 | Charles Davies, William Guy Peck - 1855 - 592 lapas
...3. The area of a circle is - multiplied bv 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... | |
 | Charles Davies, William Guy Peck - 1855 - 628 lapas
...again subdivided into varieties, &c. For ' surface, , - 4;rr3 = The surfaces of two spheres are to each other as the squares of their radii, or as the squares as spherical angle, spherical triangle, spherical polygon, &c. SPHERICAL ANGLE. An angle included of... | |
 | Charles Davies, William Guy Peck - 1859 - 622 lapas
...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 - 1864 - 288 lapas
...the ratio 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 - 1868 - 444 lapas
...the ratio 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 ;r. 503. Theorem —... | |
 | Eli Todd Tappan - 1873 - 288 lapas
...the ratio 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... | |
 | William Guy Peck - 1876 - 376 lapas
...circumferences of two 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 - 1877 - 262 lapas
...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... | |
 | J. G - 1878 - 408 lapas
...their circumferences or of their diameters. For circles are similar figures. (2) Either the lateral or the total surfaces of similar cylinders are to each other as the squares ot tlieir radii or of their heights. Similar cylinders have their heights proportional to their radii.... | |
 | Albert Taylor Bledsoe, Sophia M'Ilvaine Bledsoe Herrick - 1872 - 496 lapas
...2' + 31 + 4' + . . . . + n' = 2n' + 3n'+n. "ireU known form, etc. 1. -. O. But these elements are to each other as the squares of their radii, or as the squares of their distances from the vertex of the cone. If, then, B denote the base of the cone, H its height, b any... | |
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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'* 
