 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...height is 13. SOLID GEOMETRY PROPOSITION XXXIII. THEOREM 666. '77ie lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...the base, QED B = -rrR*. § 463 PROPOSITION XLI. THEOREM. 726. The lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights; and their volumes are to each... | |
 | Civil service - 1902 - 180 pages
...MECHANICS. 6. Assuming the formula for determining the solidity of a cone as proved, show that the volumes of two similar cones of revolution are to each other as the cubes of their heights. 7. Given two adjacent sides, a and b, of a triangle, und also the included... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...revolved about homologous legs as axes. PROPOSITION XIV. THEOREM 1046. The lateral or entire areas of two similar cones of revolution are to each other...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 the cubes of the radii of... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...the base, B = 7T.B2. § 463 PROPOSITION XLI. THEOREM. 726. The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...and $ = 4, find $, T and F. CONES PROPOSITION X. THEOREM 724. The lateral areas, or the 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... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...JB=4, find S, T and V. CONES ^. PROPOSITION X. THEOREM 724. The lateral areas, or the 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... | |
 | George Clinton Shutts - Geometry - 1905 - 410 pages
...the base of the cylinder of revolution. 581. COROLLARY II. The lateral areas of similar cylinders 0f revolution are to each other as the squares of their altitudes, or as the squares of the radii oj their bases. Let A, H, and R represent, respectively, the area, altitude, and the radius of the... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...= £ B x H. § 264 QED CONES PROPOSITION XXXIX. THEOREM 740 The lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...E, then B = irR2. § 464 CONES PROPOSITION XXXIX. THEOREM 740 The lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to... | |
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The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes... 
