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 117
at that point to that of anycircle whose radius is finite, is a finite ratio. 67. The curvature of a circle is the same at every point. Let A, a be any two points on a circle, A C, ac equal tangents at A, a, CB, cb subtenses perpendicular to the tangents, NEWT. H 98 NEWTON. Od perpendicular to the… … therefore the circle has the same curvature at any two points. 68. In different circles the curvature varies inversely asthe radii. In the last figure, produce CB to the circumference in E.Then, AC*= CB. CE, also, ifAC be a tangent to another circle,and A C be taken equal to A C, and the same…
Mechanics · Celestial mechanics
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
