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词汇 Carlyle circle
分类 英语词汇 英语翻译词典
释义

Carlyle circle

英语百科

Carlyle circle

Carlyle circle of the quadratic equation x2 − sx + p = 0.
Construction of regular pentagon using Carlyle circles
Construction of a regular heptadecagon using Carlyle circles
Construction of a regular 257-gon using Carlyle circles

In mathematics, a Carlyle circle (after Thomas Carlyle (1795–1881)) is a certain circle in a coordinate plane associated with a quadratic equation. The circle has the property that the solutions of the quadratic equation are the horizontal coordinates of the intersections of the circle with the horizontal axis. Carlyle circles have been used to develop ruler-and-compass constructions of regular polygons.

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