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 312
eing thatpart of the axis included between perpen-diculars AM, D Q from the extremes of thepolygonal sector. Since the polygon is regular, the several triangles A O B, B O C, are equal and isosceles. By (249) the volume described bythe triangle A O B is equal to f ?r. O P. M N.In the same manner… … Proposition XV. (251) The volume of a spherical sector is equal to itsspherical surface multiplied by a third of theradius, and the volume of the whole 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…
Geometry
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