# Line (geometry)

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In geometry, a **line** is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist embedded in two, three, or higher dimension spaces. The word *line* may also refer to a line segment in everyday life, which has two points to denote its ends (*endpoints*). A line can be referred to by two points that lie on it (e.g. ) or by a single letter (e.g. ).

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Euclid described a line as "breadthless length" which "lies evenly with respect to the points on itself"; he introduced several postulates as basic unprovable properties from which he constructed all of geometry. * Euclidean line* and

*Euclidean geometry*are terms introduced to avoid confusion with generalizations introduced since the end of the 19th century, such as non-Euclidean, projective and affine geometry.