Let and be the stereographic projection of into the Riemann Sphere .

Explain why the image in of the set

by the map lies on a circle through , the north pole of .

Is it possible to do this question without finding f(C) first?

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- November 7th 2010, 09:26 PMshinnComplex Analysis (Q on Riemann Sphere)
Let and be the stereographic projection of into the Riemann Sphere .

Explain why the image in of the set

by the map lies on a circle through , the north pole of .

Is it possible to do this question without finding f(C) first? - November 7th 2010, 09:30 PMDrexel28
- November 7th 2010, 10:15 PMshinn
No, its from a final past exam paper from UNSW (unversity of new south wales) for MATH2620, November 2007. I am just working through these questions preparing for my final exam and they don't have any solutions.