 S7rR = 4WR1. (789) Therefore, the area of the surface of a sphere is equal to the area of four great circles. 791. COR. 2. TJie areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters.  Plane and Solid Geometry: Inductive Method - Page 376by Arthur A. Dodd, B. Thomas Chace - 1898 - 406 pagesFull view - About this book
 | Arthur Schultze - 1901 - 392 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... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 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 S and »S" the areas of the surfaces of... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 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... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...surface of a sphere is equivalent to four times the area of a great circle of the sphere, 812. COR. 2. The areas of the surfaces of two spheres are to each other as the squares of their radii , or of their diameters. For, if S and S' denote the surfaces, E and Bf the radii, and D and Df the diameters... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...surface of a sphere is equivalent to four times the area of a great circle of the sphere. 812. COR. 2. The areas of the surfaces of two spheres are to each other as the squares of their radii, or of their diameters. For, if S and S' denote the surfaces, R and R' the radii, and D and D' the diameters... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...Or K=nlP. Ax. 8. Again R=% 1> :. K= — —• Ax. 8. 4 452. COR. 2. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. K _^__^_ £ _ ' "' ~'~~"~* als° '' = 453. The area of a sector is equal to one-half the product of... | |
 | George Albert Wentworth - Geometry - 1904 - 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... | |
 | Education - 1912 - 914 pages
...revolution. Proposition 15. The lateral areas, or total areas, of similar cylinders of revolution are to each other as the squares of their radii, or as the squares of their altitudes. Definition. Pyramidal surface. Pyramidal space. Edges. Faces. Vertex. Transverse section.... | |
 | Education - 1912 - 942 pages
...SYLLABUS 747 Proposition 15. The lateral areas, or total areas, of similar cylinders of revolution are to each other as the squares of their radii, or as the squares of their altitudes. Definition. Pyramidal surface. Pyramidal space. Edges. Faces. Vertex. Transverse section.... | |
 | Education - 1911 - 946 pages
...side. Through three points not in a straight line not more than one plane can be passed. The areas of two spheres are to each other as the squares of their radii; their volumes as the cubes of their radii; (like statements for other solids). The number of such statements... | |
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