The parabola has its focus E at X(112), which is on the circumcircle. Its tangent at the vertex is the Wallace-Simson line of E and passes from the symmedian point K of the triangle. Thus, this conic is easy to construct by locating E through its corresponding Steiner line, which is the line through {H,K} (see SteinerReflected.html ).

The picture shows also the axes and focal points F

TriangleConics.html

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