Arrangement Of Lines by Lambert M. Surhone,Mariam T. Tennoe,Susan F. Henssonow details from sapnaonline

High Quality Content by WIKIPEDIA articles In geometry an arrangement of lines is the partition of the plane formed by a collection of lines. Bounds on the complexity of arrangements have been studied in discrete geometry, and computational geometers have found algorithms for the efficient construction of arrangements.For any set A of lines in the Euclidean plane, one can define an equivalence relation on the points of the plane according to which two points p and q are equivalent if, for every line l of A, either p and q are both on l or both belong to the same open half-plane bounded by l.