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 127
urvature at P. 88. To find the radius of curvature of a curve defined bythe relation between the radius vector and the perpendicular fromthe pole on the tangent. 108 NEWTON. Let PY, PPY be consecutive sides of a polygon inscribedin a curve, SY, SY perpendicular on these sides; PO, PO perpendicular… … .. PO : PP :: PW : YW; also PP : SP :: PU : PT, by similar triangles PUP, SYP ;therefore, since PW=PY ultimately, PO : SP :: PU : YW:: SP-SP : SY-8Y, ultimately.Also, if PV be the chord of curvature through S, PV : 2PO :: SY : SP;.-. PV : 2SY :: SP-SP : 8Y-8Y, ultimately. 89. Two tangents AT, BT…
Mechanics · Celestial mechanics
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