Osculating Circle of
Piriformx = 1 + sin t
y = cos t (1 + sin t)
|
Parametric Equation : |
x = 1 + sin t , y = a cos t (1 + sin t) |
References
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 149-151.
2d Curves : http://www.2dcurves.com/quartic/quarticp.html
Math World : http://mathworld.wolfram.com/Piriform.html
Jen-Chung Chuan : http://poncelet.math.nthu.edu.tw/disk6/atcm-02/talk/