Tschirnhausen cubic

From Wikipedia, the free encyclopedia

The Tschirnhausen cubic, y2 = x3 + 3x2.
The Tschirnhausen cubic, y2 = x3 + 3x2.

The Tschirnhausen cubic, named after the mathematician Ehrenfried Walther von Tschirnhaus, is a plane curve which is defined by either of these formulae:

y2 = x3 + 3x2
a = rcos3(θ / 3).

[edit] References

  • J. D. Lawrence, A Catalog of Special Plane Curves. New York: Dover, 1972, pp. 87-90.

[edit] External links

Languages