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)
e described, varies as (00 ^-p^) . OP, POQ being the chord of the ellipse through 0. PROP. VIII. PROBLEM III. 197 PEOP. VIII. PROBLEM III. A lody moves in a semicircle PQA under the action of aforce tending to a point S so distant that the lines PS, QSdrawn from the body to that point may he… … Let FEZ be the tangent at P, ZQT perpendicular toPMS, meeting FEZ in Z, and let SNQ meet FEZin E. Then the force at P = ap^yfirp^ ultimately, if the arc PQ be indefinitely diminished, and SP may be con-sidered constant; also, by Euclid iii. 36, QE.{EN+QN) = EP\ and, since ^^ is parallel to FT, and…
Mechanics · Celestial mechanics
Internet Archive · Boston Library Consortium · Public Domain Mark 1.0. Free to use for anything.
