Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 337
of its radius. Again, we may conceive the triangle GAI to revolve on theaxis GA, thus forming a cone. The radius of the base of thatcone will be AI, which we will designate by y, then Tiy^ will bethe area of the base, and ny^dx will be the differential of the cone. Hence the cone itself will be… … Which is fny-.- Y the area of the base multiplied by one-thirdof the altitude. (Art. 108.) Required the volume of any solid of revolutiontas the segment of a circle, a segment of a paraboloidy the segment ofan ellipsoid, <&c. Let iV be the origin of co-ordinates,H the mdius of a circle,…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
