A line cutting two similar concentric conics

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We dilate an ellipse by factor k about its center. We observe that the segments of a chord of the outer ellipse cut off by the inner ellipse are equal in length:

Expressions

Name Input
Segment US Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Segment RT Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image