Theorem 9. The six points of Δ and Δ1 lie on a conic K = KΔ,P having center
Z.
Proof. Corresponding sides of the triangles meet on the line at infinity so an ap-
plication of the converse of Pascal’s Theorem shows that there is a conic passing
through all six vertices. The point Z is the center of symmetry taking one triangle
to the other; hence it must be the center of the conic.