割圆曲线由希腊的希皮亚斯于公元前 430 年发现，后来由迪诺斯特拉图斯于公元前 350 年研究（MacTutor Archive）。它可以用于三等分角，或更一般地，将一个角分成任意整数个相等的部分，以及化圆为方。
它具有极坐标方程
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(1)
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相应的参数方程为
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(2)
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(3)
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(4)
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(5)
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 |  | ![1/2[t+cot^(-1)(cott-tcsc^2t)-tan^(-1)(t/(tcott-1))]](/images/equations/QuadratrixofHippias/Inline12.svg) |
(6)
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对于 
。
希帕克拉斯割圆曲线
另请参阅
三等分角, 蜗线使用 Wolfram|Alpha 探索
参考文献
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 223, 1987.Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 195 and 198, 1972.Loomis, E. S. "The Quadratrix." §2.1 in The Pythagorean Proposition: Its Demonstrations Analyzed and Classified and Bibliography of Sources for Data of the Four Kinds of "Proofs," 2nd ed. Reston, VA: National Council of Teachers of Mathematics, pp. 19-20, 1968.Loy, J. "Trisection of an Angle." http://www.jimloy.com/geometry/trisect.htm#curves.MacTutor History of Mathematics Archive. "Quadratrix of Hippias." http://www-groups.dcs.st-and.ac.uk/~history/Curves/Quadratrix.html.引用为
Weisstein, Eric W. "希帕克拉斯割圆曲线。" 来自 MathWorld--Wolfram 网络资源。 https://mathworld.net.cn/QuadratrixofHippias.html