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13.17.5 Pole and polar: pole polar

Given a circle centered at O, a point A is a pole and a line L is the corresponding polar if L is the line passing through the inversion of A with respect to the circle (see Section 13.15.7) passing through the line OA.

The polar command finds the polar of a point.

Example

Input:

polar(circle(0,1),(i+1)/2)

Output:


The pole command finds the pole of a line.

Examples


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