Drawing the lines: AI parallel to BC, IA' parallel to CB', FC parallel to AB and EF parallel to BA' we define a complete quadrilateral (q) having sides the lines intersecting at I and F. The conic coincides with the [nine-point-conic] of the quadrilateral. In addition to {A,B,C,A',B',C'} which become side-middles of the quadrilateral (q), the conic passes through the points F, H, I (see NinePointsConic.html ).

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