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Collineation

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
Col`lin`e`a´tion
n.1.The act of aiming at, or directing in a line with, a fixed object.
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COLLINEATIONS AND LENZ-BARLOTTI CLASSIFICATION A one-to-one map f : S [right arrow] S of a betweenness plane onto itself is said to be a collineation if (abc) [?
Betweenness plane geometry and its relationship with convex, linear, ... by Lumiste, Ulo / Proceedings of the Estonian Academy of Science Physics/Mathematics
They include details on the affects of the collineation group and group theoretic conditions.
Handbook of finite translation planes by SciTech Book News
These axioms say that for two flags there exists one and only collineation in this group, which transports one flag into the other.
Tarski's system of geometry and betweenness geometry with the group ... by Lumiste, Ulo / Proceedings of the Estonian Academy of Science Physics/Mathematics
 
 
 
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