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)
e chordor arc, whatever be the direction of the subtense, is due to,the vanishing of BD, and therefore of DE with respect to AD, 39. If tioo curves of continuous curvature which do not inter--sect have a common chords the length of the exterior curve will he- 60 NEWTON. greater than that of the… … and that neither has interaal angles, the perimeter of the firstis less than that of the second. For, produce Ac^ cd^ de to meet the perimeter of the exteriorin cj d\ e ; then AC + Cc > Ac-, .. ACDEFB> AcDEFB; similarly AcDEFB> AcdEFB, and on on; .-. a fortiori, ACDFFB> AcdeB. And,…
Mechanics · Celestial mechanics
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