 | 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 than that... | |
 | Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...a, we have the following formulas for the surface. The surfaces of two spheres are to each other an the squares of their radii, or as the squares of their diameters ; or in general, as the squares of any two homologous lines that can be drawn in the sphere. If a right... | |
 | Charles Davies, William Guy Peck - Mathematics - 1859 - 622 pages
...spherical angle, spherical triangle, spheri- . The sur?jccs of two spheres are to each other ea' polygon, as the squares of their radii, or as the squares of their diamctcre ; or in general, as the squares of any two homologous lines that can be drawn in the sphere.... | |
 | 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 — The area... | |
 | 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 — The area... | |
 | 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 — The area... | |
 | 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 they belong,... | |
 | 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 of... | |
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... as the squares of their radii, or as the squares of their... 
