 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...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. Let S, S' denote the lateral areas, T, T' the total areas, V, V the volumes, H, H' the... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...homologous sides. 6. Show that the volumes of two similar right circular cones are in the same ratio as the cubes of their altitudes, or as the cubes of the radii of their bases. 8. Show that the lateral area of the frustum of a right circular cone is equal to the sum of the circumferences... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...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. Let S, S' denote the lateral areas, T, T' the total areas, V, V the volumes, H, H' the... | |
 | Alan Sanders - Geometry - 1903 - 392 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. SOLID GEOMETRY Let S and s denote the lateral areas, E and e the entire areas, V and v the volumes,... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...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. Let S, S' denote the lateral areas, T, T' the total areas, V, V the volumes, H, H' the... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...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. H HI HYPOTHESIS. S and S' are the lateral areas, T and T the total areas, V and V the... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...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. H H' HYPOTHESIS. S and S' are the lateral areas, T and T the total areas, V and V the... | |
 | 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 - 336 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. Given S and s the lateral areas, T and t the total areas, V and v the volumes, H and h the altitudes,... | |
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Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. 
