如何通过三个点找到圆的中心的算法是什么?

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如何通过三个点找到圆的中心的算法是什么?

我在一个圆的周围有三个点:

pt A = (A.x, A.y);
pt B = (B.x, B.y);
pt C = (C.x, C.y);

如何计算圆的中心?

在Processing(Java)中实现它。

我找到了答案并实现了一个可行的解决方案:

pt circleCenter(pt A, pt B, pt C) {
    float yDelta_a = B.y - A.y;
    float xDelta_a = B.x - A.x;
    float yDelta_b = C.y - B.y;
    float xDelta_b = C.x - B.x;
    pt center = P(0,0);
    float aSlope = yDelta_a/xDelta_a;
    float bSlope = yDelta_b/xDelta_b;  
    center.x = (aSlope*bSlope*(A.y - C.y) + bSlope*(A.x + B.x)
        - aSlope*(B.x+C.x) )/(2* (bSlope-aSlope) );
    center.y = -1*(center.x - (A.x+B.x)/2)/aSlope +  (A.y+B.y)/2;
    return center;
  }

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