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# Finite Geometry

DOI link for Finite Geometry

Finite Geometry book

# Finite Geometry

DOI link for Finite Geometry

Finite Geometry book

ByLeo Storme

Edition 2nd Edition

First Published 2006

Imprint Chapman and Hall/CRC

Pages 27

eBook ISBN 9780429138485

## ABSTRACT

Another way of describing this plane is as follows. Let (a, b, c) ∈ V \{(0, 0, 0)}. Let (a : b : c) = {(fa, fb, fc)|f ∈ F\{0}}. Similarly define [x : y : z] = {[fx, fy, fz]|f ∈ F\{0}} for any (x, y, z) ∈ V \{(0, 0, 0)}. Now consider the symbols (a : b : c) as points and the symbols [x : y : z] as lines and say that a point (a : b : c) lies on the line [x : y : z] if and only if ax+ by + cz = 0. This gives a projective plane.