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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 306

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 306
by the line A B, and the latter is equal to a cylindricalsurface whose base is equal to the revolving circle, and whosealtitude is M L. (238) Cor. — Let a tangent TT to the circle parallel to G Fbe drawn, and from G and F draw G T, F T perpendicular toG F, and meeting this tangent. By the… … 288 ELEMENTS OF SOLID GEOMETRY. will be equal to its altitude A B or M L multiplied by the cir-cumference described by B, which is a circle whose radius isB L which is equal to O I. Hence the cylindrical surfacedescribed by A B is equal to the conical surface described byA B. In the same manner the…

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