affine plane

affine plane

[ə′fīn ‚plān]
(mathematics)
In projective geometry, a plane in which (1) every two points lie on exactly one line, (2) if p and L are a given point and line such that p is not on L, then there exists exactly one line that passes through p and does not intersect L, and (3) there exist three noncollinear points.
References in periodicals archive ?
Let X be the affine plane k-curve defined by the datum of the polynomial F = [T.
focus on several basic designs: Steiner triple systems, latin squares, and finite projective and affine plane.
Recall that a finite Affine plane of order n must have [n.
What I've really described here is an affine plane since it does not go through the origin (0,0,0,0,0).
2] + 5 = 30 "lines" of chess piece sweeps makes the square an order 5 finite Affine plane.
The affine plane associated to the Lorentzian vector space [L.
This means that x describes the immersion of an affine plane parallel to O[x.
If the partial spread is a spread, the translation net becomes an affine plane of order [q.
The circle plane C is a Moo bius plane if and only if all derived planes are affine planes.