 | William James Milne - Geometry - 1899 - 404 pages
...of the radii of their bases ? Theorem. The volumes of similar cones of revolution are to each other as the cubes of their altitudes, or as the cubes of the radii of their bases. Data : Any two similar cones of revolution, whose altitudes are H and H', and the radii of whose bases... | |
 | Webster Wells - Geometry - 1899 - 196 pages
...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 $ and s the lateral areas, T and t the total areas, V and v the volumes, H and h the altitudes,... | |
 | Webster Wells - Geometry - 1899 - 180 pages
...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,... | |
 | 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 - 246 pages
...the cubes of their altitudes, as the cubes of their radii, or as the cubes of their slant heights. Let S and S' denote the lateral areas, T and T' the total areas, V and V' the volumes, H and H' the altitudes, R and R' the radii, L and I/ the slant heights, of two similar cones of revolution.... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...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. [Proof similar to that of ยง 1022.] .1047. EXERCISE. The volume of one of two similar cones of revolution... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...the cubes of their altitudes, as the cubes of their radii, or as the cubes of their slant heights. Let S and S' denote the lateral areas, T and T' the total areas, V and V the volumes, H and H' the altitudes, R and R' the radii, L and I/ the slant heights, of two similar cones of revolution.... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...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 volumes, H and H' the altitudes, R and R' the radii of two similar cylinders of revolution. CONCLUSION. S :... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...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 volumes, H and H' the altitudes, R and R' the radii of two similar cylinders of revolution. CONCLUSION. S :... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...squares 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. ders of revolution whose lateral areas = L and I ; whose total areas = T... | |
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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. 
