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)
cular segment SPN. The exterior portion CBBC Is equal to the area of thesemicircle, and the whole parallelogram BCB G is the rectangle 118 NEWTON. under tlie diameter and semi-circiamference of the generatingcircle, and is equal to four times the area of the semicircle;therefore the cycloidal area… … circles on the ?lxq^ AB, Ah as diameters. J^vscw AqQ cuttingthe circles in §-, Q. Then, since the segments Aq^ AQ aresimilar, arc Aq : sircAQ :: Aq : AQ, and, if mqp, MQP beordinates to the cycloids, arcs Aq, AQ = qp, QP respectively;therefore qp : QP:: Aq : A Q, and ApP is a straight line.Also Ap…
Mechanics · Celestial mechanics
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