查找三角形的圆心[不使用指南针] [英] Find Circum Center of Three point of Triangle [Not using Compass]

问题描述

我试图找到给定三角形的外部中心 ...... ..

注意：所有这三点是与X，Y和Z共坐标平均值点在3D中我知道外心是右等分线相交的点。

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但是为此，我必须找到每一边的中间点，然后右边平分线，然后......的这个交点是很长的，并且有些过程错误......

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是否没有任何公式，只需要输入这三个三角形的点并给出三角形的Circumcenter ......？

谢谢.........

解决方案

受限制的圈子根据做t和交叉产品的三个顶点矢量。如果你对此感兴趣，它也有一个半径圆的公式。

I am trying to find circumcenter of Given Three point of Triangle……..

NOTE: all these three points are with X,Y and Z Co-Ordinate Means points are in 3D

I know that the circumcenter is the point where the right bisectors intersect….

But for that I have to find middle point of each side then the right bisectors and then intersection point of that …..this is long and error some process……

Is there not any formula which just takes as input these three points of triangle and giving us the Circumcenter of Triangle ……?

Thanks………

解决方案

The wiki page on Circumscribed circle has it in terms of dot and cross products of the three vertex vectors. It also has a formula for the radius of the circle, if you are so interested.

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