Hyperbola

    x = a sec t   

 y = b tan t

References

• T. H. Eagles, M.A. Constructive Geometry of Plane Curves, pp. 153-188.     

• J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 79-82.

• 2d Curves : http://www.2dcurves.com/conicsection/conicsectionh.html

• Jen-Chung Chuan : http://poncelet.math.nthu.edu.tw/disk6/atcm-02/talk/

• Famous Curves Index : http://www-gap.dcs.st-and.ac.uk/~history/Curves/Hyperbola.html