Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 90
ferently for oneanother. Observations on the Lemma. 45. If RB throughout the change in the hypothesis make afinite angle with RA, the three triangles rAb, rAcb, rAd remain LEMMA VIII. 71 always finite, and are ultimately identical and equal. But, if theangle AEB is ultimately not finite, for… … finite triangles, as to reasoning immediately upon the relationof the triangles EAB, EAD in the former case. In this case we can at once deduce the equality of the triangles without producing AD to a point d at a finite distance.For, the ratio of the difference of EAD and EAB to EAB isBD : BB,…
Mechanics · Celestial mechanics
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