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词汇 Nine point circle
分类 英语词汇 英语翻译词典
释义

Nine point circle

中文百科

九点圆 Nine-point circle

(重定向自Nine point circle)
九点圆

九点圆(又称欧拉圆费尔巴哈圆),在平面几何中,对任何三角形,九点圆通过三角形三边的中点、三高的垂足、和顶点到垂心的三条线段的中点。九点圆定理指出对任何三角形,这九点必定共圆。而九点圆还具有以下性质:

英语百科

Nine-point circle 九点圆

(重定向自Nine point circle)
The nine points
Even if the orthocenter and circumcenter fall outside of the triangle, the construction still works.
The nine-point circle is tangent to the incircle and excircles

In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are:

The nine-point circle is also known as Feuerbach's circle, Euler's circle, Terquem's circle, the six-points circle, the twelve-points circle, the n-point circle, the medioscribed circle, the mid circle or the circum-midcircle. Its center is the nine-point center of the triangle.

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