collinear
Speech parts
1. collinear - Adjective
2. collinear - Adjective Satellite
Meaning
lying on the same line
Source: WordNetSynonyms
Antonyms
Anagrams
Examples
A permutation of the seven points that carries collinear points (points on the same line) to collinear points is called a collineation or symmetry of the plane.
Fano subplanes A Fano subplane is a subplane isomorphic to PG(2,2), the unique projective plane of order 2. If you consider a quadrangle (a set of 4 points no three collinear) in this plane, the points determine six of the lines of the plane.
Gino Fano (1871–1952), in developing a new set of axioms for Euclidean geometry, took as an axiom that the diagonal points of any quadrangle are never collinear.
For two or more consecutive boosts that are not collinear but in different directions, the result is still a Lorentz transformation, but not a single boost.
It also shows that two quaternions commute if and only if their vector parts are collinear.
Nearby, the emperors' mausoleum Xiuliang stood, demarcated by Kappa Aquarii and three other collinear stars.