# Quadratrix

From Encyclopedia of Mathematics

A plane curve used for the solution of the problem of the quadrature of the circle. For example: the dinostratus quadratrix, the cochleoid, the Tschirnhaus quadratrix:

$$y=a\sin\frac{\pi x}{2a},$$

and the Ozanam quadratrix:

$$x=2a\sin^2\frac{y}{2a}.$$

#### Comments

The dinostratus quadratrix is also called the Hippias quadratrix.

#### References

[a1] | Th.L. Heath, "A history of Greek mathematics" , 1–2 , Dover, reprint (1981) |

[a2] | M. Kline, "Mathematical thought from ancient to modern times" , Oxford Univ. Press (1972) |

[a3] | B.L. van der Waerden, "Science awakening" , 1 , Noordhoff (1975) (Translated from Dutch) |

[a4] | F. Gomes Teixeira, "Traité des courbes" , 1–3 , Chelsea, reprint (1971) |

**How to Cite This Entry:**

Quadratrix.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Quadratrix&oldid=33952

This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article