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# Syntractrix

Stellation diagram syntractrix is a curve of the form

\( x+\sqrt{b^2-y^2}= a \ln \frac{b+\sqrt{b^2-y^2}}{y}. \)[1]

It is the locus of a point on the tangent of a tractrix at a constant distance from the point of tangency, as the point of tangency is moved along the curve.[2]

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]

Dionysius Lardner, A system of algebraic geometry 1823, p. 261–263 [2]

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