5L-s-L1: 5L-Miquel Line

A 5-Line contains 5 Quadrilaterals also called 4-Lines (by Morley).

Each 5-Line has 5 Component 4-Lines.

1. So a 5-Line has 5 versions of 4L-n-P1: Miquel Points (QL-P1). They are concentric on 5L-o-Ci1 and their center is 5L-o-P2.
2. So a 5-Line has 5 versions of 4L-n-P3: Miquel Circumcenters (QL-P4). They are concentric on 5L-n-Ci1 and their center is 5L-n-P3.
3. So a 5-Line has 5 versions of 4L-n-Ci1: Miquel Circles (QL-Ci3). They have one common point 5L-n-P1.

5L-o-P2, 5L-n-P3 and 5L-n-P1 are collinear on 5L-s-L1. See also [34], QFG#710.

This collinearity is not a general property and only valid in a 5-Line and for example not in a 7-Line.

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