九点圆
jiǔ diǎn yuán
- nine-point circle
九点圆
九点圆[jiǔ diǎn yuán]
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九点圆在三角形的现代初等几何中是重要的。
Prominent in the modern elementary geometry of the triangle is the nine-point circle .
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在任意三角形内，三边中点，三高的垂足，以及连接顶点与垂心的三线段的中点，都在同一圆上，此圆即为三角形九点圆。
In any triangle , the midpoints of three the sides , perpendicular feet , and the midpoints between the orthocenter ( the point where the three altitudes meet ) and each of the three vertices , these nine points all lie on a circle .