 | John Reynell Morell - Geometry - 1871 - 156 pages
...equation any of the three quantities, V, h, and r, can be found if the two others are given. The volume of a cylinder is equal to the product of its base by its height. The cylinder is also considered as a 3 Geometric Elementaire, par H. Bos, Professeur au Lycee... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...altitudes, or as the squares of the radii of their bases. PROPOSITION III.— PROBLEM. . 12. The volume of a cylinder is equal to the product of its base by itg TcJ<.£. . altitude. Let the volume of the cylinder be denoted by F, its base by B, and its altitude... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...XIII., Cor. 2, B. VI.) ; and the conve* surface of the cylinder by 2TrRA. PROPOSITION II. THEOREM. The solidity of a cylinder is equal to the product of its las* by its altitude. Let ACE-G be a cylinder whose base is the circle ACE and altitude AG ; its solidity... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...altitudes, or as the squares of the radii of their bases. PROPOSITION III.— PROBLEM. 12. The volume of a cylinder is equal to the product of its base by itt altitude. Let the volume of the cylinder be denoted by F, its base by B, and its altitude by H.... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...(Theo. XXXII. Cor. 3, Bk. IV.), and the convex surface of the cylinder by THEOREM II. 341. The volume of a cylinder is equal to the product of its base by its altitude. Let ABCDEF—G be a cylinder whose base is the circle ABCDEF, and whose altitude is the line AG ; then... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...(Theo. XXXII. Cor. 3, Bk. IV.), and the convex surface of the cylinder by THEOREM II. 341. The volume of a cylinder is equal to the product of its base by its altitude. Let ABCDEF-G be a cylinder whose base is the circle ABCDEF, and whose altitude is the line AG ; then its... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...Ю ~~Í'Ir*~~R'~í' ' (H' + A") ~R' \H' GEOMETRY BOOK VII. PROPOSITION XXX. THEOREM. 623. The volume of a cylinder is equal to the product of its base by its altitude. Let V denote the volume of the cylinder AG, B its base, and H its altitude. We are to prove V = BX II.... | |
 | George Albert Wentworth - Geometry - 1877 - 426 pages
...— - 2 "• R ~ ' (H' + R') ~Я' W + Bf OKOMETHY HOOK VII. PROPOSITION XXX. THEOREM. 623. The volume of a cylinder is equal to the product of its base by its altitude. A Let V denote the volume of the cylinder AG, B its base, and H its altitude. We fire to... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...sides of the prism, its volume is equal to the product of its base by its altitude ; lience the volume of a cylinder is equal to the product of its base by its altitude. Cor. 1. If H represent the altitude of a cylinder, andR the radius of its base, the area... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...volume will approach the volume of the cone as its limit. Therefore . THEOREM XXIII. 886. The volume of a cylinder is equal to the product of its base by its altitude. Proof. Inscribe in the cylinder a prism of which the number of sides may be increased without... | |
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We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude. 
