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Archimedes Curves

Gordon A. Swain
The College Mathematics Journal
Vol. 44, No. 3 (May 2013), pp. 185-189
DOI: 10.4169/college.math.j.44.3.185
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.44.3.185
Page Count: 5
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Archimedes Curves
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Abstract

Summary We show that inside every triangle the locus of points satisfying a natural proportionality relationship is a parabola and go on to describe how this triangle-parabola relationship was used by Archimedes to find the area between a line and a parabola.

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