Quadratrix

As quadratrix (also Quadratix ) refers to curves, one at a given with the help of circular area equal square can be constructed. In addition to the Quadratrix itself or a device that draws it, usually only compasses and rulers are permitted as construction tools (see also squaring the circle ).

Somewhat more generally, a curve is called a quadratrix, with the help of which a square of the same area can be constructed to an area delimited by a (non-polygonal) curve. The quadratrix is ​​a curve that enables the (exact) quadrature of such a surface.

Examples:

• Quadratrix des Hippias
• Archimedean spiral
• Quadratrix from Tschirnhaus
• Quadratrix from Ozanam
• Kochleoids

literature

• Charles Hutton: A Philosophical and Mathematical Dictionary . Volume 2, 1815, pp. 271–272 ( full online version )
• Petr Beckmann: A History of π . Barnes & Nobles Books 1993 (first published in St. Martin's Press 1971), p. 43
• AB Ivanov: Quadratrix . In: Michiel Hazewinkel (Ed.): Encyclopaedia of Mathematics . Springer-Verlag , Berlin 2002, ISBN 978-1-55608-010-4 (English, online ).
• Lueger, Otto: Lexicon of all technology and its auxiliary sciences , Vol. 7 Stuttgart, Leipzig 1909, p. 311 ( online copy )

Web links

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