Is there a name for such a spiral?

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Evgeny Kucherenko2017-01-17 23:15:14

Mathematics

Evgeny Kucherenko, 2017-01-17 23:15:14

Has anyone come across the helix f(x) = Sinh (x) in polar coordinates? Nowhere did I find literature on this issue, but it has a number of interesting properties. In particular, the length of an arc is expressed by an elliptic integral. Does anyone have information?

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Vitaly, 2017-01-26
@volovikovv

Wolfram Alpha, you can get something there.
https://sandbox.open.wolframcloud.com/app/objects/...