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:

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

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The dinostratus quadratrix is also called the Hippias quadratrix.

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