 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...of a circle is IT multiplied by the square of the radius. Hence, any two circles are to each other as the squares of their radii, or as the squares of their diameters, or generally as the squares of any two homologous lines. 4. The area of a circle is less... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...of the circumference to the diameter. 9O1. Corollary. — The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 502. Corollary — When the radius is unity, the area is expressed by a. 503. Theorem —... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...of the circumference to the diameter. 501. Corollary — The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 5O3. Corollary. — When the radius is unity, the area is expressed by -. 503. Theorem —... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...of the circumference to the diameter. 501. Corollary — The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 502. Corollary — When the radius is unity, the area is expressed by TT. <3©3. Theorem... | |
 | David Munn - 1873 - 160 pages
...therefore, that the lateral surfaces, or the total surfaces of similar cylinders, are to each other as the squares of their radii, or as the squares of their heights. Cor. 2. — If h = r, that is, if the height be equal to the radius of the base, the lateral... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...circles are to each other as their radii, or as their diameters, and their areas are to each other as the squares of their radii, or as the squares of their diameters. Cor. 2. Because similar sectors and similar segments are like parts of the circles to which... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 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... | |
 | 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... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...by , 733, f - jg -£• Also S_*(2B)2_Iy '-~ That is, the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters. 364 PROPOSITION XII. THEOREM. 735. The volume, of a spherical sector is equal to the area... | |
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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'* 
