Parabola Caustic from Parallel Rays Skew to the Axis

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We look at the caustic of the parabola y=x^2 formed by a set of rays at angle θ to the x-axis.

If we rotate the caustic and scale it, we find that it is the same as the curve generated by a set of rays parallel to the y-axis.

Expressions

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