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ox

When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2 Ui +VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2 Uib.2bz a2); (20) and over r =b Xi= fp?

349Now, if you acquire an ox, a new source of energy, you can plow more.

3417In outlying districts post carts and ox wagons are the usual means of conveyance.

3111In outlying districts post carts and ox wagons are the usual means of conveyance.

3011I would rather ride on earth in an ox cart, with a free circulation, than go to heaven in the fancy car of an excursion train and breathe a malaria all the way.

2011I've heard of Musk Ox, but Musk hogs?

2013If an ox were his property, and he wished to get needles and thread at the store, he thought it would be inconvenient and impossible soon to go on mortgaging some portion of the creature each time to that amount.

1611The simplest form to which the quartic is in general reducible is +6mxix2+x2, involving one parameter m; then Ox = 2m (xi +x2) +2 (1-3m2) x2 ix2; i = 2 (t +3m2); j= '6m (1 - m) 2; t= (1 - 9m 2) (xi - x2) (x21 + x2) x i x 2.

144The simplest form to which the quartic is in general reducible is +6mxix2+x2, involving one parameter m; then Ox = 2m (xi +x2) +2 (1-3m2) x2 ix2; i = 2 (t +3m2); j= '6m (1 - m) 2; t= (1 - 9m 2) (xi - x2) (x21 + x2) x i x 2.

144The horse is hardly known, and his place is taken by the ox, which is regularly bridled and saddled and ridden with all dignity.

145Other forms are n-1 n-2 2 ax +nbx x +n(n-i)cx x +..., 1121 2 the binomial coefficients C) being replaced by s!(e), and n 1, n-1 1 n-2 2 ax 1 +l i ox l 'x 2 + L ?cx 1 'x2+..., the special convenience of which will appear later.

103The ass had been introduced into the ritual of the church in the 9th century, representing either Balaam's ass, that which stood with the ox beside the manger at Bethlehem, that which carried the Holy Family into Egypt, or that on which Christ rode in triumph into Jerusalem.

94He was responsible for all care, must restore ox for ox, sheep for sheep, must breed them satisfactorily.

96The owner of an ox which gored a man on the street was only responsible for damages if the ox was known by him to be vicious, even if it caused death.

84The chief domestic animals are the camel, horse, ass, ox, buffalo (used both as a beast of burden and for riding), sheep with a short silky fleece, the goat and the pig, which last here reaches its southernmost limit.

84The owner of an ox which gored a man on the street was only responsible for damages if the ox was known by him to be vicious, even if it caused death.

84It has been stated on good evidence that a loss of £7,000,000 per annum was caused by the attack of the ox warble fly on cattle in England alone.

71Thus if d,/ is the increase of 4, due to a displacement from P to P', and k is the component of velocity normal to PP', the flow across PP' is d4 = k.PP'; and taking PP' parallel to Ox, d,, = vdx; and similarly d/ ' = -udy with PP' parallel to Oy; and generally d4,/ds is the velocity across ds, in a direction turned through a right angle forward, against the clock.

71GAYAL, a domesticated ox allied to the Gaur, but distinguished, among other features, by the more conical and straighter horns, and the straight line between them.

72GAUR, the native name of the wild ox, Bos (Bibos) gaurus, of India, miscalled bison by sportsmen.

72Kohlrausch has prepared water of which the conductivity compared with that of mercury was only o 4 oX 11 at 18° C. Even here some little impurity was present, and the conductivity of chemically pure water was estimated by thermodynamic reasoning as o 36X1011 at 18° C. As we shall see later, the conductivity of very dilute salt solutions is proportional to the concentration, so that it is probable that, in most cases, practically all the current is carried by the salt.

72Of animal pests the ox warbles (Hypoderma lineata and H.

74E, Chromosomes ox the spindle.

75Its original shape seems to have been an irregular oblong bar, which was stamped with the figure of a sheep, ox or sow.

61The most important of the animal fats are those of the ox and hog, and of the vegetable oils cotton-seed and coco-nut; it is also to be remembered that resin, although not a fat, is also important in soap-making.

61Ox and sheep tallow, with the addition of resin, are the primary materials for making the hard yellow or primrose soaps; these tallows are often adulterated.

61If they fall on pasture land or fodder of any kind and are eaten by any herbivorous animal, such as a hare, rabbit, horse, sheep or ox, the active embryos or larvae are set free in the alimentary canal of the new host.

61The wild animals of Cambodia include the elephant, which is also domesticated, the rhinoceros, buffalo and some species of wild ox; also the tiger, panther, leopard and honey-bear.

61For it is easy to establish] the formula (yx) 2 0 4 = 2f.4-2(f y 1) 2 connecting the Hessian with the quartic and its first and second polars; now a, a root of f, is also a root of Ox, and con se uentl the first polar 1 of of q y p f?

61Motion symmetrical about an Axis.-When the motion of a liquid is the same for any plane passing through Ox, and lies in the plane, a function ' can be found analogous to that employed in plane motion, such that the flux across the surface generated by the revolution of any curve AP from A to P is the same, and represented by 2s-4 -11'o); and, as before, if d is the increase in due to a displacement of P to P', then k the component of velocity normal to the surface swept out by PP' is such that 274=2.7ryk.PP'; and taking PP' parallel to Oy and Ox, u= -d/ydy, v=dl,t'/ydx, (I) and 1P is called after the inventor, " Stokes's stream or current function," as it is constant along a stream line (Trans.

61Its original shape seems to have been an irregular oblong bar, which was stamped with the figure of a sheep, ox or sow.

61The most important of the animal fats are those of the ox and hog, and of the vegetable oils cotton-seed and coco-nut; it is also to be remembered that resin, although not a fat, is also important in soap-making.

61Ox and sheep tallow, with the addition of resin, are the primary materials for making the hard yellow or primrose soaps; these tallows are often adulterated.

61The wild animals of Cambodia include the elephant, which is also domesticated, the rhinoceros, buffalo and some species of wild ox; also the tiger, panther, leopard and honey-bear.

61For it is easy to establish] the formula (yx) 2 0 4 = 2f.4-2(f y 1) 2 connecting the Hessian with the quartic and its first and second polars; now a, a root of f, is also a root of Ox, and con se uentl the first polar 1 of of q y p f?

61The devil-worshippers, at their sacrifices, slay the ox; and this the daevas favour, for they are foes to the cattle and to cattlebreeding, and friends to those who work ill to the cow.

52The devil-worshippers, at their sacrifices, slay the ox; and this the daevas favour, for they are foes to the cattle and to cattlebreeding, and friends to those who work ill to the cow.

52The ox and the ass were used for labour.

371a i ox +...

23But the trade over berg largely developed on the dis covery of the Kimberley diamond mines, and the progress of the country was greatly promoted by the substitution of the railway for the ox wagon as a means of transport.

23BANTIN, or BANTING, the native name of the wild ox of Java, known to the Malays as sapi-utan, and in zoology as Bos (Bibos) sondaicus.

12Uniplanar Motion of a Liquid due to the Passage of a Cylinder through it.-A stream-function 4, must be determined to satisfy the conditions v24 =o, throughout the liquid; (I) I =constant, over any fixed boundary; (2) d,t/ds = normal velocity reversed over a solid boundary, (3) so that, if the solid is moving with velocity U in the direction Ox, d4y1ds=-Udy/ds, or 0 +Uy =constant over the moving cylinder; and 4,+Uy=41' is the stream function of the relative motion of the liquid past the cylinder, and similarly 4,-Vx for the component velocity V along Oy; and generally 1,1'= +Uy -Vx (4) is the relative stream-function, constant over a solid boundary moving with components U and V of velocity.

12BANTIN, or BANTING, the native name of the wild ox of Java, known to the Malays as sapi-utan, and in zoology as Bos (Bibos) sondaicus.

12- A, Ox Bot Maggot; B, puparium; C, Ox Warble Fly (Hypoderma bovis).

13An angular velocity R, which gives components - Ry, Ix of velocity to a body, can be resolved into two shearing velocities, -R parallel to Ox, and R parallel to Oy; and then ik is resolved into 4'1+1'2, such that 4/ 1 -R-Rx 2 and 1//2+IRy2 is constant over the boundary.

13Lots of spunk and stubborn as an ox.

00An unwarranted seizure for debt was fined, as was the distraint of a working ox.

00The importance of the bounding line of the graph lies in the fact that we can keep it unaltered while we alter the graph as a whole by moving OX up or down.

00If the liquid is reduced to rest at infinity by the superposition of an opposite stream given by w = - Uz, we are left with w = Ua2/z, (6) =U(a 2 /r) cos 0= Ua2x/(x2+y2), (7) 4, = -U(a 2 /r) sin 0= -Ua2y/( x2+y2), (8) giving the motion due to the passage of the cylinder r=a with velocity U through the origin 0 in the direction Ox.

00l ' so that over the surface of an ellipsoid where X and ¢ are constant, the normal velocity is the same as that of the ellipsoid itself, moving as a solid with velocity parallel to Ox U = -q, - 2 (a2+X) dtP, and so the boundary condition is satisfied; moreover, any ellipsoidal surface X may be supposed moving as if rigid with the velocity in (I I), without disturbing the liquid motion for the moment.

00Denoting the effective inertia of the liquid parallel to Ox by aW' the momentum aW'U = 4)0W' (24) _ U i -AO' 25) in this way the air drag was calculated by Green for an ellipsoida pendulum.

