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.


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