I know if a cirlce (on S^2) does not contain N (0,0,1) then it is mapped onto the plane H as a circle. Now say the circles on S^2 are lines of latitude. When mapped by the stereographic projection they are cirlces in R^3 on the plane H. Now the only thing im not sure on is,(adsbygoogle = window.adsbygoogle || []).push({});

my claim:

When lines of latitude are mapped by the stereographic projection the radius of the circle on H, is the same radies as the circle that was projected from S^2.

I know for one thing that if the equator is mapped onto H it is the same on H as on S^2.

(great cirlces containing N are mapped to lines on H)

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# Geometry - Stereographic projection

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