The mathematical principles of natural philosophy (1803)
Newton, Isaac, Sir, 1642-1727, Motte, Andrew, d. 1734, Davis, William, 1771-1807, Emerson, William, 1701-1782, Machin, John, d. 1751, Newton, Isaac, Sir, 1642-1727. De mundi systemate. English · London, Printed for H. D. Symonds · leaf 118
: s : PM = ? therefore, vy == cc + a + nx/ a + nx nnccss _ __ _ . ^nnccssz - ^1 --, and area SPp = |ccz + —— 5-— = iccz + a -h nx r i aa + 2anx, &c. imccs_sz* _ n^*x_z^ g^^. ^^ z= — i, and xz = s, and — 2aa a^ ^ |nnlsx n^lsss= 11; therefore the area SPp = |alz iaa and the fluent BSP = ^ —-^ X… … ON THE PRINCIPIA. ]0l 8nns ax^ nss And dividing, z - - x Y + g = T, the mean 2a + ann nn anoma ly. Whence z = T + —-— X S.2T + 4aa + 2nn 4n3 X S.T^, becaufe T is nearly =: z, and £xs ::: Q o n n 6a^ + Sana S.^T. But fince n is very frnall by fuppofition, z = T + — V S.2T +^xS?r^ Where the…
Mechanics · Celestial mechanics
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