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Inversion in a Circle

Ever wondered what the equation is for moving points from inside of a circle to outside of a circle? To see how this works, move the point P. O is the circle's center, and P is any point in the circle. P' is the inverse of P, and displays what happens to a point when you invert the circle. Explore the way point P and P' interact with each other and with point O. Click the check box 'view line'. Line e will appear, move P along this line to view how P' changes in relation to P.