00When 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'.

00Taking Ox along OS, the Stokes' function at P for the source S is p cos PSx, and of the source H and line sink OH is p(a/f) cos PHx and - (p/a) (PO - PH); so that = p (cos PSx+f cos PHx PO a PH), (q) and Ili = -p, a constant, over the surface of the sphere, so that there is no flow across.

00When S and S' lie on the same radius, taken along Ox, the Stokes' function can; be written down; and when S and S' coalesce a doublet is produced, with a doublet image at H.

00As before in § 31, the rotation may be resolved into a shear-pair, in planes perpendicular to Ox and Oy.

00These equations are proved by taking a line fixed in space, whose direction cosines are 1, then dt=mR-nQ,' d'-t = nP =lQ-mP. (5) If P denotes the resultant linear impulse or momentum in this direction P =lxl+mx2+nx3, ' dP dt xl+, d y t x2' x3 +1 dtl dt 2 +n dt3, =1 ('+m (dt2-x3P+x1R) ' +n ('-x1Q-{-x2P) ' '= IX +mY+nZ, / (7) for all values of 1, Next, taking a fixed origin and axes parallel to Ox, Oy, Oz through 0, and denoting by x, y, z the coordinates of 0, and by G the component angular momentum about 1"2 in the direction (1, G =1(yi-x2z+x3y) m 2-+xlz) n(y(y 3x 1 x3x y + x 2 x) (8) Differentiating with respect to t, and afterwards moving the fixed.

00As the ring is moved from 0 to 0' in time t, with velocity Q, and angular velocity R, the components of liquid momentum change from aM'U +E and SM'V along Ox and Oy to aM'U'+ and /3M'V' along O'x' and O'y', (I) the axis of the ring changing from Ox to O'x'; and U = Q cos 0, V = Q sin 0, U' =Q cos (o - Rt), V' =Q sin (0 - Rt), (2) so that the increase of the components of momentum, X 1, Y 1, and N1, linear and angular, are X 1 = (aM'U'+ 0 cos Rt - aM'U - - 1 3M'V' sin Rt =(a - (3)M'Q sin_(0 - Rt) sin Rt - ver Rt (3) Y 1 = (aM'U'+) sin Rt-[-13M'V' cos Rt - (3M'V = (a - (3) M'Q cos (0 - Rt) sin Rt +t sin RT, N1=[ - (aM'U'+E) sin (0 - Rt)+ 1 3M'V' cos (o - Rt)]OO' = [- (a - 1 3) M'Q cos (o - Rt) sin (o - Rt) - sin (o - Rt) ]Qt.

00BOVIDAE, the name of the family of hollow-horned ruminant mammals typified by the common ox (Bos taurus), and specially characterized by the presence on the skulls of the males or of both sexes of a pair of bony projections, or cores, covered in life with hollow sheaths of horn, which are never branched, and at all events after a very early stage of existence are permanently retained.

00The [ox's] horns are of nearly equal size in both sexes, are placed on or near the vertex of the skull, and may be either rounded or angulated, while their direction is more or less outwards, with an upward direction near the tips, and conspicuous knobs or ridges are never developed on their surface.

00The diameter ox the outer crater, within which rises the modern cone to a height of 500 ft.

00Domestic animals have for representatives the horse (uma), a small beast with little beauty of form though possessing much hardihood and endurance; the ox (ushs)~mainly a beast of burden or draught; the pig (buta), very occasionally; the dog (mu), an unsightly and useless brute; the cat (neko), with a stump in lieu of a tail; barndoor fowl (niwa-tori), ducks (ahiro) and pigeons (hato).

00and their Japanese followers could be admirably and minutely accurate when they pleased; but too many of the latter were content to construct their pictures out of fragmentary reminiscences of ancient Chinese masterpieces, not presuming to see a rock, a tree, an ox, or a human figure, except through Chinese spectacles.

00They were often Vehkles constructed of rich lacquer; the curtains suspended in front were of the finest bamboo workmanship, with thick cords and tassels of plaited silk, and the draught animal, an ox of handsome proportions, was brilliantly caparisoned.

00The demons carry on conflicts with each of the six classes of creation, namely, the sky, water, earth, plants, animals represented by the primeval ox, and mankind represented by Gayomard or Kayumarth (the "first man "of the Avesta).

00YAK, the wild (and domesticated) ox of the Tibetan plateau; a species nearly allied to the bison group. The yak, Bos (POephagus) grunniens, is one of the finest and largest of the wild oxen, characterized by the growth of long shaggy hair on the flanks and under parts of the body and the well-known bushy tail.

00The title of "grunting ox" properly belongs only to the domesticated breed.

00The priests were the Arval Brothers, who conducted the victims - ox, sheep and pig (suovetaurilia) - in procession with prayer to Ceres round the boundaries of the ager Romanus.

00Toil O€oX.

00In her haste she dropped her veil, which the lion tore to pieces with jaws stained with the blood of an ox.

00urus, the wild ox, and "ox") or Urus, the name of the extinct wild ox of Europe (Bos taurus primigenius), which after the disappearance of that animal became transferred to the bison.

00It has indeed been suggested that the figure of the aurochs was taken from a domesticated ox, but this is a mistaken idea.

00Not the least important feature of the work of Herberstein is the application of the name aurochs to the wild ox, as distinct from the bison.

00The great majority of antelopes, exclusive of the doubtful chamois group (which, however, will be included in the present article), are African, although the gazelles are to a considerable extent an Asiatic;'group. They include ruminants varying in size from a hare to an ox; and comprise about 150 species, although this number is subject to considerable variation according to personal views as to the limitations of species and races.

00On any line OX take a length ON equal to xG, and from N draw NP at right angles to OX and equal to uH; G and H being convenient units of length.

00Elements of the graph are shown from an axis through 0 and at right angles to OX.

00If this is done for every possible value of x, there will be a series of ordinates tracing out a trapezette with base along OX.

00In art, Oceanus was represented as an old man of noble presence and benevolent expression, with the horns of an ox and sometimes crab's claws on his head.

00Thus a push or a compression of the X air is transmitted onwards in the direction OX.

00Let OX (fig.

00Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.

00The earlier Dutch forms hukeshovet and hoekshoot are nearer to the English form, and, further, the Dutch for "ox" is os.

00The characteristic Chinese mode of dividing the "yellow road " of the sun was, however, by the twelve "cyclical animals " - Rat, Ox, Tiger, Hare, Dragon or Crocodile, Serpent, Horse, Sheep, Monkey, Hen, Dog, Pig.

00Thus, the second sign (of the Ox) occupies the position of Capricorn, the third that of Sagittarius, and so on.

00Shrove Tuesday is called the French Mardi gras, " Fat Tuesday," in allusion to the fat ox which is ceremoniously paraded through the streets.

00above sea-level, destitute of water, and tenanted only by the wild ox, the ostrich and the giraffe.

00The line of sight Ox, considered horizontal in range table results, may be inclined slightly to the horizon, as in shooting up or down a moderate slope, without appreciable modification of (28) and (29), and y or PM is still drawn vertically to meet OB in M.

004 (the law of the muzzled ox) is used to show that God's labourer is worthy of his hire.'

00This led to the explanation of the name as derived from the head of an ox having served as the galley's figurehead.

00Hephaestus made a man, Poseidon an ox, Pallas a house.

00Momus, being called upon to pronounce an opinion as to the merits of these productions, expressed dissatisfaction with all: with the man, because a window ought to have been made in his breast, through which his heart could be seen; with the ox, because its horns were in the wrong place; with the house, because it ought to have been portable, so as to be easily moved to avoid unpleasant neighbours.

00Coll., Ox.

00Montsioa's reply was short: " No one ever spanned-in an ass with an ox in one yoke."

00- Cattle are respected by many pastoral peoples; they live on milk or game, and the killing of an ox is a sacrificial function.

00In Europe the corn spirit sometimes immanent in the crop, sometimes a presiding deity whose life does not depend on that of the growing corn, is conceived in some districts in the form of an ox, hare or cock, in others as an old man or woman; in the East Indies and America the rice or maize mother is a corresponding figure; in classical Europe and the East we have in Ceres and Demeter, Adonis and Dionysus, and other deities, vegetation gods whose origin we can readily trace back to the rustic corn spirit.

0047, AB' =AO'-0B2=AX2+0X2-0P2; and OX 2 =OD 2 - DX 2 =0P 2 +PD 2 - DX 2.

00Beyond this to the north are the " barren grounds " on which herds of caribou (reindeer) and musk ox pasture, migrating from north to south according to the season.

00The larger animals of Canada are the musk ox and the caribou of the barren lands, both having their habitat in the far north; the caribou of the woods, found in all the provinces except in Price Edward Island; the moose, with an equally wide range in the wooded country; the Virginia deer, in one or other of its varietal forms, common to all the southern parts; the black-tailed deer or mule deer and allied forms, on the western edge of the plains and in British Columbia; the pronghorn antelope on the plains, and a small remnant of the once plentiful bison found in northern Alberta and Mackenzie, now called " wood buffalo."

00The schists and gneisses of the Ox Mountain axis also enter the county north of Castlebar.

00The price of a pig was twice, and that of an ox six times as great as that of a sheep. Regarding the prices of commodities other than live-stock we have little definite information, though an approximate estimate may be made of the value of arms. It is worth noticing that we often hear of payments in gold and silver vessels in place of money.

