Let be a Möbius transformation other than the identity map. A point in is said to be a fixed point of if .
Suppose that has distinct fixed points, and . Prove that , where .
What is the image under of
(i) the circline ,
(ii) the arc ?
Let be a Möbius transformation other than the identity map. A point in is said to be a fixed point of if .
Suppose that has distinct fixed points, and . Prove that , where .
What is the image under of
(i) the circline ,
(ii) the arc ?