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a) Prove stereographic projection maps circles not containing (0,0,1) from the upper half sphere’s surface into...

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Basic Math

a) Prove stereographic projection maps circles not containing(0,0,1) from the upper half sphere’s surface into circles on the z= 0 projection plane. b) What happens under stereographicprojection to circles containing (0,0,1), or otherwise the NorthPole? Draw a sketch showing this.

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3.8 Ratings (384 Votes)
bStereographic projection of the unit sphere from the north poleonto the plane z 0 shown here in cross sectionThe unit sphere in threedimensional spaceR3 is    See Answer
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