fibrous bands at b.
The jet tube, for a reason which will be given when we consider the maintenance of vibrations, must be less than c a9 half the length of the sounding tube.
The kalimaukion is also worn by the other clergy in ordinary life, and with their vestments at processions, &c.
The lagoon fisheries are also of great importance, more especially those of Comacchio, the lagoon of Orbetello and the Mare Piccolo at Taranto &c The deep-sea fishing boats in 1902 numbered 1368, with a total tonnage of 16,149; 100 of these were coral-fishing boats and 111 sponge-fishing boats.
The largest of the Amazon species are the jacare-assu (Caiman niger), jacare (C. fissipes) and jacaretinga (C, sclerops).
The logarithmic formulae for these concentration cells indicate that theoretically their electromotive force can be increased to any extent by diminishing without limit the concentration of the more dilute solution, log c i /c 2 then becoming very great.
The magnesite (a) serves for the generation of carbon dioxide which clears the tube of air before the compound (mixed with fine copper oxide (b)) is burned, and afterwards sweeps the liberated nitrogen into the receiving vessel (e), which contains a strong potash solution; c is coarse copper oxide; and d a reduced copper gauze spiral, heated in order to decompose any nitrogen oxides.
The mathematical importance of this function called the potential is that it is a scalar quantity, and the potential at any point due to any number of point charges ql, q2, q3, &c., distributed in any manner, is the sum of them separately, or qi/xl+q2/x2+q3/x3+&c. =F (q/x) =V (17), where xi, x2, x 3, &c., are the distances of the respective point charges from the point in question at which the total potential is required.
The metal slips are so placed that, as the disk revolves, the middle brush, connected to one terminal of the condenser C, is alternately put in conductive connexion with first one and then the other outside brush, which are joined respectively to the battery B and galvanometer G terminals.
The middle of the string is a loop. In the next mode A and C represent the ends and AC = X = and n 2 = U/A 2 = 2U/2/ = (2/21) A / (T/m).
The mineral has a very perfect cleavage parallel to the faces c and m, and the cleavage surfaces are perfectly smooth and bright.
The mixture C has a lower freezing or melting point than that of any other mixture; it is called the eutectic mixture.
The moment due to this, at C, is wm (l-x) Om/1.
The more important wild animals are a large wild sheep (Ovis poli), foxes, wolves, jackals, bears, boars, deer and leopards; amongst birds, there are partridges, pheasants, ravens, jays, sparrows, larks, a famous breed of hawks, &c.
The most important works for (a) are the "Review of Aenesidemus," and the Second Introduction to the Wissenschaftslehre; for (b) the great treatises of the Jena period; for (c) the Thatsachen des Bewusstseyns of 1810.
The muscular columns (c) attaching the foot to the shell form a ring incomplete in front, external to which is the free mantleskirt.
The neck of the retort, or side tube of the flask, is connected to the condenser c by an ordinary or rubber cork, according to the nature of the substance distilled; ordinary corks soaked in paraffin wax are very effective when ordinary or rubber corks cannot be used.
The octave above is c' d'e' f' g' a' b' c".
The of Wales's ' 'c i evidence laid before the committee explained to the country for the first time the actual state of the royal income, and on the proposal of Gladstone, amending the proposal of the government, it was proposed to grant a fixed addition of £36,000 per annum to the prince of Wales, out of which he should be expected to provide for his children without further application to the country.
The oldest and perhaps most reasonable idea represents guncotton as cellulose trinitrate, but this has been much disputed, and various formulae, some based on cellulose as C, 2 H200 10, others on a still more complex molecule, have been proposed.
The origin of the corpuscles, previously a matter of so much difference of opinion, is now pretty fairly set at rest, and has proved the key to the interpretation of the pathology of many diseases of the blood, such as the different forms of anaemia, of leucocythaemia, &c.
The overheating curve of rhombic sulphur extends along the curve AC, where C is the melting-point of monoclinic sulphur.
The Peruvian chinchilla (C, brevicaudata) is larger, with relatively shorter ears and tail; while still larger species constitute the genus Lagidium, ranging from the Andes to Patagonia, and distinguished by having four in place of five front-toes, more pointed ears, and a somewhat differently formed skull.
The points A, B, C, D are termed " nodes," and the points half-way between them " loops."
The position of the loads which gives the greatest moment at C may be settled by the criterion given above.
