Question

Find the point of intersection of the following 2 “lines” in the Poincare disk: (Poincare disk is all points on and interior to the unit circle)

Line 1: The hyperbolic line containing ( −2/3 , 0 ) and ( 2/3 , 0 )

Line 2: The hyperbolic line containing ( 1/3 , 1/3 ) and ( 1/3 , −1/3 )

*Note that:  Line 2 is not a "straight " line. It will be an arc of an orthogonal circle.

*Also note that: The points on Line 1 lie on a diameter and so the hyperbolic line through those points is a straight line.

Answer 1

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