7P-s-P2 CB-pivot of the 7P-Circular Cubic


The 7P-Circular Cubic 7P-s-Cu1 is invariant under the CB-conjugation 7P-s-Tf1 with a pivot.

This means that:

  • the CB-conjugate of any point on the cubic is again a point on this cubic, and
  • all lines connecting a point P on 7P-s-Cu1 and its conjugate 7P-s-Tf1(P) will pass through a common point. This common point is called the CB-pivot 7P-s-P2 and also lies on the cubic.

This special property was first mentioned by Eckart Schmidt. See [66], QPG-message #652.

Infovisual 7P-s-P2-infovisual-cvt-01.png
Properties



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