00Each of the "four living creatures" of Ezekiel and the Apocalypse has been attributed to each of the four evangelists in turn; Augustine and Bede think that Mark is designated by the "man"; Theophylact and others think that he is designated by the eagle; Anastasius Sinaita makes his symbol the ox; but medieval art acquiesced in the opinion of Jerome that he was indicated by the lion.

00Here in ancient times were found the oryx, addax, ibex, gazelle, bubale, ostrich, hyena and porcupine, more rarely the wild ox and wild sheep (0.

00The general effect cannot be judged without a large scene, but the figures of two men and an ox (Plate III.

00The animals chiefly hunted were the gazelle, ibex, oryx, stag, wild ox, wild sheep, hare and porcupine; also the ostrich for its plumes, and the fox, jackal, wolf, hyaena and leopard for their skins, or as enemies of the farm-yard.

004 seq., to care for one's enemy's ox or ass likewise refers to Israelites; Proverbs conceives the principle in a higher way and extends it beyond the limits of the nation.

00As a whole, the economic conditions implied are pastoral and agricultural, and are relatively primitive; and the general rudimentary character of the legal ideas appears in the death penalty for the goring ox (Exod.

00The ox tribe is represented in India by some of its noblest species.

00Heriot, the surrender of the best horse or ox, is also considered as the common incident of villein tenure, although, of course, its very name proves its intimate connexion with the outfit of soldiers (here-geatu).

00Hippopotamus, otter and the wild boar are numerous; a species of wild ox of small size with black horns and very agile is also found.

00The objects denoted by the other six names - ox, house, valve of a door, water, fish and mark or cross - clearly do not belong to any people in a nomadic state, but to a settled, town-abiding population..

00Adopting rectangular axes Ox, Oy, in the plane of, f~ the forces, arid distinguishing FIG the various forces of the system 4.

00These two forces X, Y, may be combined into a single resultant R making an angle 4> with Ox, provided X = Rcos4,, Y = Rsin4~, (2) whence R2 = X~ + Yi, tan 4) = Y I X.

00Hence P is equivalent to three forces P1, Pm, Pu acting Ff0- 5 along Ox, Oy, Oz, respectively, ~ where 1, m, n, are the direction- ratios of OH.

00Introducing at 0 two A, ~ equal and opposite forces y ~EXi in Ox, we see that Xi at A1 may be replaced by an ~ equal and parallel force at y, y1X1.

00or ï¿½l(X) along Ox, a force Vi + V1 +.

00If the forces are all parallel, making say an angle 0 with Ox, we may write Xi = Pi cos 0, Vi = P1 sin 0, Xi = P2 cos 0, VI = Pi sin 0,.

0037) can turn about a diameter OC of a ring which is itself free to turn about, a diametral axis OX at right angles to the former; this axis is carried by a second ring which is free to turn about a fixed diameter OZ, which is at right angles to OX.

00the positive directions of the axes are assumed to be so arranged that a positive rotation of 90 about Ox would bring Oy into the position of UI, and so on.

00From the equivalence of a small rotation to a localized vector it follows that the rotation ~ will be equivalent to rotations E,ii, ~ about Ox, Oy, Uz, respectively, provided = le, s1 = me, i nc (I) and we note that li+,72+l~Z~i (2)

00The displace ment of P parallel to Ox is the same K

00Next, introduce along Ox two equal and opposite forces r~X1.

00The force X1 in KH with X1 in Ox forms a couple about Oy, of moment z1Xi.

00Dealing in the same way with the forces Yi, Zi at P1, we find that all three components of the force at P1 can be transferred to 0, provided we introduce three couples L1, Mi, Ni about Ox, Oy, Oz respectively, viz.

00If we take rectangular axes Ox, Oy, of which Oy is drawn vertically upwards, we have y=sin ~ s, whence T=wy.

00P,, we draw any system of parallel planes meeting a straight line OX in the points Mi, M2,

00OP,, on OX.

00x,,, the sign being positive or negative according as the direction is that of OX or the reverse.

00The formula (16) expresses that the squared radius of gyration about any axis (Ox) exceeds the squared radius of gyration about a parallel axis through G by the square of the distance between the two axes.

00The above problem is identical with that of the oscillation of a particle in a smooth spherical bowl, in the neighborhood of the lowest point, If the bowl has any other shape, the axes Ox, Oy may, ..--7 be taken tangential to the lines tof curvature ~ / at the lowest point 0; the equations of small A motion then are dix xdiy (II) c where P1, P2, are the principal radii of curvature at 0.

00Ox) is equal to the moment of momentum of the motion relative to G about a parallel axis through G, together with the moment of momentum of the whole mass supposed ~j concentrated at G and moving with this point.

00(6) If we put ~, ~Y, s=o, the theorem is proved as regards axes parallel to Ox.

00that of Ox) is equal to the total extraneous force in that direction, and that the rate of change of the -angular momentum about any fixed axis is equal to the moment of the extraneous forces about that axis.

00Take, for example, the case of a sphere rolling on a plane; and let the axes Ox, Oy be drawn through the centre parallel to the plane, so that the equation of the latter is 1=cf.

00The moving axes Ox, Oy, 01 form a rigid frame of reference whose motion at time t may be specified by the three component angular velocities p, q, r.

00The components of angular momentum about Ox, Qy, 01 will be denoted as usual by X, u, v.

00Now consider a system of fixed axes Ox, Oy, Oz chosen so as to coincide at the instant I with the moving system Ox, Oy, Os.

00At the instant t+t, Ox, Oy, Os will no longer coincide with Ox, Oy, Os; in particular they will make with Ox angles whose cosines are, to the first order, I, rot, qOt, respectively.

00Hence the altered angular momentum about Ox will be X+OX+(is+Ou)(rOt)+ (v+Oe)qOt.

00If L, M, N be the moments of the extraneous forces about Ox, Oy, Os this must be equal to Xl--LOt.

00If we now apply them to the case of a rigid body moving about a fixed point 0, and make Ox, Oy, Oz coincide with the principal axes of inertia at 0, we have X, u, v=Ap, Bq, Cr, whence A (B C) qr = L,

00j To prove these, we may take fixed axes Ox, Oy, Oz coincident with the moving axes at time t, and compare the linear and angular momenta E+E, ~ ~ ?~+~X, u+u, v+~v relative to the new position of the axes, Ox, Oy, Oz at time t+t with the original momenta ~, ~ ~, A, j~i, v relative to Ox, Oy, Oz at time t.

00~ fOx Ox Oy Oy 31 Oz\ j 2

00Ox.

00whence 3~ Ox Also d fox\ 31x.

00123 and 124) is the following: If points X and x are taken dividing the link BC and the tangential velocity cb, sothat cx: xb=CX:XB, then Ox represents the velocity of the point X in magnitude and direction.

00Now let PT be a tangent to the curve at P, cutting OX in T; PT=PYXsecant obliquity, and this is to be a constant quantity; hence the curve is that known as the tractory of the straight line OX, in which PT = OR = constant, This curve is described by having a fixed straight edge parallel to OX, along which slides a slider carrying a pin whose centre is T.

00130), attached to a truly turned disk, be rotated by the shaft OX, and conceive that the shaft is held in a bearing at one point, 0.

00In order that OX may be a permanent axis it is necessary that there should ne a suffIcient number of weights attached to the shaft and so distributed that when each is referred to the point 0

00The plane through the radius of the weight containing the axis OX is railed the axial plane because it contains the forces forming the couple due to the transference of F to the reference plane.

00He had early trained himself in the art of speech-making, in the forest, the field and even the barn, with horse and ox for audience.

00As freighters for the Hudson's Bay Company many of these settlers made, with their ox or pony carts, the long journey over the natural prairie roads to Fort Garry, fording or swimming the streams, carrying furs for a thousand miles or more on the eastern trip, and returning brought loads of merchandise for the company.

00This prolific writer, having performed the pilgrimage to Mecca, devoted himself to a stern ascetic life, and to the composition of Sufic works, partly in prose, as in his valuable Biography of Eminent Mystic Divines, but mostly in the form of mathnawis (upwards of twenty in number), among which the Pandndma, or Book of Counsels, and the Mantili-uf (air, ox the Speeches of Birds, occupy the first rank.

00The gaur or wild ox is found at the base of the hills.

00Thus the " Celtic " ox (Bos longifrons), from remote ages the common type in the Alpine regions, is characterized by the height of its forehead above the orbits, by its highly-developed occipital region, and its small horns.

00We recognize indeed the sacramental meal and the sanctity of the ox; but the animal may have acquired this sanctity temporarily through contact with the altar; we need not suppose an ox-clan - the priest was merely, ovrns " the herdsman "- nor assume the permanent sanctity of the ox, nor the belief that the deity was permanently incarnate in the ox: the main parts of the ceremony can be explained as cattle-magic intended to appease the rest of the oxen or to prevent them suffering sympathetically through the death of one.

003) that Simon Magus had entertained the people of Antioch on a sacrificial ox, and so subjected them to the evil influence of demons.

00Among cattle the Sanga or Galla ox is the most common.

00In his household he spent "every fortnight 40 bushels of corn, 20 bushels of malt and an ox, besides a proportional quantity of other kinds of provisions."

001 30us, ox, TEï¿½vew, to cut, in allusion to leaves cutting the tongues of oxen feeding on them).

