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Root Incidence Geometry Vector Space Geometry Dimension Vector Subspace Topological Space Primitive Point Free Geometry Projective Geometry Affine Geometry

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Point

In The Elements, Euclid defines a point as that which has no part.

In a vector space, an affine space, or, more generally, an incidence geometry, a point is a zero dimensional object.

In a projective geometry, a point is a one-dimensional subspace of the vector space underlying the projective geometry.

In a topology, a point is an element of a topological space.

Note that there is also the possibility for a point-free approach to geometry in which points are not assumed as a primitive. Instead, points are defined by suitable abstraction processes. (See point-free geometry.)

1	Incidence Geometry
1	Geometry
1	Vector Subspace
1	Vector Space
1	Topological Space
1	Root
1	Dimension
2	Projective Geometry
2	Primitive
2	Affine Geometry
2	Point Free Geometry