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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. "
Elements of Geometry and Trigonometry: With Notes - Page 187
by Adrien Marie Legendre - 1822 - 367 pages
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Solid Geometry, Volumes 6-9

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...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 384 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,...
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Plane and Solid Geometry

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...
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Plane and Solid Geometry

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...
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Plane and Solid Geometry

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...
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Plane and Solid Geometry

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...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 412 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...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 338 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,...
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New Plane Geometry

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,...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 192 pages
...parallel. Show also that 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...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, but that the converse...
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