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 136
therefore CD is infinitely greater than BD; also, since the angles ofcontact, BAD, CAD, are ultimately proportional to BD, CD,it follows that, if in two curves the subtenses vary accordingto different powers of the arcs or tangents, the angle of contactof that curve in which the index of the power… … be the curve of finite curvature, BD, bd parallel subtenses, draw AE parallel to either. Draw AU perpendicular to AD, and AS making angleUAS= UAE; then since AE is a diameter of the parabola,AS is in the direction of the focus. Also, if 4,AS be taken a third proportional to BD and AD,the limiting…
Mechanics · Celestial mechanics
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