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词汇 Trisectrix of Maclaurin
分类 英语词汇 英语翻译词典
释义

Trisectrix of Maclaurin

英语百科

Trisectrix of Maclaurin

The Trisectrix of Maclaurin showing the angle trisection property

In geometry, the trisectrix of Maclaurin is a cubic plane curve notable for its trisectrix property, meaning it can be used to trisect an angle. It can be defined as locus of the point of intersection of two lines, each rotating at a uniform rate about separate points, so that the ratio of the rates of rotation is 1:3 and the lines initially coincide with the line between the two points. A generalization of this construction is called a sectrix of Maclaurin. The curve is named after Colin Maclaurin who investigated the curve in 1742.

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