| Webster Wells - Geometry - 1908 - 338 pages
...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 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... | |
| Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...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 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,... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...bases and equal altitudes. Find the ratio of their volumes. PROPOSITION XVIII. THEOREM 897. The volumes **of two similar cones of revolution are to each other as the cubes of 'their altitudes,** as the cubes of their slant heights, and as the cubes of the radii of their bases. Given two similar... | |
| George Clinton Shutts - Geometry - 1912 - 392 pages
...altitude h and radius r by the formula V = rr2h. 637. COR. II. The volumes of two similar cylinders **of revolution are to each other as the cubes of their altitudes** and as the cubes of their radii (or their diameters). i. What must be the shape of a piece of paper... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 220 pages
...5. § 888. 6. Arg. 2. 7. § 355. PROPOSITION XVI. THEOREM 891. The volumes of two similar cylinders **of revolution are to each other as the cubes of their altitudes,** and as the cubes of the radii of their bases. Given two similar cylinders of revolution with their... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...about homologous sides as. axes. PROPOSITION XI. THEOREM 878. The lateral areas, and the total areas, **of two similar cones of revolution are to each other as the** squares of their altitudes, as the squares of their slant heights, and as the squares of the radii... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...about homologous sides as axes PROPOSITION XI. THEOREM 878. The lateral areas, and the total areas, **of two similar cones of revolution are to each other as the** squares of their altitudes, as the squares of their slant heights, and as the squares of the radii... | |
| George C. Shutts - 1913 - 212 pages
...Why? Therefore— 4. 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... | |
| George Clinton Shutts - Geometry - 1913 - 498 pages
...its altitude h and 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 Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...and the ra,dius of the base. PROPOSITION XXIX. THEOREM 614. 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... | |
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