 | Webster Wells - Geometry - 1908 - 336 pages
...the volume, H the altitude, and R the radius of the base, of a circular cone, PROP. X. THEOREM 506. The lateral or total areas of two similar cones of...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, L and I the slant heights,... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...the volume, jffthe altitude, and R the radius of the base, of a circular cone, PROP. X. THEOREM 506. The lateral or total areas of two similar cones of...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, L and I the slant heights,... | |
 | Alan Sanders - Geometry - 1908 - 396 pages
...altitudes or as the squares of the radii of their bases; and their volumes are to each other as tJie cubes of their altitudes or as the cubes of the radii of their bases. [Proof similar to that of § 1022.] 1047. EXERCISE. The volume of one of two similar cones of revolution... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...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,... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...= RR = 7P = rr r2 T 2 t 2 irr(h + r) r v irr2h r2 A2 Why? Why? Why ? PROPOSITION XIV. THEOREM 627. The lateral or total areas of two similar cones of...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
...as the cubes of the slant heights, the altitudes, or the radii of the bases. Hypothesis. S and s are the lateral areas, T and t the total areas, V and v the volumes, L and I the slant heights, H and A the altitudes, and R and r the radii of the bases, of two similar cones of revolution. 8 T... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 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. Hypothesis. S and s are the lateral areas, T and t are the total areas, V and v are the volumes, H... | |
 | 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... | |
 | Encyclopedias and dictionaries - 1920 - 934 pages
...slant heights, or of their altitudes, and 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. SIMILE, a common figure of speech, in which two things which have some strong point or points of resemblance... | |
 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...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,... | |
| |
Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. 
