以下是计算三个点构成的圆心的C++代码:

#include <iostream>
#include <cmath>
using namespace std;

struct Point {
    double x;
    double y;
};

Point findCircleCenter(Point A, Point B, Point C) {
    double a1 = B.x - A.x;
    double b1 = B.y - A.y;
    double c1 = (a1*a1 + b1*b1) / 2;

    double a2 = C.x - A.x;
    double b2 = C.y - A.y;
    double c2 = (a2*a2 + b2*b2) / 2;

    double d = a1*b2 - a2*b1;

    double x = A.x + (c1*b2 - c2*b1) / d;
    double y = A.y + (a1*c2 - a2*c1) / d;

    return {x, y};
}

int main() {
    Point A = {0, 0};
    Point B = {3, 0};
    Point C = {0, 4};

    Point center = findCircleCenter(A, B, C);

    cout << "Circle Center: (" << center.x << ", " << center.y << ")" << endl;

    return 0;
}

输出结果为:

Circle Center: (1.5, 2)

其中,findCircleCenter函数实现了计算圆心的逻辑,三个参数分别为三个点的坐标,返回值为构成的圆心坐标。该函数的实现原理可以参考这篇文章

main函数中,我们定义了三个点ABC,并调用findCircleCenter函数计算出圆心坐标,并将其输出

C++空间三点的圆心

原文地址: https://www.cveoy.top/t/topic/g6OL 著作权归作者所有。请勿转载和采集!

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