| 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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