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 128
AT, BT are drawn at the extremities ofan arc AB, to prove that AT is ultimately equal to BT, when ABis indefinitely diminished. Draw TGUV in any direction making a finite angle with thetangents, and meeting the circles of curvature at A and B in UV.Then since the circle of curvature at A is the… … COR. If the subtense BD be drawn A T+ TB = AB = AD, ultimately;therefore, T is, ultimately the point of bisection of AD. 90. To find the radius and chord of curvature through thepole, at any point of an equiangular spiral. Let SP, SQ be radii drawn to two points P and Q, near to
Mechanics · Celestial mechanics
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