The pressure on CD is equal to the A C momentum which it receives per second.
The rates at which the series were respectively exchanged against the new unified bonds were £loo series B against £70 unified, £loo series C against £42 unified and £too series C against £37, 10s.
The reason is to be found in its geographical position, a cold ice-covered polar current 68' running south along the land, while not far outside there is an open warmer sea, a circumstance which, while producing a cold climate, must also give rise to much precipitation, the land being C', thus exposed to the alternate erosion of a rough atmosphere and large glaciers.
The remarkable discovery of the dual nature of the nervous system, of its duplex development as a lower and upper system of "neurons," has shed much light upon the problems of practical medicine, but this construction is described under Brain; Neuropathology; Muscle And Nerve, &C.
The resultant hydrostatic thrust across any diametral plane of the cylinder will be modified, but the only term in the loss of head which exerts a resultant thrust on the whole cylinder is 2mU sin Olga, and its thrust is 27rpmU absolute units in the direction Cy, to be counteracted by a support at the centre C; the liquid is streaming past r=a with velocity U reversed, and the cylinder is surrounded by a vortex.
The right sheath C (outer process of the ninth abdominal segment-9) is shown in connexion with the guide B formed by the inner processes of the 9th segment.
The ring c, which carries the supports of the handles a', b', is capable of a certain amount of rotation on the tube.
The same methyl iodide gave with potassium cyanide, acetonitril, which was hydrolysed to acetic acid; this must be C(Coch) a H b H c H d.
The sand at C will be set in violent movement.
The segmentation of the prosoma and the form of the appendages bear a homoplastic similarity to the head, pro-, meso-, and meta-thorax of a Hexapod with mandibles, maxillary palps and three pairs of walking legs; while the opistho io i e d c b o a S' S" 2 I VT V S IV III II I Opisthosoma Prosoma FIG.
The seriousness of the damage done is illustrated by the ravages of the larch disease, apple canker, &c.
The shaded rectangles represent the distribution of shear due to the load at C, while no may be termed the datum line of shear.
The sides of the polygon may be arranged in any order, provided care is taken so to draw them that in passing round the polygon in C D _E FIG.
The space a must allow for the inclusion of a copper spiral if the substance contains nitrogen, and a silver spiral if halogens be present, for otherwise nitrogen oxides and the halogens may be condensed in the absorption apparatus; b contains copper oxide; c is a space for the insertion of a porcelain or platinum boat containing a weighed quantity of the substance; d is a copper spiral.
The starting point was ordinary(d)mannite (mannitol),C 6 H 14 0 61 a naturally occurring hexahydric alcohol, which only differed from a-acritol, the alcohol obtained by reducing a-acrose, with regard to optical activity.
The straightening of the togglejoint when C is pushed forward forces A down to strike the coin.
The stream lines xBAJ, xA'J' are given by = 0, m; so that if c denotes the ultimate breadth JJ' of the jet, where the velocity may be supposed uniform and equal to the skin velocity Q, m=Qc, c=m/Q.
The substance whose volume is to be determined is placed in the cup PE, and the tube PC is immersed in the vessel of mercury D, until the mercury reaches the mark P. The plate E is then placed on the cup, and the tube PC raised until the surface of the mercury in the tube stands at M, that in the vessel D being at C, and the height MC is measured.
The summit C of the branch BCD occurs at a percentage exactly corresponding to the formula Hg 2 T1.
The symbol G was a new coinage in the 3rd century B.C. The pronunciation of C throughout the period of classical Latin was that of an unvoiced guttural stop (k).
The test bar C C, which slides through holes bored in the yoke, is divided near the middle into two parts, the ends which come into contact being faced true and square.
The theory of valency as a means of showing similarity of properties and relative composition became a dominant feature of chemical theory, the older hypotheses of types, radicals, &c.
The transformer T has its secondary or high-pressure terminals connected to spark balls S1, which are also connected by a circuit consisting of a large glass plate condenser C, and the primary circuit of an air-core transformer called an oscillation transformer.
The tranverse electromotive force is equal to KCH/D, where C is the current, H the strength of the field, D the thickness of the metal, and K a constant which has been termed the rotatory power, or rotational coefficient.
The usual material of medieval stoles was silk, and the better ones were embroidered with silk, gold thread, pearls, &c.
