Theorem. The hemispheric representation is conformal.

Proof. The stereographic projection preserves angle $\rightarrow ( \angle \: \text{hemispheric} = \angle \: \text{conformal Euclidean} \triangleq \angle \: \text{hyperbolic}) \rightarrow ( \angle \: \text{hemispheric} = \angle \: \text{hyperbolic}) \leftrightarrow$ hemispheric is conformal. $\Box$
2014 DEC 30 (v1.0)
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