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
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3L-point
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4L-point
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5L-point
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6L-point
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3L-n-P2/P8
= X(2)
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No new Ref/Per2-HC
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3L-n-P3/P9
= X(3)
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Ref=Per2,
so indefinite result
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Indefinite Ref/Per2-HC
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3L-n-P4/P10
= X(4)
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Indefinite Ref/Per2-HC
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3L-n-P5/P11
= X(5)
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Per1=Point QL-P2,
so indefinite result.
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Indefinite Ref/Per2-HC
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4L-n-P8
= QL-P12
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4L-n-P5
= QL-P30
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5L-n-P8
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