 | Nathan Scholfield - 1845 - 894 pages
...other as their bases ; and cylinders of the same base arc to each other is their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their basest For the bases are as the squares of their diameters ; and the cylinders being... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...other as their bases ; and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...whole length of the element, which if called the element of contact. PROP. VII. Similar prisms and cylinders are to each other as the cubes of their altitudes, or of any other like linear dimensions. Let ABCD, EFGH be two similar prisms ; then will the Dprism CD... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...other as their bases ; and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...other as their bases; and cylinders of the same base,are to each other as their altitudes. Cor. 3. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters; and since the cylinders... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...other as their bases ; and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being... | |
 | Frederick Overman - Building - 1851 - 452 pages
...cut by a plane parallel to its base, the section will be equal, and like the base. Similar prisms and cylinders are to each other as the cubes of their altitudes, or of any like their linear dimensions. In any pyramid, a section parallel to the base is similar to the... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...each other as their bases ; and cylinders of equal bases are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of...altitudes, or as the cubes of the radii of their bases. For, the bases are as the squares of their radii (B. v., P. 13) ; and the cylinders being similar,... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...each other as their bases; and cylinders of equal bases are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of...altitudes, or as the cubes of the radii of their bases. For, the bases are as the squares of their radii (B. v., P. 13) ; and the cylinders being similar,... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...other as their bases ; and cylinders of the same base are to each other as their altitudes. Cor. II. Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. For the bases are as the squares of their diameters ; and the cylinders being... | |
| |
Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. 
