The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)
Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 313
ole sphere isequal to the surface of the sphere multipliedby a third of the radius. 294* ELEMENTS OF SOLID GEOMETRY. Let A B C be the circular sector which by its revolution roundA C describes the spherical sec tor.The v ^*^\T\E surface of the sphe-rical segment de-scribed by the arcA B is equal to… … greater than the sector A C B and equal to the sector E C F. Inthe arc E F inscribe a portion of a regular polygon, so that itssides shall not meet the arc A B. Let the polygonal sectorE C F be supposed to revolve at the same time with the arc E Fround E C. Let C I be the radius of the circle…
Geometry
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