Concurrent lines
Lines which intersect at a single point / From Wikipedia, the free encyclopedia
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In geometry, lines in a plane or higher-dimensional space are concurrent if they intersect at a single point.
The set of all lines through a point is called a pencil, and their common intersection is called the vertex of the pencil. In any affine space (including a Euclidean space) the set of lines parallel to a given line (sharing the same orientation) is also called a pencil, and the vertex of each pencil of parallel lines is a distinct point at infinity; including these points results in a projective space in which every pair of lines has an intersection.