| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 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. Given two similar cylinders of revolution, / and /' denoting their lateral areas, t and... | |
| George Clinton Shutts - Geometry - 1913 - 498 pages
...radius r by the formula V — 638. COR. II. The volumes of two similar cylinders of revolution are to **each other as the cubes of their altitudes or as the cubes of** their radii (or their diameters) . Proof. Left to the pupil. See § 633. 7. Which generates the greater... | |
| George C. Shutts - 1913 - 212 pages
...Complete the demonstration. 638. COR. II. The volumes of two similar cylinders of revolution are to **each other as the cubes of their altitudes or as the cubes of** their radii (or their diameters'). Proof. Left to the pupil. See § 633. 7. Which generates the greater... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 467 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. Hypothesis. S and s are the lateral areas, T and t are the total areas, V and... | |
| William Betz - Geometry - 1916 - 536 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. Given two similar cylinders of revolution, with lateral areas / and /', total areas t... | |
| William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 178 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. Given two similar cylinders of revolution, with lateral areas / and /', total areas t... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...the 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. Hypothesis. $ and s are the lateral areas, T and t the total areas, F~and v are... | |
| Eugene Randolph Smith - Geometry, Solid - 1918 - 211 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... | |
| Encyclopedias and dictionaries - 1920 - 934 pages
...of their 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... | |
| Encyclopedias and dictionaries - 1920
...or as the squares of the radii of their bases. The volumes of similar cylinders of revolution are to **each other as the cubes of their altitudes, or as the cubes of** their radii. Similar cones of revolution are those generated by similar right triangles revolving round... | |
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