Syntractrix

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A syntractrix is a curve of the form

x+\sqrt{b^2-y^2}= a \ln \frac{b+\sqrt{b^2-y^2}}{y}.
The syntractrix for a = 0.5 and b = 1.
The syntractrix for a = 0.5 and b = 1.
The syntractrix for a = 1.5 and b = 1.
The syntractrix for a = 1.5 and b = 1.

[edit] References

  • George Salmon (1879). A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on Conic Sections. Published by Hodges, Foster, and Figgis. Page 290. [1]
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