5G-s-Co1 5G-Schmidt Orthogonal Hyperbola

Let P1P2P3P4P5 be a 5-Gon.
Let Li be the perpendiculars from Pi wrt Pi-2Pi+2.
The intersections Si i+1 = Li ^ Li+1 define a new 5-Gon with an orthogonal circumhyperbola 5G-s-Co1.
This Orthogonal Hyperbola was found by Eckart Schmidt. See Ref-66, QPG-message#584.

5G s Co1 5G Schmidt Orthogonal Hyperbola 01

5G-s-P5 lies on 5G-s-Co1.