Intersection of the Focus-Tangent Perpendicular with the Horizontal from the Point of Contact

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We examine the locus of the intersection of the perpendicular from the focus to the tangent with the horizontal from the point of contact and find it to be a cubic, closely related to the Tchirnhausen cubic.

Expressions

Name Input
Locus Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image