Every 8-Line has 8 Component 7-Lines.
The 8 versions of 7L-s-Ci1 in an 8-Line have a common point 8L-s-P1.
At long last 8L-s-P1 is derived as follows:
• in a 5-Line there is the center of the inscribed conic 5L-s-P1,
• in a 6-Line the 6 versions of 5L-s-P1 lie on a conic 6L-s-Co1,
• in a 7-Line the 7 versions of 6L-s-Co1 have 3 common points defining circumcircle 7L-s-Ci1,
• in an 8-Line the 8 versions of 7L-s-Ci1 coincide in 8L-s-P1.
It looks like there is no succession in this range at a higher n-level.
The 8 versions of 7L-s-Ci1 in an 8-Line have a common point 8L-s-P1.
At long last 8L-s-P1 is derived as follows:
• in a 5-Line there is the center of the inscribed conic 5L-s-P1,
• in a 6-Line the 6 versions of 5L-s-P1 lie on a conic 6L-s-Co1,
• in a 7-Line the 7 versions of 6L-s-Co1 have 3 common points defining circumcircle 7L-s-Ci1,
• in an 8-Line the 8 versions of 7L-s-Ci1 coincide in 8L-s-P1.
It looks like there is no succession in this range at a higher n-level.
