by Weißbach, B..

**Series:** 1996-25, Preprints

- MSC:
- 51N10 Affine analytic geometry

**Abstract:**

We give transfers of some geometrical theorems from affine pla-

nes to spaces of any dimension. The proofs by means of barycentric

coordinates show the close connection of these theorems. Generalized

are Menelaos' theorem, E. Ces`aro's theorem on twin-triangles and C.

F. Gauss' theorem on the midpoints of the diagonals in a complete

quadrilateral.

**Keywords:**