nG-n-L1

nG-n-L1 nG-Centroids Line

Consider a reference n-Gon P1…Pn and following points on the sides:

Qi divides PiPi+1 with ratio r,
Ri divides Pi Pi-1 with ratio r.

The sidelines QiRi form a second n-gon.

nG-n-L1 is the locus of nP-n-P1 of the second n-Gon with variable r and is a line through nP-n-P1 of the reference n-Gon. The point nP-n-P1 of the second n-Gon coincides with nP-n-P1 of the reference n-Gon when r= ½.

This a generalization of QG-L3 and brought to light by Eckart Schmidt. See [66], QPG#497.

Infovisual nG-n-L1 -infovisual-cvt-01.png

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