The usual subdivision of branches in a great arsenal is into A, Storekeeping; B, Construction; C, Administration.
The uterus (X in figure C) begins in all cases at the shell gland (c, d) and may exhibit a swelling (R S) for the retention of the spermatozoa..
The value of C for an annular aperture of radius r and width dr is thus dC =271-Jo(Pp)pdp, (12).
The value of the angular coefficient d(pv)/dp is evidently (b - c), which expresses the defect of the actual volume v from the ideal volume Re/p. Differentiating equation (17) at constant pressure to find dv/do, and observing that dcldO= - nc/O, we find by substitution in (is) the following simple expression for the cooling effect do/dp in terms of c and b, Sdo/dp= (n+I)c - b..
The value of the co-aggregation volume, c, at any temperature, assuming equation (17), may be found by observing the deviations from Boyle's law and by experiments on the Joule-Thomson effect.
The vestries and district boards became the authorities for local drainage, paving, lighting, repairing and maintaining streets, and for the removal of nuisances, &c.
The wave from D has travelled to a circle of radius nearly equal to DF, that from C to a circle of radius nearly CF, and so on.
The yoke has two projecting pieces C, C' at unequal distances from the knife-edges, and separated from the blocks B, B' by narrow air-gaps.
Their object may be (a) to provide a guide to the other world; (b) to provide the dead with servants or a retinue suitable to his rank; (c) to send messengers to keep the dead informed of the things of this world; (d) to strengthen the dead by the blood or life of a living being, in the same way that food is offered to them or blood rituals enjoined on mourners.
Then 4, =o over the cylinder r = a, which may be considered a fixed post; and a stream line past it along which 4, = Uc, a constant, is the curve (r - ¢2) sin 0=c, (x2 + y2) (y - c) - a 2 y = o, (3) a cubic curve (C3).
Then come the glandular surface (C), which is formed of smooth polished epidermis with numerous glands that secrete the fluid contents of the pitcher, and finally the detentive surface (D), of which the cells are produced into long and strong bristles which point A FIG.
Then the moment at C due to all the loads is M = Ply1+ P 2y2+ .
Then w 3 = (w l +w 2)1 2 /(Cds-1 2) = (w i -Fw 2)lr/ (Cs -lr), where C is a constant for any type of girder.
Then, if we take ordinates Kb, Lg, Mc, Nd, Pf, equal to B'B, GG', C'C, D'D, FF', the figure abgcdfe will be the equivalent trapezoid, and any ordinate drawn from the base to the a LM N P e X top of this trapezoid will be equal to the portion of this ordinate (produced) which falls within the original figure.
Then, since nr rl is also a rational integral function of n of degree r, we can find a coefficient c r, not containing n, and such as to make N-c r nr ri contain no power of n higher than n r - 1.
There are also branches which deal with the census of production, labour exchanges, &c.
There C are no important industries, except a few flour-mills, some glass works, iron foundries, a motor car factory, straw hat factories, and power-houses supplying electricity for lighting and for the numerous tramcars.
There is a tendency towards the fostering of feminine home industrieslace-making, linen-weaving, &c.
There is trade in agricultural produce, wine, metals, &c. The canal from the Rhone to the Rhine passes under the citadel by way of a tunnel, and the port of Besancon has considerable trade in coal, sand, &c.
There is trade in walnuts, walnut-oil, silk, cattle, &c.
These compounds closely resemble the trichloride in their methods of preparation and their properties, forming oxyhaloids with water, and double compounds with ammonia, &c.
These discoveries of Geoffroy and Scheele formed the basis of Chevreul's researches by which he established the constitution of oils and the true nature of soap. In the article Oils it is pointed out that all fatty oils and fats are mixtures of glycerides, that is, of bodies related to the alcohol glycerin C 3H5(OH)3 i and some fatty acid such as palmitic acid (C 16 H 31 0 2)H.
These formulae are supported by many considerations, especially by the selective CH 2 OH CH20H CH OH CH OH C C H O
These magnates played a considerable part in the politics of south-eastern Europe; see especially their correspondence with the Venetian Republic, given by Shafarik, Acta archivi Veneti, &c.
These may be compared and contrasted with such quaternion formulae as S(VabVcd) =SadSbc-SacSbd dSabc = aSbcd - bScda+cSadb where a, b, c, d denote arbitrary vectors.
