V, Specific volume of fluid, reciprocal of density.
Reciprocal figures are easily drawn by following definite rules, and afford therefore a simple method of computing the stresses on members of a frame.
Encouraged from Berlin, Kalnky agreed to the reciprocal territorial guarantee, but declined reciprocity in support of special interests.
3), had entered into a reciprocal covenant with a people who, as Micah's writings would indicate, had suffered grievous oppression and misery.'
Compared with the export trade in live stock from Ireland to Great Britain the reciprocal trade from Great Britain to Ireland is small, and is largely restricted to animals for breeding purposes.
" The whole course of nature becomes intelligible only by supposing the co-working of God, who alone carries forward the reciprocal action of the different parts of the world.
The influence of temperature on the conductivity of solutions depends on (I) the ionization, and (2) the frictional resistance of the liquid to the passage of the ions, the reciprocal of which is called the ionic fluidity.
Bow (Economics of Construction), and is convenient in applying the theory of reciprocal figures to the computation of stresses on frames.
The method of sections already described is often more convenient than the method of reciprocal figures, and the method of influence lines is also often the readiest way of dealing with braced girders.
A'Ran studied her for a long moment before turning on the reciprocal viewer, curious yet wary as to what his nishani had to say in place of Ne'Rin.
These inferences are often summarized as the laws of constant, multiple and reciprocal proportions.
The law of reciprocal proportions, or, as it might well be named, the law of equivalence, cannot be adequately enunciated in a few words.
The law of reciprocal proportion, of which some examples have been already given, is part of a larger law of equivalence that underlies most of our chemical methods and calculations.
Reciprocal action is explained away into a " preestablished harmony " between every monad and all others.
A transformation which is sometimes rapid, sometimes slow, but always continuous, is wrought by the reciprocal action of the innate variability of plants and of the variability of the external factors.
" In London," says he, " I was lost in the crowd; I ranked with the first families in Lausanne, and my style of prudent expense enabled me to maintain a fair balance of reciprocal civilities..
The Adjoint or Reciprocal Determinant arises from A = (a11a22a33 ...a nn) by substituting for each element A ik the corresponding minor Aik so as to form D = (A 11 A 22 A 33 ï¿½ï¿½ï¿½ A nn).
For if u, v, w be the polynomials of orders m, n, p respectively, the Jacobian is (u 1 v 2 w3), and by Euler's theorem of homogeneous functions xu i +yu 2 +zu 3 = mu xv1 +yv2 +zv3 = /IV xw 1+y w 2+ zw 3 = pw; denoting now the reciprocal determinant by (U 1 V2 W3) we obtain Jx =muUi+nvVi+pwWi; Jy=ï¿½.., Jz=..., and it appears that the vanishing of u, v, and w implies the vanishing of J.
These were drawn up in the language of the country, a Romance dialect (1288 being the date of the most ancient written code), and are remarkable for the manner in which they define the rights of the sovereign, determining the reciprocal obligations of the viscount and his subjects or vassals.
Before long the reciprocal need of fresh territory and frontier disputes, especially concerning Poggibonsi and Montepulciano, led to an outbreak of hostilities between Florence and Siena.
C. Oersted (1777-1851) had shown that a magnetic needle is deflected by an electric current, he attempted, in the laboratory of the Royal Institution in the presence of Humphry Davy, to convert that deflection into a continuous rotation, and also to obtain the reciprocal effect of a current rotating round a magnet.
Uniplanar motion alone is so far amenable to analysis; the velocity function 4 and stream function 1G are given as conjugate functions of the coordinates x, y by w=f(z), where z= x +yi, w=4-Plg, and then dw dod,y az = dx + i ax - -u+vi; so that, with u = q cos B, v = q sin B, the function - Q dw u_vi=g22(u-}-vi) = Q(cos 8+i sin 8), gives f' as a vector representing the reciprocal of the velocity in direction and magnitude, in terms of some standard velocity Q.
He now proposed to define absolute temperature as proportional to the reciprocal of Carnot's function, so as to agree as closely as possible with the scale of the gas thermometer.
Ruppin's formula as L=o oo1465 S - o o0000978 S 2 +0.0000000876 S 3 in reciprocal ohms.
During the Civil War Congregationalism broadened out into reciprocal relations with the national life and history.
But when the wind is steady its effect may be eliminated by " reciprocal " observations, that is, by observations of the time of passage of sound in each direction over the measured distance..
The reciprocal method was adopted in 1738 by a commission of the French Academy (Memoires de l'academie des sciences, (1738).
To eliminate wind as far as possible reciprocal firing was adopted, the interval between the two firings being only a few seconds.
The following definition of reciprocal figures: - " Two plane figures are reciprocal when they consist of an equal number of lines so that corresponding lines in the two figures are parallel, and corresponding lines which converge to a point in one figure form a closed polygon in the other."
This polygon falls under the definition of a reciprocal figure given by Clerk Maxwell, if we consider the frame as a point in equilibrium under the external forces.
69 b is the polygon of external forces, and 69 c is half the reciprocal figure.
He believed in reciprocal action; and the very essence of his metaphysics consists in sublimating the interaction of bodies into the interaction of immaterial elements, which produce effects on one another and on the soul as one of them.
Having thus rejected all bodily mechanism, he had to suppose that reciprocal action somehow takes place between immaterial elements.
The regular octahedron has for its faces equilateral triangles; it is the reciprocal of the cube.
It was not till 1876 that he published, in two volumes, his remarkable Histoire de la formation territoriale des etats de l'Europe centrale, in which he showed with a firm, but sometimes slightly heavy touch, the reciprocal influence exerted by geography and history.
In a very curious manner, by viewing the circle y= (1 - x2): as a member of the series of curves y= (I -x 2 )', y = (I -x 2) 2, &c., he was led to the proposition that four times the reciprocal of the ratio of the circumference to the diameter, i.e.
' It is to palaeogeography and zoogeography in their reciprocal relations that palaeontology has rendered the most unique services.
A state of gas; or between p and v, the reciprocal of D, which may be called the gravimetric volume (G.
In 1853 a treaty between the Zollverein and Austria brought about reciprocal reductions of duty between these two parties.