 The lateral areas, or the total areas, of two similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes...  Plane and Solid Geometry, Suggestive Method - Page 388by George Clinton Shutts - 1913 - 476 pagesFull view - About this book
 | Fletcher Durell - Geometry - 1911 - 553 pages
...total areas, of two similar cones of revolution are to each other as the squares of their radii, or as the squares of their altitudes, or as the squares of their slant heights; and their volumes are to each other as the cubes of these lines. Given two similar cones... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...total areas, of two similar cones of revolution are to each other as the squares of their radii, or as the squares of their altitudes, or as the squares of their slant heights; and their volumes are to each other as the cubes of these lines. Given two similar cones... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...XXXIII. THEOREM 715 The lateral areas, or the total areas, of two similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii.... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...XXXIII. THEOREM 715 The lateral areas, or the total areas, of two similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii.... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
....' 342 BOOK VIII 668. THEOREM. Of two similar cylinders of revolution : 1. The lateral areas are to each other as the squares of their altitudes or as the squares of the radii of their bases. II. The total areas are to each other as the squares of their altitudes or... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...PROP. V. THEOREM 494. The lateral or Mai areas of two similar cylinders of revolution (§ 480) are to each other as the squares of their altitudes, or as the squares of the radii of their bases; and their volumes are to each other as the cubes of their altitudes, or as... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...If S is the lateral area, T the total area, and H an element, then S 692. COB. 3. iMteral areas or total areas of two similar cylinders are to each other as the squares of their like dimensions. PROPOSITION XXVI. THEOREM. 693. The volume of a cylinder is equal to the... | |
 | George C. Shutts - 1913 - 212 pages
...circumference of the base and an element, or the altitude, ie, S = 2 w rh. 633. COR. II. The lateral areas of similar cylinders are to each other as the squares of their altitudes or as the squares of the radii (or diameters) of their bases. Sue. Denote the lateral areas by Si and »S 2 , the altitudes... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...XXIV. THEOREM ^ 592. The lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes or as the cubes of their radii.... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...dimensions are proportional. That is, R_H_D_C rhd c' 655. THEOREM. The lateral areas or total areas of similar cylinders are to each other as the squares...their altitudes or as the squares of their radii; and their volumes are to each other as the cubes of their altitudes or the cubes of their radii. Proof:... | |
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