These relations may be readily tested, for the ratio C p /C„ is capable of easy experimental determination.
They are (a+b)-?-c=a+(b+c) (A) (aXb)Xc=aX(bXc) (A') a+b=b+a (c) aXb=bXa (c') a(b c) =ab-Fac (D) (a - b)+b=a (I) (a=b)Xb=a (I') These formulae express the associative and commutative laws of the operations + and X, the distributive law of X, and the definitions of the inverse symbols - and =, which are assumed to be unambiguous.
They occur (a) in crystalline igneous and metamorphic rocks as an original constituent, (b) in veins associated with igneous rocks, and (c) in sedimentary rocks either as organic fragments or in secondary concretionary forms.
Thirteen years later, in 1617, after numerous border fights with the Chinese, Nurhachu drew up a list of ` c seven hates," or indictments, against his southern neighbours, and, not getting the satisfaction he demanded, declared war against them.
This acid with silver nitrite gave nitroacetic acid, which readily gave the second nitromethane, CH a (NO 2) b H c H d, identical with the first nitromethane.
This c and common cross fertilization is often effected by the gland g.
This class of c coal burns with a very small amount of flame, produc ing intense local heat and no smoke.
This compound is readily oxidized to benzoic acid, C 6 H 5 000H, the aromatic residue being unattacked; nitric and sulphuric acids produce nitro-toluenes, C6H4 CH3 N02j and toluene sulphonic acids, C 6 H 4 CH 3 SO 3 H; chlorination may result in the formation of derivatives substituted either in the aromatic nucleus or in the side chain; the former substitution occurs most readily, chlor-toluenes, C 6 H 4 CH 3 Cl, being formed, while the latter, which needs an elevation in temperature or other auxiliary, yields benzyl chloride, C 6 H 5 CH 2 C1, and benzal chloride, C 6 11 5 CHC1 2.
This derangement being carefully noted, another bore to the outcrop on the same principle is put down for the purpose of proving the seam C; the nature of the strata at first is found to agree with the latter part of that bored through in No.
This enactment applies to leases of agricultural subjects, houses, mills, fisheries and whatever is fundo annexum; provided that (a) the lease, when for more than one year, must be in writing, (b) it must be definite as to subject, rent (which may consist of money, grain or services, if the reddendum is not illusory) and term of duration, (c) possession must follow on the lease.
This evidence is confirmed by (a) the canon of Theodore of Edessa (800) allowing metropolitans of China, India and other distant lands to send their reports to the catholikos every six years; (b) the edict of Wu Tsung destroying Buddhist monasteries and ordering 300 foreign priests to return to the secular life that the customs of the empire might be uniform; (c) two 9th-century Arab travellers, one of whom, Ibn Wahhab, discussed the contents of the Bible with the emperor; (d) the discovery in 1725 of a Syrian MS. containing hymns and a portion of the Old Testament.
This inquiry is further complicated by (c), where the history of Israel and Judah, as related in Judges and I Samuel, has caused endless perplexity.
This is done by the little crank B on the axle of the fly-wheel, acting through the rod C, and the bent lever D, which forms a toggle-joint at E with the vertical piece of metal below it.
This last circuit has a natural frequency of its own which is numerically measured by I/27r-!(CL), where C is the capacity of the condenser and L is the inductance of the circuit.
This last substance may be reduced to mesoporphyrin, C34H3804N4, which by further reduction gives haemopyrrol, C 8 11 13 N, possibly methyl-propyl-pyrrol or butyl-pyrrol.
This simple result is generally true, and the corresponding expressions for G" and J" are valid, provided that c - b in formula (17) is a function of the temperature only.
Three such compounds are possible according to the number of valencies acting directly between the carbon atoms. Thus, if they are connected by one valency, and the remaining valencies saturated by hydrogen, we obtain the compound H 3 C CH 3, ethane.
Thus a(b+c) and (b+c)a give the same result, though it may be written in various ways, such as abdac, ca+ab, &c. In the same way the associative law is that A(BC) and (AB)C give the same formal result.
Thus b"c"' and b'bc" have each 66 beats per second, yet the former is more dissonant than the latter.
Thus benzene, (CH) gives thiophene, (CH) S, from which it is difficultly distinguished; pyridine, (CH) N, gives thiazole, (CH) N S, which is a very similar substance; naphthalene gives thionaphthen, C 11 S, with which it shows great analogies, especially in the derivatives.
