 | George C. Shutts - 1913 - 212 pages
...formula A=2irrh-\-2vr 2 = 2 irr (r + h) . 635. COR. IV. The total areas of two similar cylinders are to each other as the squares of their altitudes, or as the squares of their radii (or diameters). Proof. Left to the student. 4. How many feet of lumber will it take to... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...CYLINDERS AND CONES PROPOSITION XIII. THEOREM 626. The lateral or total areas of two similar cylinders of revolution are to each other as the squares of...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... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...Trrh + 2 77T2 = 2 7i r'h' r'2 h'2 PROPOSITION VI. THEOREM 888. 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 ; and their volumes are to... | |
 | William Betz - Geometry - 1916 - 536 pages
...irr^h r2/; i^ A8 '*" ? == Trr'Vi' = /W = r*5 = A7"1' Why? 888. 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 ; and their volumes are to... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...7rr2/i r r3 h3 PLANE GEOMETRY — BOOK VIII PROPOSITION XIV. THEOREM 627. The lateral or total areas of two similar cones of revolution are to each other as the squares of their slant heights, or as the squares of their altitudes, or as the squares of the radii of their... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...bottom and 1 in. in diameter at the PYRAMIDS AND CONES 417. Theorem. — The lateral or the total areas of two similar cones of revolution are to each other as the squares of the slant heights, the altitudes, or the radii of the bases ; and their volumes are to each other... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...That is, R_H_D_C rhd c' 655. THEOREM. The lateral areas or total areas of similar cylinders are to each 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 the cubes of their... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...base if the volume equals 80 w. 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 ; and their volumes are to... | |
 | 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 cones... | |
 | 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 cones... | |
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The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes... 
