# Point

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In geometry, a **point** is a unique entity in space. It is considered zero-dimensional and has no length, width or height.

It is predefined in geometry but may be defined as the intersection of two non-parallel lines in a 2D plane. In the Cartesian coordinate plane, a point can be defined by an ordered pair with an x- and y-coordinate. In the thre euiclidean space a point is characterized by a triplet of numbers. In the four-space by four dumbers.

In the more abstract sense a **point** is an element of some set, *X*,
and depending of this **ambient set**, a point could be as explained earlier
of a point could be a vector in a vectorspace, or a function between two set, a
matrix representing a linear transformation intra two vectorspaces.