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The mathematical theory of electricity and magnetism (1911)

Jeans, James Hopwood, Sir, 1877-1946 · Cambridge [Eng.] : University Press · leaf 153

An illustration from The mathematical theory of electricity and magnetism, 1911, leaf 153
faces parallel to the coordinate planes and a fourth having directioncosines I, m, n. If d8 is the area of the last face, the areas of the otherfaces are IdS, md8, ndS and the volume of the parallelepiped is^ w2lmn {d8)^. Resolving parallel to Ox, we have, since the medium insidethis tetrahedron is… … 158-160] General Theorij of Stress 145 160. Assuming that equation (80) and the two similar equations aresatisfied, the normal component of stress across the plane of which thedirection cosines are I, m, n is IF + mG + nH=PEc,, + niPyy + ?i^i^^ + ImnBjz + 2n^/^^ + 2lmP^y. The quadric X P^^ + f~I^,y…

Electricity · Magnetism

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