Projecting the Focus onto the Tangent

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We examine lines through the foci perpendicular to the tangent at a point. Take the diagonals of the trapezoid formed by the tangent, the two perpendiculars, and the line between the two foci. The locus of intersections of this diagonal form another ellipse.

Expressions

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