00This distinction between Logos as ratio and Logos as oratio, so much used subsequently by Philo and the Christian fathers, had been so far anticipated by Aristotle's distinction between the g w Xo'yos and the Xoyos iv rff Ox?j.

00It is then found both by experiment and by thermodynamic theory that in these amorphous radiations there is for each temperature a definite distribution of the energy over the spectrum according to a law which may be expressed by 0 5 0(OX)dX, between the wave-lengths X, A+dX; and as to the form of the function 4), Planck has shown (Sitzungsber.

00544) that an intelligible theory can be given which leads to the form j(OX) = c i /{exp(c 2 /A9) - I }, a form which agrees in a satisfactory way with all the experi ments.

00above sea-level - the Magdalena in the Laguna del Buey (Ox Lake) on the Las Papas plateau, and the Cauca a short distance westward in the Laguna de Santiago on the Paramo de Guanacas - and flow northward in parallel courses with the great Central Cordillera, forming the waterparting between their drainage basins.

00The remains of a gigantic ox, Bubalus Baini, have been obtained from the alluvium near the Modder river.

00The ox is very generally used as a draught animal in country districts remote from railways; sixteen or eighteen oxen being harnessed to a wagon carrying 3 to 4 tons.

00BUPHONIA, in Greek antiquities, a sacrificial ceremony, forming part of the Diipolia, a religious festival held on the 14th of the month Skirophorion (June - July) at Athens, when a labouring ox was sacrificed to Zeus Polieus as protector of the city in accordance with a very ancient custom.

00When it began to eat, one of the family of the Thaulonidae advanced with an axe, slew the ox, then immediately threw away the axe and fled.

00The axe, as being polluted by murder, was now carried before the court of the Prytaneum (which tried inanimate objects for homicide) and there charged with having caused the death of the ox, for which it was thrown into the sea.

00Although the slaughter of a labouring ox was forbidden, it was considered excusable in the exceptional circumstances; none the less it was regarded as a murder.

00Haemoglobin is extracted from the blood of an ox and may be administered in bolus form.

00heinsii), we find one moufflon (Musimon vignei), formerly known only in the Himalayas, the Chinese antelope (Antilope subgutturosa) and the saiga antelope in the steppe's, the Siberian ibex and another goat, the yak, the zebu or Indian ox, the common ox, the camel and the dromedary.

00The most conspicuous object in the forum of the Bous was the figure of an ox, in bronze, beside which the bodies of criminals were sometimes burnt.

00OX, strictly speaking, the Saxon name for the males of domesticated cattle (Bos taurus), but in a zoological sense employed so as to include not only the extinct wild ox of Europe but likewise bovine animals of every description, that is to say true oxen, bison and buffaloes.

00Remains of the wild ox or aurochs are abundant in the superficial deposits of Europe, Western Asia, and Northern Africa; those from the brick-earths of the Thames valley indicating animals of immense proportions.

00In the Pleistocene of India occurs a large ox (Bos namadicus), possibly showing some affinity with the Bibos group, and in the same formation are found remains of a buffalo, allied to, but distinct from the living Indian species.

00OX is the fixed initial,% line by which e directions are to be defined.

00(2) The angle XOQ which the projection of the radius vector upon the fundamental plane makes with the initial line OX.

00The initial line OX then passes through the foot of the perpendicular dropped from Greenwich upon the plane of the equator, and meets the surface at N.

00I, the initial line OX is defined as directed toward the vernal equinox, at which point it intersects the celestial sphere.

00The north-west highlands of Donegal and the Ox Mountains, with their axes of folding running north-east and south-west, invite comparison with the great chain of Leinster, but also with the Grampians and the backbone of Scandinavia.

00Similar rocks come up along the Ox Mountain axis, and occupy the wild west of Mayo and Connemara.

00On one side Prometheus arranged the best parts of the ox covered with offal, on the other the bones covered with fat, as the meat was covered in Homeric sacrifices.

00Lots of spunk and stubborn as an ox.

00I've heard of Musk Ox, but Musk hogs?

00His ox mates without fail; his cow calves and does not abort.

00does a wild donkey bray when it has grass, or an ox bellow when it has fodder?

00Or if you like, and can find them, you could use salt brisket, silverside or salted ox cheeks.

00In many parts of the world ox carts can exist alongside designer trainers, washing ells beside mobile phones.

00The hide of an Ox or Horse was the traditional skin, which covered the coracle.

00The hide being of ox or horse traditional of the welsh coracle and the Irish curragh.

00The captive ox was then driven in a fast gallop to the camp of the buyer.

00It says that he used an ox goad to slay these 600 Philistines.

00An ox goad was used by a farmer, or a farm laborer.

00horns of the male musk ox are larger than those of the female.

00musk ox along the south coast of Victoria Island.

00We continue on to Cape Sparbo on Devon Island for another tundra walk to archeological sites and chances to see musk ox.

00muzzle the ox that treadeth out the corn.

00That's what Paul said to Timothy: ' The scripture saith, thou shalt not muzzle the ox that treadeth out the corn.

00killing an ox = Good = The removal of enemies from your presence.

00A fat ox is a finer thing than a cheese, however good.

00NB: at this time ' stot ' was a two years old ox.

00ox goad was used by a farmer, or a farm laborer.

00ox yokes.

00ox carts can exist alongside designer trainers, washing ells beside mobile phones.

00ox cheeks.

00ox plows " (in other words, the direction of lay alternates from line to line ).

00ox tongue to simulate the loss of muscle tone.

00Past expeditions have had good luck finding musk ox along the south coast of Victoria Island.

00Post mortem examination revealed cause of death to be bowel perforation by a sharp sawn section of ox vertebra.

00plougheans " as the ox plows " (in other words, the direction of lay alternates from line to line ).

00Other ingredients might include set retardants such as hydrated lime, and fiber reinforcements such as straw and ox hair.

00Here are oxen for the burnt offering, and here are threshing sledges and ox yokes for the wood.

00straw like an ox, no longer a predator.

00threshing sledges and ox yokes for the wood.

00tip-off from a member of the public which led to the discovery on Park Farm, Ox Lane.

00In addition, tests were carried out on an ox tongue to simulate the loss of muscle tone.

00This is a good place to explore the tundra where musk ox is likely to roam.

00Along with extensive landscape photography we will also make an excursion onto the open tundra of Dovrefjell to photograph the truly impressive Musk Ox.

00tundra conditions, yet sufficient enough to support herds of wholly mammoth and musk ox en in the summer.

00Here are oxen for the burnt offering, and here are threshing sledges and ox yokes for the wood.

00He was responsible for all care, must restore ox for ox, sheep for sheep, must breed them satisfactorily.

00An unwarranted seizure for debt was fined, as was the distraint of a working ox.

00On the other hand carelessness and neglect were severely punished, as in the case of the unskilful physician, if it led to loss of life or limb his hands were cut off, a slave had to be replaced, the loss of his eye paid for to half his value; a veterinary surgeon who caused the death of an ox or ass paid quarter value; a builder, whose careless workmanship caused death, lost his life or paid for it by the death of his child, replaced slave or goods, and in any case had to rebuild the house or make good any damages due to defective building and repair the defect as well.

00E, Chromosomes ox the spindle.

00The chief domestic animals are the camel, horse, ass, ox, buffalo (used both as a beast of burden and for riding), sheep with a short silky fleece, the goat and the pig, which last here reaches its southernmost limit.

00Then the hide was stuffed with grass and yoked to a plough; the participants were charged with ox murder and each laid the blame on the other; finally the axe was thrown into the sea.

00The ox and the ass were used for labour.

00It has been stated on good evidence that a loss of £7,000,000 per annum was caused by the attack of the ox warble fly on cattle in England alone.

00Of animal pests the ox warbles (Hypoderma lineata and H.

00- A, Ox Bot Maggot; B, puparium; C, Ox Warble Fly (Hypoderma bovis).

00The ass had been introduced into the ritual of the church in the 9th century, representing either Balaam's ass, that which stood with the ox beside the manger at Bethlehem, that which carried the Holy Family into Egypt, or that on which Christ rode in triumph into Jerusalem.

00If they fall on pasture land or fodder of any kind and are eaten by any herbivorous animal, such as a hare, rabbit, horse, sheep or ox, the active embryos or larvae are set free in the alimentary canal of the new host.

00The horse is hardly known, and his place is taken by the ox, which is regularly bridled and saddled and ridden with all dignity.

00GAYAL, a domesticated ox allied to the Gaur, but distinguished, among other features, by the more conical and straighter horns, and the straight line between them.

00GAUR, the native name of the wild ox, Bos (Bibos) gaurus, of India, miscalled bison by sportsmen.

00Kohlrausch has prepared water of which the conductivity compared with that of mercury was only o 4 oX 11 at 18Ã‚° C. Even here some little impurity was present, and the conductivity of chemically pure water was estimated by thermodynamic reasoning as o 36X1011 at 18Ã‚° C. As we shall see later, the conductivity of very dilute salt solutions is proportional to the concentration, so that it is probable that, in most cases, practically all the current is carried by the salt.

001a i ox +...

00Other forms are n-1 n-2 2 ax +nbx x +n(n-i)cx x +..., 1121 2 the binomial coefficients C) being replaced by s!(e), and n 1, n-1 1 n-2 2 ax 1 +l i ox l 'x 2 + L ?cx 1 'x2+..., the special convenience of which will appear later.

