6P-s-P1 6P-Schmidt Point


Consider a 6-Point (Hexangle) with vertices Pi (i=1,2,3,4,5,6).

Choose one of its vertices Pi.

Construct the perpendicular bisectors Lij of (Pi,Pj), where j unequal i.

In this way Pi defines a 5-Line (Pentalateral) formed by these perpendicular bisectors.

It appears that the 5L-Schmidt Transformation (5L-s-Tf1) wrt this 5-Line of Pi is independent of the chosen Pi. This fixed point is 6P-s-P1.

This point was found by Eckart Schmidt. See [34], QFG #3551.

Infovisual 6P-s-P1-infovisual-cvt-01.png
Properties
  • 6P-s-P1 is the center of the 6P-CSC Circle (6P-s-Ci1).



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