Ox Sentence Examples

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

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

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?

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

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

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

Thus 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.

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

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

It 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.

I 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.

The 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.

Ox 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.

If 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.

The 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.

Motion 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.

If 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.

The 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.

The 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.

The 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.

The 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.

Taking 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.

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

The [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.

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

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

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

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

They 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.

The 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).

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

The 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.

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

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

Not 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.

The 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.

On 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.

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

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

In 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.

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

Then 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.

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

The 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.

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

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

In 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.

Beyond 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.

The 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."

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

The 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.

Each 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.

The 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.

Heriot, 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).

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

The 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..

If 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,.

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

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

Dealing 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.

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

The 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.

Take, 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.

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

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

Now 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.

At 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.

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

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

If 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,

In 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

The 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.

He 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.

As 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.

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

Thus 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.

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

In 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."

This 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.

It 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.

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

The 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.

When 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.

The 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.

Although 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.

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

The 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.

Remains 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.

In 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.

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

The 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.

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

On 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

On 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.

Then 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.

If 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.

In 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).

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

Thus 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.

Burnt 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.

Unwilling 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.

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

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

Another 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.

The 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.

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

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

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

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

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

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

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

If 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.

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

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

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

Roosters get along best with ox, dragons and snakes.

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

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

The 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.

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

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

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

For an Ox, actions always speak louder than words.

Because 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.

The 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.

The Earth Ox is the second earth branch year.

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

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

Since 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.

For example, 2009 is the Year of the Ox.

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

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

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

Those born during the year of the Ox are dependable.

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

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

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

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

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

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

The 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.

The Ox has the accompanying element of water.

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

E, Chromosomes ox the spindle.

We 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 .

The 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.

If 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.

If 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.

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'.

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

But 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.

Uniplanar 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.

An 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.

The ox and the ass were used for labour.