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How i solve a non linear equation with 4 unknowns??

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Nuno
Nuno 2015-5-7
关闭： MATLAB Answer Bot 2021-8-20
Hello everyone!
I'm trying to find the center(x0,y0,z0) and radius (r) of the circle/circumference. I I have 4 points with coordinates x, y and z and i need solve this system:
(x0-x1)^2+(y0-y1)^2+(z0-z1)^2=r^2
(x0-x2)^2+(y0-y2)^2+(z0-z2)^2=r^2
(x0-x3)^2+(y0-y3)^2+(z0-z3)^2=r^2
(x0-x4)^2+(y0-y3)^2+(z0-z4)^2=r^2
I need to get x0,y0,z0 and r.
Does anyone have any idea how to do this in Matlab?
Thanks

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