A A.Smith New member Joined Aug 6, 2010 Messages 1 Aug 6, 2010 #1 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.
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 Super Moderator Joined Oct 6, 2005 Messages 10,958 Aug 6, 2010 #2 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:
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: