| George Albert Wentworth - Mathematics - 1896 - 68 pages
...sphere is equivalent to four great circles. 765. Cor. 2. The areas of the surfaces of two spheres are **as the squares of their radii, or as the squares of their** diameters. 766. Cor. 3. The area of a zone is equal to the product of its altitude by the circumference... | |
| George D. Pettee - Geometry, Modern - 1896 - 272 pages
...Circumferences of circles are to each, other as their radii, or as their diameters; and the circles **as the squares of their radii, or as the squares of their** diameters. Dem. —=»~ r perim. of sim. reg. © are as radii, and areas as sq. of radii C = limit... | |
| George Albert Wentworth, George Anthony Hill - Arithmetic - 1897 - 476 pages
...sides, or the squares of their radii, or the squares of their apothems. The areas of two circles are **as the squares of their radii, or as the squares of their** diameters. 323. If a rod 3 ft. high casts a shadow 2 ft. long, how high is a tree which casts a shadow... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...the diameter of the sphere? 692. Cor. IV. Show that the areas of the surfaces of two spheres are to **each other as the squares of their radii, or as the squares of their** diameters. 693. Cor. V. Can you show that the area of a spher694. PROPOSITION XXX. Let the figure represent... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...equal to the area of four great circles. 534. COR. 2. The areas of the surfaces of two spheres are to **each other as the squares of their radii, or as the squares of their** diameters. 535. The area of a zone is equal to the product of its altitude by the circumference of... | |
| Webster Wells - Geometry - 1898 - 284 pages
...73(2 «f2 -M Jl y-- That is, <fte areas q/~ two regular polygons of the same number of sides are to **each other as the squares of their radii, or as the squares of their** apothems. A '\ PROP. VI. THEOREM. *~~«^1 350. The area, of a regular polygon is equal to one-half... | |
| Webster Wells - Geometry - 1899 - 180 pages
...For nip is the area of a great O. (?) 673. Cor. V. The areas of the surfaces of two spheres are to **each other as the squares of their radii, or as the squares of their** diameters. (The proof is left to the pupil ; compare § 372.) EXERCISES. 22. Find the area of the surface... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...Proposition 2OO. Theorem. 237. The areas of two regular polygons of the same number of sides are to **each other as the squares of their radii, or as the squares of their** apothems. Use a method of proof similar to that used in Prop. 199. Proposition 2O1. Theorem. 238. The... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...the area of the surface of a sphere. § 823 825. COR. 2. The areas of the surfaces of two spheres are **as the squares of their radii, or as the squares of their** diameters. Let R and R' denote the radii, D and I)' the diameters, and *9 and S' the areas of the surfaces... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...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 each other as the cubes of their altitudes, as the cubes of... | |
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