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Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)

Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 60

An illustration from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems, 1863, leaf 60
to the area PEN,the mass of the rod is proportional to the area of the triangleA CD, and the mass of a rod of uniform density equal to thatat B, and of length AB, being in the same proportion to therectangle AB, CD, is therefore double of the mass of the rod. 7. Center of gravity of a circular arc.… … arc, P the point of contact, Qq, Er perpendicular to ac, and PMto OB. Then, since OP, OB are perpendicular to QE, qr, qr : QE :: OM : OP:: OM-. OB-, but since OM, OB are the distances of the centers of gravity ofQE and qr from OD, and QE. OM=qr. OB, the moments ofQE and qr with respect to OD are in…

Mechanics · Celestial mechanics

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More pictures from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems

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