Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)
ird proportional to 2Pi^and BCB, LEMMA XI. 97 82. Since the chord of curvature in any direction variesinversely as the subtense QR drawn in that direction, it is easilyseen that, if PL be the portion of the chord intercepted betweenP and DCD\ the chord of curvature at F in the direction FLwill be… … 84. The radius of curvature at any point of a conic sectionis to the normal in the duplicate ratio of the normal to the semilatus rectum. Let FK be the normal, FO the radius of curvature at P,L the semi-latus rectum. (i) For the parabola, FO . 28Fi: SP. SY.. 8Y: 8A- .-. F0.28Y:: 8F: 8A :: 4.8F.8A :…
Mechanics · Celestial mechanics
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