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)
entre ofthe circle, PQ the chord of a small arc, PJf, QN perpendicularto AH. Let AOCD be the rectangle circumscribing the quadrantand generating the circumscribing cylinder. Produce J/P, NQ^ HK to meet CD in p, $-, k. Since PQis in its limiting position a tangent at P, PQ is ultimatelyperpendicular… … Jl. JEL nM Wnv IL The same Is true for each side of the inscribed polygon whenthe number is indefinitely increased. Hence the surface generated by AK^ or the surface of thespherical segment, is equal to the surface of the circumscribedcylinder cut off by the plane of the base of the segment. Cor.…
Mechanics · Celestial mechanics
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