Geodesic
Definition of Affine Geometry by a Group of Transformations
Canadian mathematical bulletin, Tome 4 (1961) no. 3, pp. 265-278

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In his Geometric Algebra (New York, 1957) E. Artin poses the problem of co-ordinatizing an affine plane in the following terms.How little do we have to assume, from a geometric point of view, about an affine plane, in order to be able to describe its points by pairs of elements of a field, and its lines by linear equations? 
Lipman, Joe. Definition of Affine Geometry by a Group of Transformations. Canadian mathematical bulletin, Tome 4 (1961) no. 3, pp. 265-278. doi: 10.4153/CMB-1961-030-1
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     title = {Definition of {Affine} {Geometry} by a {Group} of {Transformations}},
     journal = {Canadian mathematical bulletin},
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     year = {1961},
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     number = {3},
     doi = {10.4153/CMB-1961-030-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1961-030-1/}
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