Euclidean line

Euclidean line
Dimensionality	1
Topology
Equivalent Manifold	'"`UNIQ--postMath-00000001-QINU`"' Euclidean line
Subfacets
Edges	1 Euclidean line
Hypervolumes
Edge Length	'"`UNIQ--postMath-00000002-QINU`"'

A Euclidean line is a flat, infinitely large one-dimensional space following the laws of Euclidean geometry. It is often mistaken for a line segment, which is a connected subset of the line of finite length with two points as its boundary.

A line can be used to bisect a polygon; any linear cross section of a polygon will be a line segment. The way the length of this line segment changes can give information about the structure of the polygon. Polygons can also have lines of symmetry through which they can be reflected.

Because it has no endpoints, it is topologically equivalent to the open interval. It can be considered to be an open interval of infinite length.

A true line is an object with just length that exists at an abstract level only.

in comparison to something,imagine the shadow of a 2-Dimensional space, is non-existent to the 2-Dimensional space.

See Also

Dimensionality	Negative One	Zero	One	Two	Three	Four	Five	Six	Seven	Eight	Nine	Ten	...	Aleph null
Hyperbolic space $\mathbb H^{n}$	—	—	—	Hyperbolic plane $\mathbb H^{2}$	Hyperbolic realm $\mathbb H^{3}$	Hyperbolic flune $\mathbb H^{4}$	Hyperbolic pentrealm $\mathbb H^{5}$	Hyperbolic hexealm $\mathbb H^{6}$	Hyperbolic heptealm $\mathbb H^{7}$	Hyperbolic octealm $\mathbb H^{8}$	Hyperbolic ennealm $\mathbb H^{9}$	Hyperbolic decealm $\mathbb H^{10}$	...	Hyperbolic omegealm $\mathbb H^{\aleph_0}$
Euclidean space $\R^n$	Null polytope $\emptyset$	Point $\mathbb R^{0}$	Euclidean line $\mathbb R^{1}$	Euclidean plane $\mathbb R^{2}$	Euclidean realm $\mathbb R^{3}$	Euclidean flune $\mathbb R^{4}$	Euclidean pentrealm $\mathbb R^{5}$	Euclidean hexealm $\mathbb R^{6}$	Euclidean heptealm $\mathbb R^{7}$	Euclidean octealm $\mathbb R^{8}$	Euclidean ennealm $\mathbb R^{9}$	Euclidean decealm $\mathbb R^{10}$	...	Euclidean omegealm $\mathbb R^{\aleph_0}$
Hypersphere $\mathbb S^{n}$		Point pair $\mathbb S^{0}$	Circle $\mathbb S^{1}$	Sphere $\mathbb S^{2}$	Glome $\mathbb S^{3}$	Tetrasphere $\mathbb S^{4}$	Pentasphere $\mathbb S^{5}$	Hexasphere $\mathbb S^{6}$	Heptasphere $\mathbb S^{7}$	Octasphere $\mathbb S^{8}$	Enneasphere $\mathbb S^{9}$	Dekasphere $\mathbb S^{10}$	...	Omegasphere $\mathbb S^{\aleph_0}$