# Elation of a projective plane

From Groupprops

(Redirected from Elation)

## Statement

A collineation of a projective plane is termed an **elation** if it has a center(i.e., a point such that every line through that point is preserved by the collineation) and an axis (i.e., a line such that every point on the line is preserved by the collineation) containing the center.