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)
ch greater or each less than a right angle,and C8P is common to the triagles CP8, cpS; therefore thetriangles are similar, Euclid VI. 7, and the sides about theangle C8P are proportional, that is, 8P: Sp :: SC: 8c;therefore 8 is the centre of direct similitude. Similarly, the intersection of two… … 48 NEWTON, are parallel and foci coincident, and let SpP be any linetlirough the focus meeting them in ^, P; draw SaAD andPQ perpendicular to the directrix DQ of AP, and join SQyand let p^, parallel to PQ, meet it in q, and draw qd per-pendicular to 8D. Then Sd : SD :: 8q : SQ :: Sp : SP, and, if…
Mechanics · Celestial mechanics
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