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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 281

An illustration from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems, 1863, leaf 281
CQ may be shewn by Lemma IV. to beequal to the triangle CRN where CQ meets the auxiliary circlein JR, and EN is perpendicular to CA. 241. To find the law of force tending to the center, under theaction of which the lemniscate may be described. GZ\ YV ~ CZ\ CY CY7 CY1 242. The velocity varies… … APPENDIX II. 263 Draw SYZ perpendicular to the tangent to tlie hyperbola,meeting the auxiliary circle in I, Z, and join sY, sZ, sYliY. Since Cs = sS, the perpendicular from 5 on YY bisects it ;therefore s Y = s Y, and similarly h Y= hZ= sZ. The altitude of the triangle YCZ1 is double that of…

Mechanics · Celestial mechanics

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More pictures from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems

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