5P-s-P5  5P-Schmidt Point


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

Choose one of its vertices Pi.
Construct the perpendicular bisectors Lij of (Pi,Pj), where j unequal i.
In this way, Pi defines a 4-Line (Quadrilateral) formed by these perpendicular bisectors.
It appears that the Clawson-Schmidt Conjugate (QL-Tf1) wrt to this Quadrilateral of Pi is independent of the chosen Pi. This fixed point is 5P-s-P5.
This point was found by Eckart Schmidt. See Ref-34, QFG #3549.

5P s P5 Schmidt Point 02