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" We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude. "
Elements of Geometry: With Practical Applications ... - Page 226
by George Roberts Perkins - 1847 - 308 pages
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...of a cylinder of revolution, S=2Trfi XH; PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V =...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...T = 2TrRxH + 2 TrJi' 2 = 2 7r.fi (H + B). PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V —...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 384 pages
...yd. Find the perimeter of a right section. PROPOSITION VI. THEOREM < 1018. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume of the circular cylinder, B its base, and a its altitude. Let 7< denote the volume...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...of a cylinder of revolution, S=2irRX H; XH PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V =...
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Books 10-13 and appendix

Euclid - Mathematics, Greek - 1908
...theorem of xn. 2 (see note on that proposition). The first (for the cylinder) is as follows. The volume of a cylinder is equal to the product of its base by its height. Suppose CA to be the radius of the base of the given cylinder, h its height. For brevity let...
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Solid Geometry

John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...also is independent of the number of sides of the base of the prism. Hence, T 660. THEOREM. The volume of a cylinder is equal to the product of its base by its altitude. The formula V = BXH of 606 for the volume of any prism may be taken as the formula for...
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The Thirteen Books of Euclid's Elements

562 pages
...theorem of xu. a (see note on that proposition). The first (for the cylinder) is as follows. The volume of a cylinder is equal to the product of its base by its height. Suppose CA to be the radius of the base of the given cylinder, h its height. For brevity let...
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