| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 488 pages
...if the volume equals 80 IT. PROPOSITION XXXII. THEOREM 688. 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;... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...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 the cubes of the radii of their bases.** Hypothesis. S and s are the lateral areas, T and t are the total areas, V and v are the volumes, H... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...the 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.** Hypothesis. $ and s are the lateral areas, T and t the total areas, F~and v are the volumes, L and... | |
| John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...bottom and 1 in. in diameter at the PYRAMIDS AND CONES 417. Theorem. — The lateral or the total areas **of two similar cones of revolution are to each other as the** squares of the slant heights, the altitudes, or the radii of the bases ; and their volumes are to each... | |
| William Betz - Geometry - 1916 - 536 pages
...irr^h r2/; i^ A8 '*" ? == Trr'Vi' = /W = r*5 = A7"1' Why? 888. 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... | |
| William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...Trrh + 2 77T2 = 2 7i r'h' r'2 h'2 PROPOSITION VI. THEOREM 888. 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, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...§ 569. Why? QED PROPOSITION XII. THEOREM 631. Similar cones of revolution are to each other as thi **cubes of their altitudes, or as the cubes of the radii of their bases.** Given two similar cones of revolution with their volumes denoted by V and F7, their radii by r and... | |
| Eugene Randolph Smith - Geometry, Solid - 1918 - 232 pages
...this is not true if the lines AB and A'B' are perpendicular to plane P. 522. Similar cylinders are to **each other as the cubes of their altitudes, or as the cubes of the** diameters of their bases. 523. Show that the projections of parallel lines on the same plane are parallel,... | |
| Encyclopedias and dictionaries - 1920 - 934 pages
...right triangles revolving round homologous perpendicular sides. The lateral areas, or the total areas, **of two similar cones of revolution are to each other as the** squares of their radii, or of their slant heights, or of their altitudes, and the volumes of similar... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...base if the volume equals 80 w. PROPOSITION XXXII. THEOREM 688. 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... | |
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