5L-s-Co1: 5L-Inscribed Conic


It is well known that in a system of 5 random lines a unique inscribed conic can be constructed.

Infovisual 5L-s-Co1-infovisual-cvt-01.png
Construction

See Ref-19.

  1. Given five lines a, b, c, d, e.
  2. Let A0 = cd, B0 = de, C0 = ea, D0 = ab, E0 = bc.
  3. The line from A0 through B0D0.C0E0 cuts a in A on the conic, and so on cyclically.
  4. We now have five points A, B, C, D, E on the curve.
  5. Now go further with construction 5P-s-Co1.
Properties
  • 5L-s-P1 is the center of this conic.



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