R3.Geometry.Circle3D.From3Points C# (CSharp) Méthode

        private static void From3Points( Vector3D v1, Vector3D v2, Vector3D v3, 
			out Vector3D center, out double radius )
        {
            // Circumcenter/Circumradius of triangle (circle from 3 points)
            // http://mathworld.wolfram.com/Circumcenter.html
            // http://mathworld.wolfram.com/Circumradius.html
            // http://mathworld.wolfram.com/BarycentricCoordinates.html

            // side lengths and their squares
            double a = ( v3 - v2 ).Abs();	// Opposite v1
            double b = ( v1 - v3 ).Abs();	// Opposite v2
            double c = ( v2 - v1 ).Abs();	// Opposite v3
            double a2 = a * a;
            double b2 = b * b;
            double c2 = c * c;

            Vector3D circumCenterBary = new Vector3D(
                a2 * ( b2 + c2 - a2 ),
                b2 * ( c2 + a2 - b2 ),
                c2 * ( a2 + b2 - c2 ) );
            circumCenterBary /= (circumCenterBary.X + circumCenterBary.Y + circumCenterBary.Z);	// Normalize.
            center = BaryToCartesian( v1, v2, v3, circumCenterBary );

            double s = (a + b + c) / 2; // semiperimeter
            radius = a * b * c / ( 4 * Math.Sqrt( s * ( a + b - s ) * ( a + c - s ) * ( b + c - s ) ) );
        }