imagine a semi circle (x-2)+y^2=2 so centre (2,0) and radius 2 for the upper half plane,
call the semi circle p.
I need to give the formula for the reflection across p (hyperbolic reflection)
i then have points S=4+3i for example where i need to find i can make stabby attempts but half the other questions depend on getting the correct formula for .
thanks,,v desperate.
A hyperbolic reflection in the Poincare Half-Plane is an inversion. If we choose to think of the upper half plane as the complex plane then inversions are actually Mobius transformations.