Quadrature of a Convex Polygon and the Lune of Hippocrates

Michael Lahanas

Τετραγωνισμός : Ιπποκράτης ο Χίος

Griechische Mathematik: Hippokrates Quadratur

For false diagrams of geometrical figures are not contentious (for the resulting fallacies conform to the subject of the art)-any more than is any false diagram that may be offered in proof of a truth-e.g. Hippocrates’ figure or the squaring of the circle by means of the lunules. But Bryson’s method of squaring the circle, even if the circle is thereby squared, is still sophistical because it does not conform to the subject in hand. , a sophist around 500 BC.