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[edit]

The dinostratus quadratrix is also called the Hippias quadratrix.

#### References[edit]

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

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[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)