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)
the area PRN^the mass of the rod is proportional to the area of the triangleAGD^ and the mass of a rod of uniform density equal to thatat -S, and of length AB^ being in the same proportion to therectangle AB^ CD^ is therefore double of the mass of the rod. . (7) Centre of gravity of a circular arc.… … arc, P the pomt of contact, Qq^^ Rr perpendicular to ac, and PMto OB. Then, since OP, OB are perpendicular to QR^ qr^ qr\ QR..OM.OPwOM.OB, but, since OM^ OB are the distances of the centres of gravity ofQR and qr from OB^ and QB.OM=qr.OB^ the moments ofQR and qr with respect to OD are in a ratio of…
Mechanics · Celestial mechanics
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