| 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 - 1913 - 484 pages
...if the volume equals 80 ir. 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... | |
| David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...by the revolution of similar right triangles about corresponding sides, prove that the lateral areas **of two similar cones of revolution are to each other as the** squares of their altitudes. 4. In Ex. 3, consider the case of the total areas. 5. Consider Ex. 3 with... | |
| Education - 1905 - 700 pages
...plane parallel to the base, the section is a polygon similar to the base. 4. Prove : The lateral areas **of two similar cones of revolution are to each other as the** squares of their altitudes. 5. Compute the area of a lune whose angle is 72 degrees on a sphere whose... | |
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