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26.16.5  Pole and 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 26.14.7) passing through the line OA.

The polar command finds the polar of a point.

Example

C:=circle(0,1); A:=point((i+1)/2); L:=polar(C,A)

The pole command finds the pole of a line.

Examples

C:=circle(0,1); L:=line(i,1); P:=pole(C,L)
affix(P)
     
1+i           

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