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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 297

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 297
ater than those ofany inscribed prism, and are less than those of anycircumscribed prism. (184) This observation is applicable to the surfaces, whetherthe bases be considered as parts of them or not. (185) It is also evident, that as the number of sides of theinscribed or circumscribed prism is… … Proposition II. (186) If a cylinder and right prism have equal basesand altitudes, they will have equal volumes. Let V be the volume of the cylinder, and V that of the prism.If they be not equal, V must either be greater or less that V. First Let V be greater than V. Let a prism be inscribedir the…

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