Constant-Sum Figures
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This Demonstration shows four examples of interesting figures in which a quantity that depends on two others that vary stays constant as long as some geometric condition is met. The two variables are the lengths of the sides and of two squares or the diameters of two circles.
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Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
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Reference
[1] L. C. Tien, "Constant-Sum Figures," The Mathematical Intelligencer, 23(2), 2001 pp. 15–16.
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