| William Frothingham Bradbury - Geometry - 1880 - 260 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. For circles are regular polygons of an infinite number of sides (44); and if the circumferences... | |
| George Albert Wentworth, George Anthony Hill - Arithmetic - 1887 - 448 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... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...equal to the area of four great circles. 791. COR. 2. The areas of the surf/,ct.s of two spheres are to **each other as the squares of their radii, or as the squares of their** diameters. 792. COR. 3. The area of a zone is iqual to the product of its altitude by the circumference... | |
| George Albert Wentworth - Algebra - 1892 - 312 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 Latham Baker - Geometry, Solid - 1893 - 154 pages
...spheres upon which they are situated. COmpare § 206. ^ 308. COR. 3. The surfaces of two spheres are to **each other as the squares of their radii, or as the squares of their** diameters. V ^ 309. COR. 4. The area of a zone is equal to the product of its altitude % the circumference... | |
| George Albert Wentworth - 1894 - 318 pages
...other as the cubes of their radii, or as the cubes of their diameters. The surfaces of two spheres are **as the squares of their radii, or as the squares of their** diameters. If the heights of two right cylinders, or two right cones, are proportional to the radii... | |
| George Cunningham Edwards - Geometry - 1895 - 330 pages
...sphere although they are equal. Exercises. — 1. Show that the surfaces of any two spheres are to **each other as the squares of their radii, or as the squares of** any corresponding lines. 2. Find the surface of a sphere, the diameter of which is one and a half feet.... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...Hint.— Apply § 308. 483. COR. II. 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. PROPOSITION V. THEOREM 484. The circumference of a circle is greater than the perimeter of... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...of the sphere. Hence its area is 2irI\.' x 2 A' = 47rA' . 984. COR. V. Two spherical surfaces are to **each other as the squares of their radii or as the squares of their** diameters. PROPOSITION XI. LEMMA OS3. If a triangle revolve about an axis situated in its plane and... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1896 - 152 pages
...TT.) 268. Theorem. The area of a circle is equal to trt3. 269. Corollary. The areas of circles are to **each other as the squares of their radii, or as the squares of their** diameters. 270. Theorem. The area of a sector has the same ratio to the area of the circle that the... | |
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