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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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Pi: A Source Book

J.L. Berggren, Jonathan M. Borwein, Peter Borwein - Mathematics - 2004 - 832 pages
...approximate pi are part of a venerable tradition. The earlIest lndo-European civilizations were aware that the area of a circle is proportional to the square of Its radius and that the circumference ofa circle is directly proportional to its diameter. Less clear,...
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Roadmap to the Virginia SOL: EOC Algebra II

Princeton Review (Firm) - Algebra - 2005 - 415 pages
...to L and inversely proportional to A. Here are some more word problems on proportions. Examples (a) The area of a circle is proportional to the square of its radius. If a circle's radius increases by a factor of 3, what happens to its area? (b) Sound intensity...
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Quirky Sides of Scientists: True Tales of Ingenuity and Error from Physics ...

David R Topper - Science - 2007 - 213 pages
...visible distance to Earth and its farthest, should be at least about 1 to 36 (that is, 12 to 62, since the area of a circle is proportional to the square of its radius). A prediction therefore follows from the model: the change in the relative brightness of Venus...
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Mr. Tompkins in Wonderland

George Gamow - 1964 - 112 pages
...hundred, two hundred, three hundred and so on miles from the city. He remembers from his school days that the area of a circle is proportional to the square of its radius, and expects that in the case of uniform distribution the number of stations thus counted should...
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Mr. Tompkins in Wonderland: Or, Stories of C, G, and H

George Gamow - Alice (Fictitious character : Carroll) - 1939 - 112 pages
...hundred, two hundred, three hundred and so on miles from the city. He remembers from his school days that the area of a circle is proportional to the square of its radius, and expects that in the case of uniform distribution the number of stations thus counted should...
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Calendar

University of St. Andrews - 1904 - 790 pages
...T, ac , , 4. If „ prove that Shew that if s+y±»=*+y-«,y+»-*_«+*-y aoca then a = 5. Assuming that the area of a circle is proportional to the square of the radius, it is required to divide the annular space between two concentric circles whose radii are...
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