TOPICS
Search

Bullet Nose

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook
BulletNose

A quartic curve with implicit equation

(a^2)/(x^2)-(b^2)/(y^2)=1
(1)

or

a^2y^2-b^2x^2=x^2y^2
(2)

and a,b>0. In parametric form,

x=+/-acost
(3)
y=bcott.
(4)

The curvature is

kappa=-(3abcottcsct)/((b^2csc^4t+a^2sin^2t)^(3/2)).
(5)

Explore with Wolfram|Alpha

References

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 127-129, 1972.Shikin, E. V. Handbook and Atlas of Curves. Boca Raton, FL: CRC Press, p. 96, 1995.

Cite this as:

Weisstein, Eric W. "Bullet Nose." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BulletNose.html

Subject classifications