00We have cos w' = cos w = o and the substitution x 1 =cos OX, -sin 0(2 x 2 = sin OX i +cos 6X2, with modulus unity.

00The direction of F is given by the following construction: Trisect OP at C, so that OC =OP/3; draw CD at right angles to OP, to cut the axis produced in D; then DP will be the direction of the force at P. For a point in the axis OX, 0 =0; therefore cos 0 = 1, and the point D coincides with C; the magnitude of the force is, from (14), Fx=2M / r3, (15) its direction being along the axis OX.

00But the trade over berg largely developed on the dis covery of the Kimberley diamond mines, and the progress of the country was greatly promoted by the substitution of the railway for the ox wagon as a means of transport.

00We take a fixed line OX, usually drawn horizontally; for each value of X we measure a length or abscissa ON equal to x.L, and draw an ordinate NP at right angles to OX and equal to the corresponding value of y .

00The importance of the bounding line of the graph lies in the fact that we can keep it unaltered while we alter the graph as a whole by moving OX up or down.

00The graphic method may therefore be used in arithmetic for comparing two particular magnitudes of the same kind by comparing the corresponding lengths P and Q measured along a single line OX from the same point O.

00If the ray be parallel to OX, and the direction of vibration parallel to OZ, we have E =o, 7 7 = o, while I is a function of x and t only.

006Ã‚° C i Capital of Federal District Capitals of States and Territories 0 Railways of Venezuela - the horse, ass, ox, sheep, goat, hog, dog, cat, &c. - are not indigenous.

00Referred to three fixed coordinate axes, a fluid, in which the pressure is p, the density p, and X, Y, Z the components of impressed force per unit mass, requires for the equilibrium of the part filling a fixed surface S, on resolving parallel to Ox, f flpdS = f f fpXdxdydz, (I) where 1, m, n denote the direction cosines of the normal drawn outward of the surface S.

00Thus if d,/ is the increase of 4, due to a displacement from P to P', and k is the component of velocity normal to PP', the flow across PP' is d4 = k.PP'; and taking PP' parallel to Ox, d,, = vdx; and similarly d/ ' = -udy with PP' parallel to Oy; and generally d4,/ds is the velocity across ds, in a direction turned through a right angle forward, against the clock.

00Uniplanar Motion of a Liquid due to the Passage of a Cylinder through it.-A stream-function 4, must be determined to satisfy the conditions v24 =o, throughout the liquid; (I) I =constant, over any fixed boundary; (2) d,t/ds = normal velocity reversed over a solid boundary, (3) so that, if the solid is moving with velocity U in the direction Ox, d4y1ds=-Udy/ds, or 0 +Uy =constant over the moving cylinder; and 4,+Uy=41' is the stream function of the relative motion of the liquid past the cylinder, and similarly 4,-Vx for the component velocity V along Oy; and generally 1,1'= +Uy -Vx (4) is the relative stream-function, constant over a solid boundary moving with components U and V of velocity.

00If the liquid is reduced to rest at infinity by the superposition of an opposite stream given by w = - Uz, we are left with w = Ua2/z, (6) =U(a 2 /r) cos 0= Ua2x/(x2+y2), (7) 4, = -U(a 2 /r) sin 0= -Ua2y/( x2+y2), (8) giving the motion due to the passage of the cylinder r=a with velocity U through the origin 0 in the direction Ox.

00If the direction of motion makes an angle 0' with Ox, tan B' = d0 !dam _ ?xy 2 = tan 20, 0 =-10', (9) dy/ y and the velocity is Ua2/r2.

00When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2 Ui +VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2 Uib.2bz a2); (20) and over r =b Xi= fp?

00With #=o, the stream is parallel to xo, and 4)=m ch (n-a)cos = - Uc ch (n-a) sh n cos /sh (n-a) (22) over the cylinder n, and as in (12) § 29, =-Ux =-Uc ch n cos t, (23) for liquid filling the cylinder; and _ th n (14) 01 th (7 7 - a) ' over the surface of n; so that parallel to Ox, the effective inertia of the cylinder n, displacing M' liquid, is increased by M'thn/th(n-a), reducing when a= oo to /If' th n = M' (b/a).

00An angular velocity R, which gives components - Ry, Ix of velocity to a body, can be resolved into two shearing velocities, -R parallel to Ox, and R parallel to Oy; and then ik is resolved into 4'1+1'2, such that 4/ 1 -R-Rx 2 and 1//2+IRy2 is constant over the boundary.

00Motion symmetrical about an Axis.-When the motion of a liquid is the same for any plane passing through Ox, and lies in the plane, a function ' can be found analogous to that employed in plane motion, such that the flux across the surface generated by the revolution of any curve AP from A to P is the same, and represented by 2s-4 -11'o); and, as before, if d is the increase in due to a displacement of P to P', then k the component of velocity normal to the surface swept out by PP' is such that 274=2.7ryk.PP'; and taking PP' parallel to Oy and Ox, u= -d/ydy, v=dl,t'/ydx, (I) and 1P is called after the inventor, " Stokes's stream or current function," as it is constant along a stream line (Trans.

00In the case of a steady motion of homogeneous liquid symmetrical about Ox, where 0 is advancing with velocity U, the equation (5) of § 34 p/p +V +Zq'2-f(,P') = constant becomes transformed into P +V + 2- dy + 2U 2 -f(t +2Uy 2) = constant, = 1,t+4Uy2, subject to the condition, from (4) § 34, Y -2 V = - f ' (Y', y 2 2 +2Uy2).

00= dx ?+xd%y ds ds ds ds +2 l dd, so that the velocity of the liquid may be resolved into a component -41 parallel to Ox, and -2(a 2 +X)ld4/dX along the normal of the ellipsoid; and the liquid flows over an ellipsoid along a line of slope with respect to Ox, treated as the vertical.

00l ' so that over the surface of an ellipsoid where X and ¢ are constant, the normal velocity is the same as that of the ellipsoid itself, moving as a solid with velocity parallel to Ox U = -q, - 2 (a2+X) dtP, and so the boundary condition is satisfied; moreover, any ellipsoidal surface X may be supposed moving as if rigid with the velocity in (I I), without disturbing the liquid motion for the moment.

00Denoting the effective inertia of the liquid parallel to Ox by aW' the momentum aW'U = 4)0W' (24) _ U i -AO' 25) in this way the air drag was calculated by Green for an ellipsoida pendulum.

00When 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'.

00Taking Ox along OS, the Stokes' function at P for the source S is p cos PSx, and of the source H and line sink OH is p(a/f) cos PHx and - (p/a) (PO - PH); so that = p (cos PSx+f cos PHx PO a PH), (q) and Ili = -p, a constant, over the surface of the sphere, so that there is no flow across.

00When S and S' lie on the same radius, taken along Ox, the Stokes' function can; be written down; and when S and S' coalesce a doublet is produced, with a doublet image at H.

00As before in § 31, the rotation may be resolved into a shear-pair, in planes perpendicular to Ox and Oy.

00These equations are proved by taking a line fixed in space, whose direction cosines are 1, then dt=mR-nQ,' d'-t = nP =lQ-mP. (5) If P denotes the resultant linear impulse or momentum in this direction P =lxl+mx2+nx3, ' dP dt xl+, d y t x2' x3 +1 dtl dt 2 +n dt3, =1 ('+m (dt2-x3P+x1R) ' +n ('-x1Q-{-x2P) ' '= IX +mY+nZ, / (7) for all values of 1, Next, taking a fixed origin and axes parallel to Ox, Oy, Oz through 0, and denoting by x, y, z the coordinates of 0, and by G the component angular momentum about 1"2 in the direction (1, G =1(yi-x2z+x3y) m 2-+xlz) n(y(y 3x 1 x3x y + x 2 x) (8) Differentiating with respect to t, and afterwards moving the fixed.

00As the ring is moved from 0 to 0' in time t, with velocity Q, and angular velocity R, the components of liquid momentum change from aM'U +E and SM'V along Ox and Oy to aM'U'+ and /3M'V' along O'x' and O'y', (I) the axis of the ring changing from Ox to O'x'; and U = Q cos 0, V = Q sin 0, U' =Q cos (o - Rt), V' =Q sin (0 - Rt), (2) so that the increase of the components of momentum, X 1, Y 1, and N1, linear and angular, are X 1 = (aM'U'+ 0 cos Rt - aM'U - - 1 3M'V' sin Rt =(a - (3)M'Q sin_(0 - Rt) sin Rt - ver Rt (3) Y 1 = (aM'U'+) sin Rt-[-13M'V' cos Rt - (3M'V = (a - (3) M'Q cos (0 - Rt) sin Rt +t sin RT, N1=[ - (aM'U'+E) sin (0 - Rt)+ 1 3M'V' cos (o - Rt)]OO' = [- (a - 1 3) M'Q cos (o - Rt) sin (o - Rt) - sin (o - Rt) ]Qt.

00BOVIDAE, the name of the family of hollow-horned ruminant mammals typified by the common ox (Bos taurus), and specially characterized by the presence on the skulls of the males or of both sexes of a pair of bony projections, or cores, covered in life with hollow sheaths of horn, which are never branched, and at all events after a very early stage of existence are permanently retained.

00All the species may be included in the genus Bos, with several subgeneric divisions (see Anoa, Aurochs, Bantin, Bison, Buffalo, Gaur, Gayal, Ox and YAK).

00The diameter ox the outer crater, within which rises the modern cone to a height of 500 ft.

