That which is unique or particular to a mathematical object.

  • Synonym for attribute, characteristic, or quality, according to the mathematical context in which this term is used.
  • A mathematical object is often defined by a set of properties.


  • A square is a quadrilateral in which the four sides are isometric and the four angles are right angles. The isometry of the sides and the isometry of the angles are characteristic properties of a square.
  • A quadrilateral is a four-sided polygon. The fact of having four sides is a defining property of a quadrilateral, a property that distinguishes it within the class of polygons.

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