an:01692243
Zbl 1017.51003
Abouabdillah, Driss
Contributions in geometry
FR
Rabat: ??cole Normale Sup??rieure. 54 p. (2001).
2001
b
51A05 51N10 51N20 51-02
affine space; Euclidean space; vector space; isometry group; similitude; affine transformations; fundamental theorem in affine geometry
This work contains five notes. 1. Starting from an axiomatic definition of the equipolence, some considerations about the notions of vector and affine space are given. 2. Affine transformations and some forms of the fundamental theorem in affine geometry are studied. 3. Some properties of similitudes of a Euclidean space are obtained. 4. The maximal subgroup of the group of positive isometries of an affine Euclidean space is studied. 5. The applications preserving a given oriented angle in a Euclidean plane are analyzed.
Gheorghe Piti?? (Brasov)