渐开线 圆 最早由惠更斯在考虑用于海上船舶的无摆时钟时研究。他在他的第一个摆钟中使用了圆的渐开线，试图迫使摆在 旋轮线 的路径中摆动。对于半径为 半径 
的 圆 ，
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(1)
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(2)
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渐开线的参数方程由下式给出
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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圆的渐开线
另请参阅
圆, 圆的渐屈线, 圆的渐开线踏瓣曲线, 椭圆渐开线, 山羊问题, 渐开线使用 Wolfram|Alpha 探索
参考文献
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 220, 1987.Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 105, 1997.Hilbert, D. and Cohn-Vossen, S. Geometry and the Imagination. New York: Chelsea, pp. 6-7, 1999.Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 190-191, 1972.MacTutor History of Mathematics Archive. "Involute of a Circle." http://www-groups.dcs.st-and.ac.uk/~history/Curves/Involute.html.请按如下方式引用
Weisstein, Eric W. "圆的渐开线。" 来自 MathWorld--Wolfram Web 资源。 https://mathworld.net.cn/CircleInvolute.html