CU-2P-L1 Line through 2 given CU-points


This line CU-2P-L1 is obvious, but needs to be mentioned for reasons of completeness.

Two points on a cubic define a line through these points which is CU-2P-L1.

Bezout’s Theorem

Because of Bezout’s Theorem any line crossing a cubic has 3 intersection points. Therefore there is a 3rd intersection point of this line with the reference cubic for which it is not obvious to construct this point. Nevertheless it is possible to construct this point by the ruler only knowing 7 other points of the reference cubic which is described at CU-2P-P1. See [63].




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