| Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...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 - Mathematics - 1855 - 628 pages
...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 - Mathematics - 1859 - 624 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
...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 - Geometry - 1868 - 438 pages
...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 - Geometry - 1873 - 288 pages
...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 - Conic sections - 1876 - 376 pages
...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 - 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... | |
| J. G - 1878 - 408 pages
...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.... | |
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