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- Thread starter JyN
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Why can't trigonometry-like relationships exist for non-square hyperbolas and ellipses?

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tiny-tim

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A slight problem occurs if you want to extend that to an ellipse because an ellipse is defined by two variables, major axis and minor axis. It would be interesting how to define an elliptic angle, length of arc of an ellipse over major axis or minor axis or their algebraic combination? But in either case, I don't know how this could be useful other than perhaps in an elliptical coordinate system.

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Here's one that might be of interest:

http://www.und.edu/instruct/schwalm/MAA_Presentation_10-02/handout.pdf

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