00Domestic animals have for representatives the horse (uma), a small beast with little beauty of form though possessing much hardihood and endurance; the ox (ushs)~mainly a beast of burden or draught; the pig (buta), very occasionally; the dog (mu), an unsightly and useless brute; the cat (neko), with a stump in lieu of a tail; barndoor fowl (niwa-tori), ducks (ahiro) and pigeons (hato).

00and their Japanese followers could be admirably and minutely accurate when they pleased; but too many of the latter were content to construct their pictures out of fragmentary reminiscences of ancient Chinese masterpieces, not presuming to see a rock, a tree, an ox, or a human figure, except through Chinese spectacles.

00They were often Vehkles constructed of rich lacquer; the curtains suspended in front were of the finest bamboo workmanship, with thick cords and tassels of plaited silk, and the draught animal, an ox of handsome proportions, was brilliantly caparisoned.

00The demons carry on conflicts with each of the six classes of creation, namely, the sky, water, earth, plants, animals represented by the primeval ox, and mankind represented by Gayomard or Kayumarth (the "first man "of the Avesta).

00YAK, the wild (and domesticated) ox of the Tibetan plateau; a species nearly allied to the bison group. The yak, Bos (POephagus) grunniens, is one of the finest and largest of the wild oxen, characterized by the growth of long shaggy hair on the flanks and under parts of the body and the well-known bushy tail.

00The title of "grunting ox" properly belongs only to the domesticated breed.

00The priests were the Arval Brothers, who conducted the victims - ox, sheep and pig (suovetaurilia) - in procession with prayer to Ceres round the boundaries of the ager Romanus.

00Toil O€oX.

00In her haste she dropped her veil, which the lion tore to pieces with jaws stained with the blood of an ox.

00urus, the wild ox, and "ox") or Urus, the name of the extinct wild ox of Europe (Bos taurus primigenius), which after the disappearance of that animal became transferred to the bison.

00It has indeed been suggested that the figure of the aurochs was taken from a domesticated ox, but this is a mistaken idea.

00Not the least important feature of the work of Herberstein is the application of the name aurochs to the wild ox, as distinct from the bison.

00The great majority of antelopes, exclusive of the doubtful chamois group (which, however, will be included in the present article), are African, although the gazelles are to a considerable extent an Asiatic;'group. They include ruminants varying in size from a hare to an ox; and comprise about 150 species, although this number is subject to considerable variation according to personal views as to the limitations of species and races.

00On any line OX take a length ON equal to xG, and from N draw NP at right angles to OX and equal to uH; G and H being convenient units of length.

00of elements of the graph from an axis through 0 at right angles to OX.

00On a straight line OX in any plane take a point N at distance x from 0, and draw an ordinate NP at right angles to OX and equal to S/1, where 1 is some fixed length (e.g.

00If this is done for every possible value of x, there will be a series of ordinates tracing out a trapezette with base along OX.

00In art, Oceanus was represented as an old man of noble presence and benevolent expression, with the horns of an ox and sometimes crab's claws on his head.

00Thus a push or a compression of the X air is transmitted onwards in the direction OX.

00Thus waves are propagated along OX, each wave consisting of one push and one pull, one wave emanating from each complete vibration to and fro of the source AB.

00Let OX (fig.

00Burnt wheat, barley and linseed, with many varieties of seeds and fruits, were plentifully mingled with the bones of the stag, the ox, the swine, the sheep and the goat, representing the ordinary food of the inhabitants, while remains of the beaver, the fox, the hare, the dog, the bear, the horse, the elk and the bison were also found.

00Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.

00It has been suggested that the name arose from the branding of such a measure with the head of an ox (see Notes and Queries, series iv.

00The earlier Dutch forms hukeshovet and hoekshoot are nearer to the English form, and, further, the Dutch for "ox" is os.

00The characteristic Chinese mode of dividing the "yellow road " of the sun was, however, by the twelve "cyclical animals " - Rat, Ox, Tiger, Hare, Dragon or Crocodile, Serpent, Horse, Sheep, Monkey, Hen, Dog, Pig.

00Thus, the second sign (of the Ox) occupies the position of Capricorn, the third that of Sagittarius, and so on.

00Shrove Tuesday is called the French Mardi gras, " Fat Tuesday," in allusion to the fat ox which is ceremoniously paraded through the streets.

00above sea-level, destitute of water, and tenanted only by the wild ox, the ostrich and the giraffe.

00The line of sight Ox, considered horizontal in range table results, may be inclined slightly to the horizon, as in shooting up or down a moderate slope, without appreciable modification of (28) and (29), and y or PM is still drawn vertically to meet OB in M.

004 (the law of the muzzled ox) is used to show that God's labourer is worthy of his hire.'

00This led to the explanation of the name as derived from the head of an ox having served as the galley's figurehead.

00Hephaestus made a man, Poseidon an ox, Pallas a house.

00Momus, being called upon to pronounce an opinion as to the merits of these productions, expressed dissatisfaction with all: with the man, because a window ought to have been made in his breast, through which his heart could be seen; with the ox, because its horns were in the wrong place; with the house, because it ought to have been portable, so as to be easily moved to avoid unpleasant neighbours.

00Coll., Ox.

00Montsioa's reply was short: " No one ever spanned-in an ass with an ox in one yoke."

00- Cattle are respected by many pastoral peoples; they live on milk or game, and the killing of an ox is a sacrificial function.

00In Europe the corn spirit sometimes immanent in the crop, sometimes a presiding deity whose life does not depend on that of the growing corn, is conceived in some districts in the form of an ox, hare or cock, in others as an old man or woman; in the East Indies and America the rice or maize mother is a corresponding figure; in classical Europe and the East we have in Ceres and Demeter, Adonis and Dionysus, and other deities, vegetation gods whose origin we can readily trace back to the rustic corn spirit.

0047, AB' =AO'-0B2=AX2+0X2-0P2; and OX 2 =OD 2 - DX 2 =0P 2 +PD 2 - DX 2.

00Beyond this to the north are the " barren grounds " on which herds of caribou (reindeer) and musk ox pasture, migrating from north to south according to the season.

00The larger animals of Canada are the musk ox and the caribou of the barren lands, both having their habitat in the far north; the caribou of the woods, found in all the provinces except in Price Edward Island; the moose, with an equally wide range in the wooded country; the Virginia deer, in one or other of its varietal forms, common to all the southern parts; the black-tailed deer or mule deer and allied forms, on the western edge of the plains and in British Columbia; the pronghorn antelope on the plains, and a small remnant of the once plentiful bison found in northern Alberta and Mackenzie, now called " wood buffalo."

00264 M OX avLKa.: Quaestiones mechanicae: Mechanical questions.

00The schists and gneisses of the Ox Mountain axis also enter the county north of Castlebar.

00The price of a pig was twice, and that of an ox six times as great as that of a sheep. Regarding the prices of commodities other than live-stock we have little definite information, though an approximate estimate may be made of the value of arms. It is worth noticing that we often hear of payments in gold and silver vessels in place of money.

00Unwilling to go, he feigned madness, ploughing a field sown with salt with an ox and an ass yoked together; but Palamedes discovered his deceit by placing his infant child Telemachus in front of the plough; Odysseus afterwards revenged himself by compassing the death of Palamedes.

00Each of the "four living creatures" of Ezekiel and the Apocalypse has been attributed to each of the four evangelists in turn; Augustine and Bede think that Mark is designated by the "man"; Theophylact and others think that he is designated by the eagle; Anastasius Sinaita makes his symbol the ox; but medieval art acquiesced in the opinion of Jerome that he was indicated by the lion.

00It may be noted that in some traditions he is called the son of Dysaules (possibly identical with diaulos, the "double furrow" traced by the ox), and that, according to the Latin poets (e.g.

00In the Niie valley the chief domestic animals are the camel, donkey, mule, ox, buffalo, sheep and goat.

00Here in ancient times were found the oryx, addax, ibex, gazelle, bubale, ostrich, hyena and porcupine, more rarely the wild ox and wild sheep (0.

00The general effect cannot be judged without a large scene, but the figures of two men and an ox (Plate III.

00The animals chiefly hunted were the gazelle, ibex, oryx, stag, wild ox, wild sheep, hare and porcupine; also the ostrich for its plumes, and the fox, jackal, wolf, hyaena and leopard for their skins, or as enemies of the farm-yard.

004 seq., to care for one's enemy's ox or ass likewise refers to Israelites; Proverbs conceives the principle in a higher way and extends it beyond the limits of the nation.

00As a whole, the economic conditions implied are pastoral and agricultural, and are relatively primitive; and the general rudimentary character of the legal ideas appears in the death penalty for the goring ox (Exod.

00BOOTES (Gr.) 30wrns, a ploughman, from soils, an ox), a constellation of the northern hemisphere, mentioned by Eudoxus (4th century B.C.) and Aratus (3rd century B.C.), and perhaps alluded to in the book of Job (see Arcturus), and by Homer and Hesiod.

00The ox tribe is represented in India by some of its noblest species.

00Heriot, the surrender of the best horse or ox, is also considered as the common incident of villein tenure, although, of course, its very name proves its intimate connexion with the outfit of soldiers (here-geatu).

00Hippopotamus, otter and the wild boar are numerous; a species of wild ox of small size with black horns and very agile is also found.

