Conjugate Diameters, Parametric Location, and Areas

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We contruct conjugate diameters. The triangle formed by the conjugate radii and the line connecting the tangecy points has constant area.

Also, the areas of the two triangles formed by the projections of the conjugate radii onto the axis of the ellipse are equal. (not shown)

Expressions

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