Quadratrix

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)