Let the conic c pass through the vertices of ABC and be tangent to line L at its point Q. Take an arbitrary point R on line L. Join R and Q with the vertices of the

The property is a result of an analogous property for parabolas studied in CircumparabolaGeneration.html .

In fact, consider the projectivity (f) which fixes the vertices of ABC and maps the tripole T of L with respect to triangle ABC to the centroid of ABC. Then L maps via (f) to the line at infinity and the property reduces to the corresponding for parabolas discussed in the aforementioned reference.

CircumparabolaGeneration.html

Maclaurin.html

TriangleConics.html

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