6L-s-P4: 6L-Conical Par2-Per2 Homothetic Center

In a 6-Line we have 6 Component 5-Lines.

When constructing 6 times the Inscribed Conic Centers (5L-s-P1) of the Component 5-Lines we get Ce1, … , Ce6.

By drawing lines through Ce1, … , Ce6 parallel to the omitted line (not used line of the 5-Line in the 6-Line) we get a 6-Line called 6L-Par1. Doing the same procedure for 6L-Par1 instead of the reference 6-Line 6L-Ref we get a 2^nd generation 6-Line 6L-Par2.

By drawing lines through Ce1, … , Ce6 perpendicular to the omitted line (not used line of the 5-Line in the 6-Line) we get a 6-Line called 6L-Per1. Doing the same procedure for 6L-Per1 instead of the reference 6-Line we get a 2^nd generation 6-Line 6L-Per2.

6L-Par2 is homothetic with 6L-Per2, giving rise to a Homothetic Center 6L-s-P4.

Properties

• The points
  • 6L-s-P2 (6L-Conical Ref-Par2 Homothetic Center),
  • 6L-s-P3 (6L-Conical Ref-Per2 Homothetic Center) and
  • 6L-s-P4 (6L-Conical Par2-Per2 Homothetic Center) are collinear.

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