| 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... | |
| 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;... | |
| 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;... | |
| Myron H. Lewis - Civil service - 1906 - 838 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, and also the included angle... | |
| 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... | |
| 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... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...the squares of their altitudes or as the squares of the radii of their bases. III. The volumes are to **each other as the cubes of their altitudes or as the cubes of the radii of their bases.** Given : Two similar cylin. H ders of revolution whose lateral areas = L and I ; whose total areas =... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...or as the squares of their radii, or as the squares of their slant heights. III. The volumes are to **each other as the cubes of their altitudes, or as the cubes of** their radii, or as the cubes of their slant heights. Given: Two similar cones of revolution, whose... | |
| Webster Wells - Geometry - 1908 - 329 pages
...radii of their bases ; and their volumes are to each other as the cubes of their slant heights, or **as the cubes of their altitudes, or as the cubes of the radii of their bases.** Given S and.s the lateral areas, T and t the total areas, Fand v the volumes, L and I the slant heights,... | |
| Alan Sanders - Geometry - 1908 - 396 pages
...altitudes or as the squares of the radii of their bases; and their volumes are to each other as tJie **cubes of their altitudes or as the cubes of the radii of their bases.** [Proof similar to that of § 1022.] 1047. EXERCISE. The volume of one of two similar cones of revolution... | |
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