Richard Donovan wrote:

> Suppose there are more than 2 points? Is there a formula for working out
> the point equidistant to the n points?

The points equidistant from P and Q lie on the perpendicular bisector
of the line segment PQ.

The points equidistant from P, Q and R lie on the intersection of the
perpendicular bisectors of PQ, QR and PR.  This intersection may not
exist (e.g. P=(0,0), Q=(0,1), R=(0,2)).  Alternatively, a point
equidistant from P, Q, R is the center of the circle through P, Q, R
(if it exists).  This is easily generalizable to n points.

Best wishes,

John


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