Point (geometry)

  • in modern mathematics, a point refers usually to an element of some set called a space.

    more specifically, in euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects. that is, a point is defined only by some properties, called axioms, that it must satisfy. in particular, the geometric points do not have any length, area, volume or any other dimensional attribute. a common interpretation is that the concept of a point is meant to capture the notion of a unique location in euclidean space.[1]

  • points in euclidean geometry
  • dimension of a point
  • geometry without points
  • point masses and the dirac delta function
  • see also
  • references
  • external links

In modern mathematics, a point refers usually to an element of some set called a space.

More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects. That is, a point is defined only by some properties, called axioms, that it must satisfy. In particular, the geometric points do not have any length, area, volume or any other dimensional attribute. A common interpretation is that the concept of a point is meant to capture the notion of a unique location in Euclidean space.[1]