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 307
is not greater than that of the sphere. The circumscribed cylindrical surface is not less than that ofthe sphere: for if it were, let the cylindrical surface circumscribingthe sphere D E be equal to the surface of a lesser sphere A B. Leta polygon with an even number of sides be circumscribed… … BOOK THE FOURTH. 289 round D E, but it is greater than the surface of the sphere A Bwhich it circumscribes, and which is equal to the cylindrical sur-face circumscribed round D E. Hence it follows, that the cy-lindrical surface circumscribed round a sphere is not less thanthe surface of the sphere.…
Geometry
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