00The objects denoted by the other six names - ox, house, valve of a door, water, fish and mark or cross - clearly do not belong to any people in a nomadic state, but to a settled, town-abiding population..

00Adopting rectangular axes Ox, Oy, in the plane of, f~ the forces, arid distinguishing FIG the various forces of the system 4.

00These two forces X, Y, may be combined into a single resultant R making an angle 4> with Ox, provided X = Rcos4,, Y = Rsin4~, (2) whence R2 = X~ + Yi, tan 4) = Y I X.

00Hence P is equivalent to three forces P1, Pm, Pu acting Ff0- 5 along Ox, Oy, Oz, respectively, ~ where 1, m, n, are the direction- ratios of OH.

00Introducing at 0 two A, ~ equal and opposite forces y ~EXi in Ox, we see that Xi at A1 may be replaced by an ~ equal and parallel force at y, y1X1.

00or Ã¯¿½l(X) along Ox, a force Vi + V1 +.

00If the forces are all parallel, making say an angle 0 with Ox, we may write Xi = Pi cos 0, Vi = P1 sin 0, Xi = P2 cos 0, VI = Pi sin 0,.

0037) can turn about a diameter OC of a ring which is itself free to turn about, a diametral axis OX at right angles to the former; this axis is carried by a second ring which is free to turn about a fixed diameter OZ, which is at right angles to OX.

00the positive directions of the axes are assumed to be so arranged that a positive rotation of 90 about Ox would bring Oy into the position of UI, and so on.

00From the equivalence of a small rotation to a localized vector it follows that the rotation ~ will be equivalent to rotations E,ii, ~ about Ox, Oy, Uz, respectively, provided = le, s1 = me, i nc (I) and we note that li+,72+l~Z~i (2)

00The displace ment of P parallel to Ox is the same K

00Next, introduce along Ox two equal and opposite forces r~X1.

00The force X1 in KH with X1 in Ox forms a couple about Oy, of moment z1Xi.

00Dealing in the same way with the forces Yi, Zi at P1, we find that all three components of the force at P1 can be transferred to 0, provided we introduce three couples L1, Mi, Ni about Ox, Oy, Oz respectively, viz.

00If we take rectangular axes Ox, Oy, of which Oy is drawn vertically upwards, we have y=sin ~ s, whence T=wy.

00P,, we draw any system of parallel planes meeting a straight line OX in the points Mi, M2,

00OP,, on OX.

00x,,, the sign being positive or negative according as the direction is that of OX or the reverse.

00The formula (16) expresses that the squared radius of gyration about any axis (Ox) exceeds the squared radius of gyration about a parallel axis through G by the square of the distance between the two axes.

00The above problem is identical with that of the oscillation of a particle in a smooth spherical bowl, in the neighborhood of the lowest point, If the bowl has any other shape, the axes Ox, Oy may, ..--7 be taken tangential to the lines tof curvature ~ / at the lowest point 0; the equations of small A motion then are dix xdiy (II) c where P1, P2, are the principal radii of curvature at 0.

00Ox) is equal to the moment of momentum of the motion relative to G about a parallel axis through G, together with the moment of momentum of the whole mass supposed ~j concentrated at G and moving with this point.

00(6) If we put ~, ~Y, s=o, the theorem is proved as regards axes parallel to Ox.

00that of Ox) is equal to the total extraneous force in that direction, and that the rate of change of the -angular momentum about any fixed axis is equal to the moment of the extraneous forces about that axis.

00Take, for example, the case of a sphere rolling on a plane; and let the axes Ox, Oy be drawn through the centre parallel to the plane, so that the equation of the latter is 1=cf.

00The moving axes Ox, Oy, 01 form a rigid frame of reference whose motion at time t may be specified by the three component angular velocities p, q, r.

00The components of angular momentum about Ox, Qy, 01 will be denoted as usual by X, u, v.

00Now consider a system of fixed axes Ox, Oy, Oz chosen so as to coincide at the instant I with the moving system Ox, Oy, Os.

00At the instant t+t, Ox, Oy, Os will no longer coincide with Ox, Oy, Os; in particular they will make with Ox angles whose cosines are, to the first order, I, rot, qOt, respectively.

00Hence the altered angular momentum about Ox will be X+OX+(is+Ou)(rOt)+ (v+Oe)qOt.

00If L, M, N be the moments of the extraneous forces about Ox, Oy, Os this must be equal to Xl--LOt.

00If we now apply them to the case of a rigid body moving about a fixed point 0, and make Ox, Oy, Oz coincide with the principal axes of inertia at 0, we have X, u, v=Ap, Bq, Cr, whence A (B C) qr = L,

00j To prove these, we may take fixed axes Ox, Oy, Oz coincident with the moving axes at time t, and compare the linear and angular momenta E+E, ~ ~ ?~+~X, u+u, v+~v relative to the new position of the axes, Ox, Oy, Oz at time t+t with the original momenta ~, ~ ~, A, j~i, v relative to Ox, Oy, Oz at time t.

00~ fOx Ox Oy Oy 31 Oz\ j 2

00whence 3~ Ox Also d fox\ 31x.

00123 and 124) is the following: If points X and x are taken dividing the link BC and the tangential velocity cb, sothat cx: xb=CX:XB, then Ox represents the velocity of the point X in magnitude and direction.

00The rotation of that curve round OX will generate the form, of pivot required.

00Now let PT be a tangent to the curve at P, cutting OX in T; PT=PYXsecant obliquity, and this is to be a constant quantity; hence the curve is that known as the tractory of the straight line OX, in which PT = OR = constant, This curve is described by having a fixed straight edge parallel to OX, along which slides a slider carrying a pin whose centre is T.

00130), attached to a truly turned disk, be rotated by the shaft OX, and conceive that the shaft is held in a bearing at one point, 0.

00In order that OX may be a permanent axis it is necessary that there should ne a suffIcient number of weights attached to the shaft and so distributed that when each is referred to the point 0

00The plane through the radius of the weight containing the axis OX is railed the axial plane because it contains the forces forming the couple due to the transference of F to the reference plane.

00He had early trained himself in the art of speech-making, in the forest, the field and even the barn, with horse and ox for audience.

00As freighters for the Hudson's Bay Company many of these settlers made, with their ox or pony carts, the long journey over the natural prairie roads to Fort Garry, fording or swimming the streams, carrying furs for a thousand miles or more on the eastern trip, and returning brought loads of merchandise for the company.

00This prolific writer, having performed the pilgrimage to Mecca, devoted himself to a stern ascetic life, and to the composition of Sufic works, partly in prose, as in his valuable Biography of Eminent Mystic Divines, but mostly in the form of mathnawis (upwards of twenty in number), among which the Pandndma, or Book of Counsels, and the Mantili-uf (air, ox the Speeches of Birds, occupy the first rank.

00The gaur or wild ox is found at the base of the hills.

00Thus the " Celtic " ox (Bos longifrons), from remote ages the common type in the Alpine regions, is characterized by the height of its forehead above the orbits, by its highly-developed occipital region, and its small horns.

00Another ritual, fascinating for the glimpse it affords of very old-world thought, is that of the Diipolia, the yearly sacrifice to Zeus Polieus on the Acropolis at Athens.6 In this an ox was slaughtered with ceremonies unique in Greece; the priest who slew him fled and remained in exile for a period, and the axe that was used was tried, condemned and flung into the sea; the hide of the slain ox was stuffed with hay, and this effigy of the ox was yoked to the plough and feigned to be alive.

00We recognize indeed the sacramental meal and the sanctity of the ox; but the animal may have acquired this sanctity temporarily through contact with the altar; we need not suppose an ox-clan - the priest was merely, ovrns " the herdsman "- nor assume the permanent sanctity of the ox, nor the belief that the deity was permanently incarnate in the ox: the main parts of the ceremony can be explained as cattle-magic intended to appease the rest of the oxen or to prevent them suffering sympathetically through the death of one.

003) that Simon Magus had entertained the people of Antioch on a sacrificial ox, and so subjected them to the evil influence of demons.

00Among cattle the Sanga or Galla ox is the most common.

00In his household he spent "every fortnight 40 bushels of corn, 20 bushels of malt and an ox, besides a proportional quantity of other kinds of provisions."

001 30us, ox, TEÃ¯¿½vew, to cut, in allusion to leaves cutting the tongues of oxen feeding on them).

00This distinction between Logos as ratio and Logos as oratio, so much used subsequently by Philo and the Christian fathers, had been so far anticipated by Aristotle's distinction between the g w Xo'yos and the Xoyos iv rff Ox?j.

00It is then found both by experiment and by thermodynamic theory that in these amorphous radiations there is for each temperature a definite distribution of the energy over the spectrum according to a law which may be expressed by 0 5 0(OX)dX, between the wave-lengths X, A+dX; and as to the form of the function 4), Planck has shown (Sitzungsber.

00544) that an intelligible theory can be given which leads to the form j(OX) = c i /{exp(c 2 /A9) - I }, a form which agrees in a satisfactory way with all the experi ments.

00above sea-level - the Magdalena in the Laguna del Buey (Ox Lake) on the Las Papas plateau, and the Cauca a short distance westward in the Laguna de Santiago on the Paramo de Guanacas - and flow northward in parallel courses with the great Central Cordillera, forming the waterparting between their drainage basins.

00The remains of a gigantic ox, Bubalus Baini, have been obtained from the alluvium near the Modder river.

