 | Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...examples of this class relating to circles, may be solved by means of the following property : — The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. NOTE. — This property of the circle is only a particular... | |
 | John Daniel Runkle - Mathematics - 1860 - 590 pages
...centre, and radius СЖ, describe a circle ; then, as is easily seen, (1) CAZ : CE* =2:1. But since the areas of two circles are to each other as the squares of their radii, it follows from (1) that the area of the circle С К is half the circle С A. In precisely... | |
 | Janes Boddely Keene - 1861 - 104 pages
...with 46-02, or just over 46 inches. Now, remembering the relations of similar figures, we know that circles are to each other as the squares of their diameters ; the square of the diameter of 6 circular gallons should therefore be 6 times the square of 1 circular gallon;... | |
 | 1862 - 756 pages
...clear cornea during delirium, and but '248 of the diameter of the clear cornea after recovery ; .and as circles are to each other as the squares of their diameters, the area of the pupil was doubled during delirium, being as 100 to 49. Among these 106 cases there were... | |
 | 1864 - 404 pages
...clear cornea during delirium, and but "248 of the diameter of the clear cornea after recovery; and as circles are to each other as the squares of their diameters, the area of the pupil was doubled during delirium, being as 100 to 49. Among these 106 cases there were... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...square of the radius multiplied by 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,... | |
 | James Stewart Eaton - Arithmetic - 1868 - 356 pages
...conversely, if the area is divided by .785398, the quotient will be the square of the diameter. 10. The areas of two circles are to each other as the squares of their radii, diameters, or circumferences. 376. Of an equilateral triangle? Of the perpendicular... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...square of the radius multiplied by 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,... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...PRINCIPLES. — 1. The area of a circle is equal to the square of its diameter multiplied by .7854. 2. The areas of two circles are to each other as the squares of their diameters. NOTE.— The above propositions can be proven by geometry. The area of a circle also equals its circumference... | |
 | Thomas Newbigging - Gas manufacture and works - 1870 - 242 pages
...5 = 6 degrees of Twaddel. EPITOME OF MENSURATION. Of the Circle, Cylinder, and Sphere. The areas of circles are to each other as the squares of their diameters. The diameter of a circle being 1, its circumference equals 3-1416. The diameter of a circle is equal 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 
