Quadratrix

As quadratrix (also Quadratix ) refers to curves, with the help of an area equal to a given circle square can be constructed. In addition to the quadratrix itself or a device that they recorded, this usually only ruler and compass as design tools are allowed ( see also squaring of the circle ).

More generally referred to a curve by which a square area of ​​the same can be constructed to be limited by a (not polygoniale ) cam surface as quadratrix. The quadratrix is therefore a curve which allows the (exact ) quadrature such a surface.

Examples:

  • Quadratrix of Hippias
  • Quadratrix of Tschirnhaus
  • Quadratrix of Ozanam
  • Kochleoide
Squaring the circle Michiel Hazewinkel Encyclopedia of Mathematics
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