An Axiomatic Line Geometry
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 939-952
Voir la notice de l'article provenant de la source Cambridge University Press
In their classic treatment (5) Veblen and Young build n-dimensional projective geometry from points and lines. Naturally, each line becomes identified with the set of points with which it is incident, and many treatments build from points alone, postulating the existence of certain distinguished subsets of the set of points. From either point of view, some labour is required, even in the two-dimensional case, to establish duality; hence a considerable interest attaches to self-dual systems of axioms; cf. (2; 3).
Trott, Stanton. An Axiomatic Line Geometry. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 939-952. doi: 10.4153/CJM-1968-091-3
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author = {Trott, Stanton},
title = {An {Axiomatic} {Line} {Geometry}},
journal = {Canadian journal of mathematics},
pages = {939--952},
year = {1968},
volume = {20},
number = {1},
doi = {10.4153/CJM-1968-091-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-091-3/}
}
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