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)
PT to the axis, PV will bethe common chord required. And, if VI be drawn perpendicular to PF, meeting thenormal at Pin 7, P/will be the diameter of curvature at P. 86. To find the radius of curvature of a curve defined hythe relation between the radius vector and the perpendicular fromthe pole on… … secting in 0, and P U perpendicular to /SP, and let yST, PYintersect in W. A semicircle on SP as diameter passes through Y and Y; .-. L YPW=L Y8Y = lP0P, and L WYP=L OFF] therefore the triangles POP, WPY are similar; .-. POiPPr.PW: YW, also PP : 8P:.PUiPY\ by similar triangles PUP, SYP, and PW=PY…
Mechanics · Celestial mechanics
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