 S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.  The Essentials of Geometry - Page 205by Webster Wells - 1899 - 395 pagesFull view - About this book
 | James Howard Gore - Geometry - 1898 - 232 pages
...equal to the area of four great circles. 534. COR. 2. The areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters. 535. The area of a zone is equal to the product of its altitude by the circumference of a great circle.... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...73(2 «f2 -M Jl y-- That is, <fte areas q/~ two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems. A '\ PROP. VI. THEOREM. *~~«^1 350. The area, of a regular polygon is equal to one-half... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...squares of the altitudes? Can you show that the lateral areas of similar cylinders of revolution are to each other as the squares of their radii, or as the squares of their altitudes ? Sug. 1. Let S, h, r and S' h', / represent the lateral surface, altitude, and radius of... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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* : Bn. 465. COB.... | |
 | 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 are to each other... | |
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