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Trisectrix

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Title: Trisectrix  
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Subject: Angle trisection, Trisectrix of Maclaurin, Dinostratus, Limaçon, Curves
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Trisectrix

In geometry, a trisectrix is a curve which can be used to trisect an arbitrary angle. Such a method falls outside those allowed by compass and straightedge constructions, so they do not contradict the well known theorem which states that an arbitrary angle cannot be trisected with that type of construction. There are a variety of such curves and the methods used to construct an angle trisector differ according to the curve. Examples include:

A related concept is a sectrix, which is a curve which can be used to divide an arbitrary angle by any integer. Examples include:

See also

References

  • Loy, Jim "Trisection of an Angle", Part VI
  • Weisstein, Eric W., "Trisectrix", MathWorld.
  • "Sectrix curve" at Encyclopédie des Formes Mathématiques Remarquables (In French)
  • Public Domain This article incorporates text from a publication now in the public domain
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