5G-s-P9   5G-Schmidt Point

Let P1P2P3P4P5 be a Pentagon.

The 5 circles through each set of 3 consecutive vertices have 5 further intersections Q1,Q2,Q3,Q4,Q5 denoted by Qi (i=1,2,3,4,5).

There are 5 circles (Qi, Pj, Pj+1) (i=fixed, j=1,…5) of which 2 coincide with one of the other circles. The centers of the 3 remaining circles form a new circle, called Qi-circle in the drawing.

There are 5 Qi-circles (i=1,2,3,4,5).

The 10 mutual radical axes of these 5 Qi-circles have a common point 5G-s-P9.

This point was found by Eckart Schmidt. See [66], QPG-messages #612, #624.

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