[1] the axis of the parabola is orthogonal to the Simson line of P.

Here I show that

[2] the fourth intersection point D of the parabola and the circumcircle is the intersection of the circle with the line parallel to the axis passing through P.

In fact, by the property of the circumcircle the point at infinity of t

The figure displays an additional property of the parabola:

[3] It passes through points like E, which are the intersections of parallels to the axis of the parabola drawn from the vertices of the anticomplementary triangle A

IsogonalOfCircumcircle.html

IsogonalOfParabola2.html

SimsonDiametral.html

SimsonProperty.html

TriangleConics.html

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