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Projective Geometry

by Norman.Galois
Tags: geometry, projective
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Norman.Galois
#1
Jan28-10, 06:04 PM
P: 43
I'm doing reading course on Projective Geometry.

I was presented this question (in the textbook, not homework):

In [itex]P_2 R[/itex], let A, B, and C be points on a line L and let A', B', and C' be points on a line L'. Prove there exists points [itex]S_1[/itex], [itex]S_2[/itex] and [itex]S_3[/itex], and lines [itex]l_1[/itex] and [itex]l_2[/itex] such that projection from L to [itex]l_1[/itex] with center [itex]S_1[/itex], ...

And it continues. The remainder is not important. What do they mean by center [itex]S_1[/itex]?

Thank you.
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radou
#2
Jan29-10, 03:18 AM
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Isn't it a fixed point in some projection?
Norman.Galois
#3
Jan29-10, 08:08 AM
P: 43
Quote Quote by radou View Post
Isn't it a fixed point in some projection?
That seems to make more sense. I'll try that out. Thanks!


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