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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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Nelson's Common-school Arithmetic: Designed for the Use of the Lowest as ...

Richard Nelson - 1867 - 304 Seiten
...square piece of land which contains 25600 acres? Answers: 28, 168, 162, 160, 2023.85+. 288. The 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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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 Seiten
...each other in the same ratio as the diameters of the circles. QED THEORESI xv. 4 The areas or spaces of circles are to each other as the squares of their diameters or of their radii, Let A, a denote the areas or spaces of two circles, and D, d their diameters ; then...
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Practical plane and solid geometry, Band 14

Washington Hudson - 1868 - 80 Seiten
...circle having its diameter equal to the radius of another, will contain one quarter the area. The areas of circles are to each other as the squares of their diameters. Fio. 113. To divide the circumference of a circle by means of angles set off from, a tangent. If a...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 Seiten
...the second ratio in the first proportion by 2, we have C : C' : : 2 R : 2 r. 378. Cor. 2. The areas of circles are to each other as the squares of their diameters. For, multiplying the second ratio of the second proportion by 4, or 2 squared, we have A: A' : : 4...
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New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - 1869 - 332 Seiten
...(he first has ground off his portion, there will remain \ 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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The Gas Manager's Handbook ...

Thomas Newbigging - 1870 - 242 Seiten
...+ 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...
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The Quadrature and Geometry of the Circle Demonstrated

James Smith - 1872 - 330 Seiten
...inscribed circle to the square ECG F. And, let c denote the area of the circle Y. Then : Because the areas of circles are to each other as the squares of their diameters ; or, in other words, since the areas of circles are to each other as the areas of their circumscribing...
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A Catechism of High Pressure Or Non-condensing Steam Engines

Stephen Roper - 1874 - 222 Seiten
...contains a greater area than any other plane figure bounded by an equal primeter or outline. 2. The areas of circles are to each other as the squares of their diameters. 4. The diameter of a circle is equal to .31831 of its circumference. 5. The square of the diameter...
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A Manual of Arithmetic ...

Emerson Elbridge White - 1876 - 228 Seiten
...; 15625 -=- 150 == 1Щ. Page 266. 14. 32 : 242 : : 1 : Ans.; 1 X 576 -^9= 64, Ans. Since the areas of circles are to each other as the squares of their diameters (Complete Arithmetic, Art. 421, Prin. 2), the circle whose diameter is 3 inches is to the circle whose...
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Examples in Arithmetic

Samuel Pedley - 1879 - 402 Seiten
...Find the value of #Щ| + Vfff - #Жйг(12) To the square of If add the cube of If. (13) "The areas of circles are to each other as the squares of their diameters." Find the area of a circular pond whose diameter is 3J times as great as another circular pond containing...
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