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 49
e cylinder generatedby MR, with respect to the base of the hemisphere, will be which differs from trPN*. MN . CMl>y a quantity which vanishescompared with it, and is therefore ultimately therefore the moment of the hemisphere, with respect to itsbase, is hence, the distance of the center of… … LEMMA II, III. 31 Let ABC be the polygon whose curvilinear limit is the equiangular spiral (Appendix II.), in which / SAB=t SBC= ...... = a. Draw SY perpendicular to AB.Then, SB2 = SA* + AB2 - 2AB . A F, and &SAB = ±AB.SY = AB . A F tan a Similarly A£5C = J tanaand But £<7 : ^J? :: CZ> :…
Mechanics · Celestial mechanics
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