The construction of a sphere with respect to four given points

http://mathworld.wolfram.com/Circumsphere.html
1.We compose the equation of the circle for each of the four points.
2.We subtract the fourth equation for each of the first three equation
to get three linear equations with three unknown coordinates of the center.
3.Solving the system of three linear equations.

Sphera4p.sm (21 KiB) downloaded 115 time(s).

Thanks Ber7 ... guess what I guess,

I guess you will have more of those very educative Smath stuff, is it !

Jean

May I ask what the purpose is of setting some of the equations equal to a string with the Boolean equals operator?

Wrote

May I ask what the purpose is of setting some of the equations equal to a string with the Boolean equals operator?

It just allows one to describe the equation. Note that the assignment operator is used in parenthesis. This actually performs the assignment to the variable.

If you were to actually evaluate the expression, it would evaluate to 0 (False). This makes sense because the string is not equal to the value assigned.