Fitting a curve to three points

I recently had a need to fit a curve to three points. The geometry can get somewhat complex due to the limits of finite math, however, here is JAVA applet I’ve created with a relatively simple solution to the problem. The circle can be found using only basic math calculations and a single square root.

Drag the green points around to see how the curve fits different sets of points.

Source Code: (View) (Download)

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