 | Frank H. Hall - Arithmetic - 1898 - 298 pages
...SQUARES OF OTHER MAGNITUDES. The areas of two squares are to each other as the squares of their lengths. The areas of two circles are to each other as the squares of their diameters. Observe that the ratio of the areas of the above squares is J (or J). But the area of each circle is... | |
 | Microscope and microscopy - 1898 - 250 pages
...plates. It is based on two geometrical laws, viz., that the area of a circle is equal to n U2 , and that the areas of two circles are to each other as the squares of their diameters. As will be seen from the figure, the colonometer Is made up of eight concentric circles and ninety-two... | |
 | Frank H. Hall - Education - 1898 - 296 pages
...SQUARES OF OTHER MAGNITUDES. The areas of two squares are to each other as the squares of their lengths. The areas of two circles are to each other as the squares of their diameters. Observe that the ratio of tlie areas of the above squares is f (or »). But the area of each circle... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...D', respectively. S = = ' S ' wR'* R"' and F' = f^ = ^' (§371 > j S firD 2 jy /R QiT-i \ That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. 373. Cor. HI. The area of a sector is equal to... | |
 | Frank H. Hall - Arithmetic - 1899 - 456 pages
...SQUARES OF OTHER MAGNITUDES. The areas of two squares are to each other as the squares of their lengths. The areas of two circles are to each other as the squares of their diameters. Observe that the ratio of the areas of the above squares is f (or |). But the area of each circle is... | |
 | Adna Ferrin Weber - Cities and towns - 1899 - 542 pages
...radius of ten miles of the center of the city. Moreover, by virtue of the geometrical proposition that the areas of two circles are to each other as the squares of their radii, you will quadruple the area for residences every time you double the distance traveled.... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...respectively. 463. COR. 2. The area of a circle is equal to TT times the square of its radius. ' 464. COR. 3. The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R' the radii, 465. COR. 4. Similar arcs... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...are R and R', and diameters D and D', respectively. S = irR2 = R2 ' S' irR'2 R'2' S , and That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. 373. Cor. III. The area of a sector is equal... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...respectively. 463. COR. 2. The area of a circle is equal to TT times the square of its radius. 464. COB. 3. The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and B and £' the radii, S:S' = -rrB2 : trB" = B*... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...that used in Prop. 212. In the figure there given, note that R*-r2= Proposition 215. Theorem. 252. The areas of two circles are to each other as the squares of their radii. Use a method of proof similar to that used in Prop. 213. COB. Similar sectors are to... | |
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The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R 