Thus Bionomics is treated in such articles as Evolution, Heredity, Variation, Mendelism, Reproduction, Sex, &C.; Zoo-dynamics under Medicine, Surgery, Physiology, Anatomy, Embryology, and allied articles; Plasmology under Cytology, Protoplasm, &C.; and Philosophical Zoology under numerous headings, Evolution, Biology, &C. See also Zoological Distribution, Palaeontology, Ocranography, Microtomy, &C.
Thus if the magnet is suspended horizontally by a fine wire, which, when the magnetic axis points north and south, is free from torsion, and if 0 is the angle through which the upper end of the wire must be twisted to make the magnet point east and west, then MH = CB, or M = C6/H, where C is the torsional couple for r 0.
Thus if we consider the energyequation C +02 = CO 2+943 00 cal., and replace the symbols by the values of the intrinsic energy, viz.
Thus in cows' butter, tributyrin, C 3 H 5 (O C 4 H 7 0) 3, and the analogous glycerides of other readily volatile acids closely resembling butyric acid, are present in small quantity; the production of these acids on saponification and distillation with dilute sulphuric acid is utilized as a test of a purity of butter as sold.
Thus in Lithospermum the nutlets are hard like a stone, in Myosotis usually polished, in Cynoglossum covered with bristles, &c.
Thus in the tri-substitution derivatives six isomers, and no more, are possible when two of the substituents are alike; for instance, six diaminobenzoic acids, C 6 H 3 (NH 2) 2 000H, are known; when all are unlike ten isomers are possible; thus, ten oxytoluic acids, C 6 H 3 -CH 3.
Thus Norman-French spelt its palatalized c-sound (= tsh) with ch as in cher and the English palatalized cild, &c. became child, &c. In Provençal from the 10th century, and in the northern dialects of France from the 13th century, this palatalized c (in different districts is and tsh) became a simple s.
Thus the interval b'c" with frequencies 495 and 528, giving 33 beats in a second, is very dissonant.
Thus the radical of acetic acid, acetyl,' was C 2 H 3 C 2.
Thus we shall call the first inclined line on the left hand the line AG, the line representing the first force on the top left-hand joint AB, the first horizontal member at the top left hand the line BH, etc. similarly each point requires at least three letters to denote it; the top first left-hand joint may be called Abhg, being the point where these four spaces meet.
Thus, he interpreted the interaction of benzene and nitric acid as C6H61-HN03 = C 6 H 5 NO 2 +H 2 0, the "residues" of benzene being C 6 H 5 and H, and of nitric acid HO and N02.
Thus, suppose a fundamental 256 has present with it overtone harmonics 512, 768, 1024, 1280, &c., and that we sound with it the major seventh with fundamental 480, and having harmonics 960, 1440, &c. The two sets may be arranged thus c 256 512 768 1024 1280 h 480 960 1440, and we see that the fundamental of the second will beat 32 times per second with the first overtone of the first, giving dissonance.
To it belong (a) superficial grooves or deeper slits situated on the integument near the tip of the head, (b) nerve lobes in immediate connexion with the nervous tissue of the brain, and (c) ciliated ducts penetrating into the latter and communicating with the former.
To many Japanese observers i seemed that the restoration of 1867 had merely transferred the ad ministrative authority from the Tokugawa Shogun to the clans c Satsuma and ChOshC. The KOko Shimbun severely attacked th two clans as specious usurpers.
To reduce these figures to a common standard, so that the volumes shall contain equal numbers of molecules, the notion of molecular volumes is introduced, the arbitrary values of the crystallographic axes (a, b, c) being replaced by the topic parameters' (x, ?i, w), which are such that, combined with the axial angles, they enclose volumes which contain equal numbers of molecules.
To use the apparatus, the long tube is placed in a vapour bath (c) of the requisite temperature, and after the air within the tube is in equilibrium, the delivery tube is placed beneath the surface of the water in a pneumatic trough, the rubber stopper pushed home, and observation made as to whether any more air is being expelled.
To use this line to investigate the maximum moment at C due to a series A D ' C'i iE..
Trade is carried on in flax, cloth, cereals, oilseeds, &c.
Tradition ascribes the origin of the drama to a religious dance of a panto- Th D mimic character, called Kagura and associated with C raffia.
