Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 342
represents the base of the circumscribing cylinder.And 2rtr represents its altitude. , Therefore STt^j-^ is its solidity. Hence, the solid required is Jive-eighths of (he circumscribingcylinder. (Art. 110.) Now conceive the curve to revolve on the axisof Y, iVthe center of revolution, and iVP the… … GEOMETRICAL INTEGRALS. 333 To solve this problem we must ob- e^b^^^^^^^^^bhb < tain a new and corresponding expres- ra^^^^^^^^^^^BB i sion for the differential of the volume. It is obvious that ydx is the differ-ential of the revolving surface. Thi^revolving at the extremity of the ra-dius X,…
Geometry, Analytic · Calculus
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