00The ox is very generally used as a draught animal in country districts remote from railways; sixteen or eighteen oxen being harnessed to a wagon carrying 3 to 4 tons.

00BUPHONIA, in Greek antiquities, a sacrificial ceremony, forming part of the Diipolia, a religious festival held on the 14th of the month Skirophorion (June - July) at Athens, when a labouring ox was sacrificed to Zeus Polieus as protector of the city in accordance with a very ancient custom.

00The ox was driven forward to the altar, on which grain was spread, by members of the family of the Kentriadae (from ithi rpov, a goad), on whom this duty devolved hereditarily.

00When it began to eat, one of the family of the Thaulonidae advanced with an axe, slew the ox, then immediately threw away the axe and fled.

00The axe, as being polluted by murder, was now carried before the court of the Prytaneum (which tried inanimate objects for homicide) and there charged with having caused the death of the ox, for which it was thrown into the sea.

00Although the slaughter of a labouring ox was forbidden, it was considered excusable in the exceptional circumstances; none the less it was regarded as a murder.

00Haemoglobin is extracted from the blood of an ox and may be administered in bolus form.

00heinsii), we find one moufflon (Musimon vignei), formerly known only in the Himalayas, the Chinese antelope (Antilope subgutturosa) and the saiga antelope in the steppe's, the Siberian ibex and another goat, the yak, the zebu or Indian ox, the common ox, the camel and the dromedary.

00The most conspicuous object in the forum of the Bous was the figure of an ox, in bronze, beside which the bodies of criminals were sometimes burnt.

00OX, strictly speaking, the Saxon name for the males of domesticated cattle (Bos taurus), but in a zoological sense employed so as to include not only the extinct wild ox of Europe but likewise bovine animals of every description, that is to say true oxen, bison and buffaloes.

00Remains of the wild ox or aurochs are abundant in the superficial deposits of Europe, Western Asia, and Northern Africa; those from the brick-earths of the Thames valley indicating animals of immense proportions.

00In the Pleistocene of India occurs a large ox (Bos namadicus), possibly showing some affinity with the Bibos group, and in the same formation are found remains of a buffalo, allied to, but distinct from the living Indian species.

00OX is the fixed initial,% line by which e directions are to be defined.

00(2) The angle XOQ which the projection of the radius vector upon the fundamental plane makes with the initial line OX.

00The initial line OX then passes through the foot of the perpendicular dropped from Greenwich upon the plane of the equator, and meets the surface at N.

00I, the initial line OX is defined as directed toward the vernal equinox, at which point it intersects the celestial sphere.

00The north-west highlands of Donegal and the Ox Mountains, with their axes of folding running north-east and south-west, invite comparison with the great chain of Leinster, but also with the Grampians and the backbone of Scandinavia.

00Similar rocks come up along the Ox Mountain axis, and occupy the wild west of Mayo and Connemara.

00The great resource of the treasury was the alcabalas or excisestaxes (farmed by contractors) of 5 01 10% on an article every time it was sold~--on the ox when sold to the butcher, on the hide when sold to the tanner, on the dressed hide sold to the shoemaker and on his shoes.

00On one side Prometheus arranged the best parts of the ox covered with offal, on the other the bones covered with fat, as the meat was covered in Homeric sacrifices.

00Other ingredients might include set retardants such as hydrated lime, and fiber reinforcements such as straw and ox hair.

00Here are oxen for the burnt offering, and here are threshing sledges and ox yokes for the wood.

00The lion eating straw like an ox, no longer a predator.

00And it was a tip-off from a member of the public which led to the discovery on Park Farm, Ox Lane.

00This is a good place to explore the tundra where musk ox is likely to roam.

00Along with extensive landscape photography we will also make an excursion onto the open tundra of Dovrefjell to photograph the truly impressive Musk Ox.

00Vegetation established was typical of tundra conditions, yet sufficient enough to support herds of wholly mammoth and musk ox en in the summer.

00W/s, ox, borders (get linux wank mag), home.

00Catherines offers a lovely collection of plus size skirts in sizes 16W to 34W and OX to 5X.

00Chun-Li wears a blue qipao--a traditional Chinese dress--and has her hair done up in "Ox horns" adorned with brocades and ribbons.

00Ox is a loveable character that gets his name from the symbols for "hug" and "kiss", making him a great romantic present.

00According to Chinese astrology, the Ox is a noble character indeed.

00If you're an Ox, you probably don't know the meaning of the word "quit" and you'll plow forward until you reach your goals.

00Normally patient, taciturn ox can sometimes turn eccentric and short-tempered.

00You'll also mesh well with rats, ox, dragons and snakes.

00Financially fortunate snakes can make a successful love match with roosters, ox, and dogs.

00Roosters get along best with ox, dragons and snakes.

00Roosters: Talented roosters make good lasting connections with patient ox, financially fortunate snakes and honest dragons.

00Snakes: Fortunate snakes find love with quiet ox and capable roosters.

00Ox: Patient and quiet, ox get along best with financially stable snakes, wise roosters and clever rats.

00As such, they match up very well with dragons, monkeys and ox.

00The Chinese Year of the Ox begins February 4, 2009.

00The Chinese New Year Day is based on the Chinese lunar calendar, whereas the Chinese Year of the (insert appropriate animal - in 2009 it's the Ox) is based on the Chinese solar calendar.

00There's a call for obedience and the courage to face the day-to-day work required of the ox.

00Family is very important to an Ox, so you'll have greater interaction with family members.

00The Ox is a hard-worker. and it's through work and action that devotion is shown to those you love.

00For an Ox, actions always speak louder than words.

00Because 2009 is an earth year with an Earth Ox, the double dose of these energies makes it a highly competitive year on the career scene.

00The saving grace on a personal note is the Ox affords you the opportunity to earn money if you're willing to put forth the labor it requires.

00The Earth Ox is the second earth branch year.

00Tiger: This could be a frustrating year since the ox moves too slowly for you.

00You'll spend most of your time trying to keep out of the Ox's way.

00Whatever your sign, celebrate the good energies being brought into your world this Chinese Year of the Ox.

00Since 2009 is the Year of the Ox (or as in some Chinese regions, the Bull) you'll want to understand the Ox's influence over your life for the coming year.

00For example, 2009 is the Year of the Ox.

00The year will be governed by the characteristics of the Ox.

00These animals are rotated in this order year after year. 2009 is the year of the Ox.

00Some may be born on Pig days, Ox days or Rabbit days.

00Those born during the year of the Ox are dependable.

00The second trine is the ox, the snake and the rooster.

00The Ox is one of the most stable signs in the Chinese zodiac.

00However, both Rats and Roosters provide a good balance for the Ox.

00Rat's wisdom and Rooster's confidence provide the Ox with comfort.

00Snake can appreciate the Rooster's bluntness and can also appreciate the work ethic of the Ox.

00While the Goat may be attracted to the Ox, Ox's stubborn nature can upset the Goat's comfortable world.

00The rat, being a clever creature, jumped onto the back of the ox.

00The ox being such a massive animal was unaware of his hitchhiker, so when he reached the other side, the rat sprang from his back and was the first animal to touch land.

00Ox: You need to keep your head down this year.

00The Ox has the accompanying element of water.

00We have cos w' = cos w = o and the substitution x 1 =cos OX, -sin 0(2 x 2 = sin OX i +cos 6X2, with modulus unity.

01We take a fixed line OX, usually drawn horizontally; for each value of X we measure a length or abscissa ON equal to x.L, and draw an ordinate NP at right angles to OX and equal to the corresponding value of y .

016° C i Capital of Federal District Capitals of States and Territories 0 Railways of Venezuela - the horse, ass, ox, sheep, goat, hog, dog, cat, &c. - are not indigenous.

01If the direction of motion makes an angle 0' with Ox, tan B' = d0 !dam _ ?xy 2 = tan 20, 0 =-10', (9) dy/ y and the velocity is Ua2/r2.

010, 1, = -ZUa 3 sin e B/r; (13) and then =Ux(I+1a3/r2), 4=ZUa 3 cos 0/r2, -d r = Ua3 cos B, -d9=ZUa3 sin 0, so that, if the direction of motion makes an angle >G with Ox, tan (4y-0) =Z tan 0, tan =3 tan 0/(2-tan 2 e).

01= dx ?+xd%y ds ds ds ds +2 l dd, so that the velocity of the liquid may be resolved into a component -41 parallel to Ox, and -2(a 2 +X)ld4/dX along the normal of the ellipsoid; and the liquid flows over an ellipsoid along a line of slope with respect to Ox, treated as the vertical.

010, 1, = -ZUa 3 sin e B/r; (13) and then =Ux(I+1a3/r2), 4=ZUa 3 cos 0/r2, -d r = Ua3 cos B, -d9=ZUa3 sin 0, so that, if the direction of motion makes an angle >G with Ox, tan (4y-0) =Z tan 0, tan =3 tan 0/(2-tan 2 e).

01With #=o, the stream is parallel to xo, and 4)=m ch (n-a)cos = - Uc ch (n-a) sh n cos /sh (n-a) (22) over the cylinder n, and as in (12) § 29, =-Ux =-Uc ch n cos t, (23) for liquid filling the cylinder; and _ th n (14) 01 th (7 7 - a) ' over the surface of n; so that parallel to Ox, the effective inertia of the cylinder n, displacing M' liquid, is increased by M'thn/th(n-a), reducing when a= oo to /If' th n = M' (b/a).

02

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.