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" The areas of circles are to each other as the squares of their diameters, or of their radii. "
Buyers' Guide and Mechanics' Manual: For the Use of Railway Officials ... - Seite 197
1873 - 272 Seiten
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New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin - 1880 - 370 Seiten
...when the first has ground off his portion, there will remain J of that surface. Then, since the areas of circles are to each other as the squares of their diameters (Art. 431), The whole stone : part remaining : : square of diameter of the whole stone : square of...
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Mercantile Arithmetic for Book-keepers, Schools and Colleges

Richard Nelson - 1881 - 312 Seiten
...contents of the surface, or the number obtained by squaring the side of a square. 288. Tho surfaces of circles are to each other as the squares of their diameters or circumferences. 289. A triangle is a figure having three sides and three angles, or corners. If...
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The Universal Assistant, and Complete Mechanic: Containing Over One Million ...

Richard Moore - 1882 - 1024 Seiten
...Multiply the diameter by ¡3-1416, or as 7 is to 22 во is the diameter to the circumference. The areas of circles are to each other as the squares of their diameters, and a circle contains a greater area than, any other plain figure bounded by an equal outline. To COMPUTE...
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Manual of Mensuration: For Common and High Schools

Henry H. Hutton - 1882 - 178 Seiten
...consideration of the areas of the two triangles into which the diagonal divides the hgure. XXXII. The areas of circles are to each other as the squares of their diameters. Hence,— 2 8 : d 8 :: 3.1416 : XXXIII. d = ^r (xxv) = .3183 c; therefore A = (.3183c) 8 X .7854 X...
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Key to White's New Complete Arithmetic: For Teachers

Emerson Elbridge White - 1884 - 144 Seiten
...diameter. 1 1. 32 : 24 2 : : 1 : Ans. — 64, no. of small circles in larger circle. Since the areas of circles are to each other as the squares of their diameters (Art. 372, prin. 3), the circle whose diameter is 3 inches is to the circle whose diameter is 24 inches...
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Union Pacific Employes' Magazine, Band 1

1886 - 414 Seiten
...an equal circle. Side of Sq.x3.545— cir. of an equal circle. RxO.28318— cir. Cir- 8.1416— D. Any circle whose diameter is double that of another contains four times the area of the other. The area of a circle is equal to the area of a triangle whose base equals the circumferance and whose...
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Handbook for Gas Engineers and Manager: By Thomas Newbigging ...

Thomas Newbigging - 1889 - 602 Seiten
...Royal Royal . . . Medium . Demy EPITOME OF MENSURATION. Of the Circle, Cylinder, and Sphert. The areas of circles are to each other as the squares of their diameters. The diameter of a circle being 1, its circumference equals 8-1416. The diameter of a circle multiplied...
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Hand-book of Modern Steam Fire-engines: Including the Running, Care and ...

Stephen Roper - 1889 - 422 Seiten
...1,440,000, gives the work in workmandays. MENSURATION OF THE CIRCLE, CYLINDER, SPHERE, ETC. 1. The areas of circles are to each other as the squares of their diameters. 2. The diameter of a circle being 1, its circumference equals 3.1416. 3. The diameter of a circle is...
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Safety-valves: Their History, Antecedents, Invention and Calculation

William Barnet Le Van - 1892 - 178 Seiten
...a breadth very considerable in proportion to the diameter closed by the valve; and since the areas of circles are to each other as the squares of their diameters, the area of the circle circumscribed by the outer border of the valve sit is materially larger than...
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The Iron-founder: A Comprehensive Treaties on the Art of Moulding. Including ...

Simpson Bolland - 1892 - 408 Seiten
...USEFUL RULES OF MENSURATION. MENSURATION OF THE CIRCLE, CYLINDER, SPHERE, SQUARE, ETC. (1) The areas of circles are to each other as the squares of their diameters. (2) The diameter of a circle being 1, its circumference equals 3.1416. (3) The diameter of a circle...
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