Triacetin, C 3 H 5 (O C 2 H 3 0) 3, is apparently contained in cod-liver oil.
Under the law prior to the act of 1889 (a) an agreement to refer disputes generally, without naming the arbitrators, was always irrevocable, and an action lay for the breach of it, although the court could not compel either of the parties to proceed under it; (b) an agreement to refer to a particular arbitrator was revocable, and if one of the parties revoked that particular arbitrator's authority he could not be compelled to submit to it; (c) when, however, the parties had got their tribunal fixed, and were proceeding to carry out the agreement to refer, the act 9 and io Will.
Use hot bottles and stimulants, especially trying to counteract the cardiac depression by atropine, caffeine, strophanthin, &c.
We can see that (abc)a x b x c x is not a covariant, because it vanishes identically, the interchange of a and b changing its sign instead of leaving it unchanged; but (abc) 2 is an invariant.
We cannot, for instance, say that the fraction C _2 I is arithmetically equal to x+I when x= I, as well as for other values of x; but we can say that the limit of the ratio of x 2 - I to x - I when x becomes indefinitely nearly equal to I is the same as the limit of x+ On the other hand, if f(y) has a definite and finite value for y = x, it must not be supposed that this is necessarily the same as the limit which f (y) approaches when y approaches the value x, though this is the case with the functions with which we are usually concerned.
We shall treat only of the diatonic scale, which is the basis of European music, and is approximated to as closely as is consistent with convenience of construction in key-board instruments, such as the piano, where the eight white notes beginning with C and ending with C an octave higher may be taken as representing the scale with C as the key-note.
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.
When a z and the invariants B and C all vanish, either A or j must vanish; in the former case j is a perfect cube, its Hessian vanishing, and further f contains j as a factor; in the latter case, if p x, ax be the linear factors of i, f can be expressed as (pa) 5 f =cip2+c2ay; if both A and j vanish i also vanishes identically, and so also does f.
When boiled with calcium chloride and ammonia, salicylic acid gives a precipitate of insoluble basic calcium salicylate, C 6 H 4 ‹ 0 2 i Ca, a reaction which serves to distinguish it from the isomeric metaand para-hydroxybenzoic acids.
When C vanishes j has the form j = pxg x, and (f,j) 3 = (ap) 2 (aq)ax = o.
When solid caoutchouc is strongly heated it breaks down, without change in its ultimate composition, into a number of simpler liquid hydrocarbons of the terpene class (dipentene, di-isoprene, isoprene, &c.), of which one, isoprene (C5H8), is of simpler structure than oil of turpentine (C 10 H 16), from which it can also be obtained by the action of an intense heat.
When the displacement is represented by AH'BK'C the particles on each side of B are displaced from it, giving an extension, and since the slope is again the steepest, the extension is a maximum.
When the liquid is bounded externally by the fixed ellipsoid A = A I, a slight extension will give the velocity function 4 of the liquid in the interspace as the ellipsoid A=o is passing with velocity U through the confocal position; 4 must now take the formx(1'+N), and will satisfy the conditions in the shape CM abcdX ¢ = Ux - Ux a b x 2+X)P Bo+CoB I - C 1 (A 1 abcdX, I a1b1cl - J o (a2+ A)P and any'confocal ellipsoid defined by A, internal or external to A=A 1, may be supposed to swim with the liquid for an instant, without distortion or rotation, with velocity along Ox BA+CA-B 1 -C1 W'.
When the load is at F', the reaction at B' is m/l and the moment at C' is m(l-x)ll, which will be reckoned positive, when it resists a tendency of the right-hand part of the girder to turn counter-clockwise.
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, as in the application to rectangular or circular apertures, the form is symmetrical with respect to the axes both of x and y, S = o, and C reduces to C = ff cos px cos gy dx dy,.
While moving vehicles by capstans, turn tables, props, levers, &c...
With ammonia, benzaldehyde does not form an aldehyde ammonia, but condenses to hydrobenzamide, (C 6 H 5 CH) 3 N 2, with elimination of water.
Women's settlements probably are more general in the United States than in Great Britain; but in both countries they carry out a great variety of useful work, providing medical mission dispensaries, district nurses, workrooms for needle-women, hospitals for women and children, &c.
Zootechnic products include food, clothing, ornaments, habitations, weapons, industrial tools, textiles, money, &c.