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 280
ngent. 234. If an equilateral hyperbola be described, having centerO and AO the semi transverse axis, the ordinate of the hyperbolais equal to the are of the catenary. For, let AR be the hyperbola, then, VN* = (NO + OA) AN= RN* ; Lemniscate. 235. DEF. The Lemniscate is the locus of the feet of… … Let CY be perpendicular on PT the tangent at the point Pin the hyperbola. CY= PF-, /. CY.CP=PF.CD =since CP = CD in the rectangular hyperbola, Draw the ordinate PM, then CT. CM=AC2 = CY. CP; /. CY : CT:: CM: CP;and CMP, CYP are right angles ; .-. / PCM= * ACY. Draw CZ perpendicular on the tangent…
Mechanics · Celestial mechanics
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
