 | Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...second. KK_ From § 211, _, From step 2, § oon BC R Then, K R2 K' Or, the areas of two similar polygons are in the same ratio as the squares of their radii, or as the squares of their apothems. THEOREM LXXVIII 284. The area of a regular polygon is equal to one half the product of its... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...be found in the Appendix, §§ 585 and 590.) 563. Cor. n. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. 564. Cor. m. The area of a sector whose angle is a° is - (See §651.) Ex. 1008. Find the area of a... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1911 - 208 pages
...lower limit to the volume of its circumscribed polyhedrons? \5. Show that the areas of two spheres are in the same ratio as the squares of their radii or of their diameters. 56. Show that the volumes of two spheres are in the same ratio as the cubes of... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...(§ 435). 539. Cor. 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. Ex. 998. Two regular hexagons are inscribed in circles whose radii are 7 inches and 8 inches,... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...circumference and its radius. C = 2 7TR. That is, But 466. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. v' TrP ''* /? '^ 7}^ For 467. A sector of a circle is the figure formed by two radii and the arc intercepted... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...its circumference and its radius. That is, But C = 466. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. S TrR2 R* If1' = ~R^ = "cT* = -D'*' 467. A sector of a circle is the figure formed by two radii and... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...area of a great circle. 380. Corollary 3. 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. 381. Zones. A zone is a portion of the surface of a sphere bounded by the circumferences of two circles... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...area of a great circle. 380. Corollary 3. 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. 381. Zones. A zone is a portion of the surface of a sphere bounded by the circumferences of two circles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...THEOREM 661. The lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their radii, or as the squares of their altitudes; and their volumes are to each other as the cubes of their radii, or as the cubes of their... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 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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... as the squares of their radii, or as the squares of their... 
