x,y Equal Distant from n points

Ben Lund · Post by **Ben Lund** » Tue Apr 01, 2014 11:49 am

I'm looking for an equation that can solve for a point that is equal distant from n number of points. I've been taught this but now cannot even find it. :) Thanks!

Stan_K · Post by **Stan_K** » Tue Apr 01, 2014 12:29 pm

Ben, you must have left part of the question out of your post. The only way for an unknown point to be equal distance from n number of other points is if all the n points define a circle and the unknown point is the radius point.

Ben Lund · Post by **Ben Lund** » Tue Apr 01, 2014 1:43 pm

Stan,
Good point! (badum ching) You are correct and maybe that's why it has been hard for me to find an equation. Any THREE points make a circle and thus only one point is the center of the circle. A fourth point may or may not be on the circle. I believe this is the same as a three point resection problem.