Geometry at its finest

[A.Smith]

1. Prove the Three Reflections Theorem for S^2

2. Prove that every Mobius transformation of the half plane maps non-Euclidean lines to non-Euclidean lines.

 

[mmm4444bot]

For exercise (1), does section 1.4 in this book help?

I can't tell. :? (I'm looking at the proof on page 10.)

After deleting the first two words, exercise (2) appears, to me, as a signature-line candidate for galactus. (I'm experiencing déjà vu.) :wink: