蔓叶线




蔓叶线,有时又叫双蔓叶线是 Diocle 在公元前180年发现的曲线。
蔓叶线的标准曲线方程为:
其中a是常数。
单词 | Cissoid of Diocles |
释义 |
Cissoid of Diocles
中文百科
蔓叶线![]() ![]() ![]() ![]() 蔓叶线,有时又叫双蔓叶线是 Diocle 在公元前180年发现的曲线。 蔓叶线的标准曲线方程为: 其中a是常数。
英语百科
Cissoid of Diocles 蔓叶线![]() ![]() ![]() ![]() In geometry, the cissoid of Diocles is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio. In particular, it can be used to double a cube. It can be defined as the cissoid of a circle and a line tangent to it with respect to the point on the circle opposite to the point of tangency. In fact, the family of cissoids is named for this example and some authors refer to it simply as the cissoid. It has a single cusp at the pole, and is symmetric about the diameter of the circle which is the line of tangency of the cusp. The line is an asymptote. It is a member of the conchoid of de Sluze family of curves and in form it resembles a tractrix. |
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