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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 296

An illustration from 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, leaf 296
Cor. 1.—Hence all tangent planes are parallel to theaxis, and their lines of contact are sides of the cylinder. (180) Cor. 2. — Tangent planes which pass through the ex-tremities of the same diameter of the base are parallel, and viceversa. (181) Def. — If the base of a cylinder be divided at three… … 0 78 ELEMENTS OF SOLID GEOMETRY. a pair of adjacent sides, these planes will formprism whose sides are those of the cylinder passingthrough the points of division, and whose bases areformed by the chords of the arcs into which the cir-cular bases of the cylinder are divided. Such aprism is said to…

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