nL-n-Luc5d   nL-Ref/Per2 constructions

There are indications that the Ref/Per2 Construction applies for all ETC-points.

After checking several different ETC-points it appeared that all these ETC-points could be Ref-Per2 transformed into 4L-points.
See Ref-34, QFG#1937.
There is no indication that all these 4L-points are Ref/Per2-transferable into 5L-points.
Let X(r) be a point on the 3L-Euler line dividing X(3).X(4) with ratio r, then the Ref-Per2-transformed point will be a point on the line QL-P2.QL-P20.
Other collinear 3L-ETC-points were transformed into 4L-points on a conic.
Possibly it is a transformation of the 2nd degree.
See Ref-34, QFG#1938.
Enough indications for further research.

Ref/Per2-HC constructions

 3L-point 4L-point 5L-point 6L-point 3L-n-P2/P8 = X(2) 4L-n-Px = Midpoint (QL-P2.QL-P20) No new Ref/Per2-HC 3L-n-P3/P9 = X(3) Ref=Per2, so indefinite result Indefinite Ref/Per2-HC 3L-n-P4/P10 = X(4) 4L-n-Px InfinityPoint (QL-P2.QL-P20) Indefinite Ref/Per2-HC 3L-n-P5/P11 = X(5) Per1=Point QL-P2, so indefinite result. Indefinite Ref/Per2-HC 4L-n-P8 4L-n-P5 5L-n-P8