fuchsian in a sentence

1. By the next morning I had established the existence of a class of Fuchsian functions.”

2. A Kleinian group is called a Koebe group if all its factors are elementary or Fuchsian.

3. Finitely generated quasi-Fuchsian groups are conjugate to Fuchsian groups under quasi-conformal transformations.

4. “For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions.

5. When the Jordan curve is a circle or a straight line these are just conjugate to Fuchsian groups under conformal transformations.