Geodesic
Order in Finite Affine Planes
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 407-411

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DOI

An ordered plane [1, p. 177 ff.] is a set of undefined entities called points, together with an undefined relation of intermediacy, satisfying the following axioms: (The symbol [ABC] means ′′B is between A and C′′.) 
Beattie, Mary; Marsden, J.E.; Sharpe, R. W. Order in Finite Affine Planes. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 407-411. doi: 10.4153/CMB-1966-047-6
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     author = {Beattie, Mary and Marsden, J.E. and Sharpe, R. W.},
     title = {Order in {Finite} {Affine} {Planes}},
     journal = {Canadian mathematical bulletin},
     pages = {407--411},
     year = {1966},
     volume = {9},
     number = {4},
     doi = {10.4153/CMB-1966-047-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-047-6/}
}
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