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)
continuous curvatureja tangent AD he drawn, and the subtense BD, then, whenB ap)proaches to A and ultimately coincides with it, theulimate ratio of the arc, the chord, and the tangent to oneanother, is a ratio of equality. For whilst tlie point B approaches to the point A, letAB, AD be supposed… … But, when the points B, A coincide, the angle I Ad, bythe preceding Lemma, will vanish, and therefore thestraight lines Ah, Ad, which are always finite, andthe arc Acb, which lies between them [and is of con-tinuous curvature in one direction, if the changecommence when B is near enough to A~\,…
Mechanics · Celestial mechanics
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