Projective Geometry

  1. 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.
     
  2. jcsd
  3. radou

    radou 3,217
    Homework Helper

    Isn't it a fixed point in some projection?
     
  4. That seems to make more sense. I'll try that out. Thanks!
     
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