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" As the area of a circle is proportional to the square of its diameter, it follows that the resistances of round conductors are inversely proportional to the squares of their diameters. "
The civil service arithmetic. [With] A key. [With] A key - Page 242
by Robert Johnston (F.R.G.S.) - 1879
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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...which are 6 inches and 8 inches respectively, are melted and formed into a single circular plate one inch thick. Find its diameter, having given that the area of a circle varies as the square of its diameter. 14. There are two globes of gold whose radii are r and r ; they...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 618 pages
...which are 6 inches and 8 inches respectively, are melted and formed into a single circular plate one inch thick. Find its diameter, having given that the area of a circle varies as the square of its diameter. 15. If x, y, z be variable quantities such that y + z — x is...
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Home and class book of arithmetical questions

John Stewart (of Hastings.) - Arithmetic - 1874 - 150 pages
...have 14s. 6d. between them, A and C have 11s. 6d., and B and C have 13s. 4d. ; how much has each ? 66) The area of a circle is proportional to the square of its diameter Now the diameters of a florin and of a half-crown are in the proportion of 115 : 124, and the thickness...
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The civil service arithmetic. [With] A key

Robert Johnston (F.R.G.S.) - 1877 - 326 pages
...decimals. 10. Two circular gold plates, each 1 inch thick, of which the diameters are respectively 6 and 8 inches, are melted into one plate an inch thick....a solid six-inch cube is diminished by pressure to 6| inches ; supposing the lateral expansion to be uniform throughout the mass, find accurately, to...
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Arithmetic, for use in schools

John Barter (of the science and art coll, Plymouth.) - 1877 - 328 pages
...15 per cent. ; but his customer fails, and only pays lls. 7d. in the £. How much does he lose ? 10. The area of a circle is proportional to the square of its diameter. Now the diameters of a florin and a half-crown are in the proportion of 115 : 124, and the thickness...
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Journal of the American Chemical Society, Volume 29

American Chemical Society - Chemistry - 1907 - 1042 pages
...Pitot pressure (//), allowance should be made for this fact by some method which depends upon the law, that the area of a circle is proportional to the square of its radius. If the radius is squared and this square divided into fifteen equal parts, the proper distance...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...which are 6 inches and 8 inches, respectively, are melted and formed into a single circular plate one inch thick. Find its diameter, having given that the area of a circle varies as the square of its diameter. 8. Given that the illumination from a source of light varies...
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Army and civil service examination papers in arithmetic

Arthur Dawson Clarke - 1880 - 286 pages
...decimals. 10. Two circular gold plates, each 1 inch thick, of which the diameters are respectively 6 and 8 inches, are melted into one plate an inch thick...area of a circle is proportional to the square of its radius. 11. The height of a solid six.inch cube is diminished by pressure to 5§ inches ; supposing...
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Elements of Algebra

George Albert Wentworth - Algebra - 1881 - 400 pages
...which are 6 inches and 8 inches respectively, are melted and formed into a single circular plate 1 inch thick. Find its diameter, having given that the area of a circle varies as the square of its diameter. 18. The volume of a pyramid varies jointly as the area of its...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...the symbol n. That* is, we put ?r = 3.141593 .... nr* = area of circle of radius r. 481. Corollary. The area of a circle is proportional to the square of its diameter. Circumference of the Circle. 482. AXIOM. When we increase indefinitely the number of sides of the inscribed...
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