 | Webster Wells - Geometry - 1894 - 400 pages
...of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. 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. A sector is the same part of the... | |
 | J. R. Bevis - Geometry - 1896 - 174 pages
...you show that the areas of the circles are to each other as the squares of their radii ? 9. Show that the areas of two circles are to each other as the squares of the diameters. Also that they are to each other as the squares of the circumferences. 10. The area... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...circle is irK'. 498. COR. II. The area of a sector whose angle is n°, is i ("*")360 499. COR. III. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. PROPOSITION XIII. PROBLEM 500. Given a circle... | |
 | Michigan Schoolmasters' Club - 1896 - 28 pages
...over-shot the mark by the difficulties he introduces. Cubing a binomial such as, ( 2 X +y ) or showing that the areas of two circles are to each other as the squares of their radii, may well be left for the High School student. Such work is but additional instance... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...by its arc. 425. Cor. 2. The area of a circle equals v times the square of its radius. 426. Cor. 3. The areas of two circles are to each other as the squares of their radii. 427. Cor. 4. Similar arcs, being like parts of their respective circumferences, are... | |
 | Charles William MacCord - Slide-valves - 1897 - 188 pages
...explained before, the port area is a certain fraction of the piston area. Represent this fraction by F. The areas of two circles are to each other as the squares of their diameters, so that I : F:: D* : d\ where I = piston area; F= port area, as a fraction of piston area, given in... | |
 | Silas Ellsworth Coleman - Arithmetic - 1897 - 178 pages
...is : The ratio of the areas of two circles is equal to the ratio of the squares of their radii. Or, The areas of two circles are to each other as the squares of their radii. Taking the square root of the first and last members of (1), and interchanging them,... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...The area of a circle is irR'. 475. COR. II. The area of a sector whose angle is n° is 476. COR. III. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. 477. Find the ratio of the areas of two circles... | |
 | Frank H. Hall - Arithmetic - 1898 - 332 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 J). But the area of each circle is... | |
 | Frank H. Hall - Arithmetic - 1898 - 326 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 £ (or }). But the area of each circle... | |
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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 
