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 268
to four times the area of thesemicircle ; therefore the cycloidal area 00 B1 is three timesthe area of the semicircle. APPENDIX II. 249 212. To shew that the evolute of a given cycloid is an equalcycloid, and that the radius of curvature of a cycloid is twice thenormal. Let APC be half the given… … to that of the generating circle of the given cycloid, rolling onCB] C is the vertex, and CB the axis of this cycloid. Let SPR,- SPE be two positions of the respective generating circles, having their diameters RS, SR in the samestraight line, P, P the corresponding points of the cycloids.Join SP,…
Mechanics · Celestial mechanics
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