How to sum up triangles
Algebraic Geometry
2007-05-23 v1
Abstract
We prove configuration theorems that generalize the Desargues, Pascal, and Pappus theorems. Our generalization of the Desargues theorem allows us to introduce the structure of an Abelian group on the (properly extended) set of triangles which are perspective from a point. In barycentric coordinates, the corresponding group operation becomes the addition in R^3.
Cite
@article{arxiv.math/0203022,
title = {How to sum up triangles},
author = {F. Bakharev and K. Kokhas and F. Petrov},
journal= {arXiv preprint arXiv:math/0203022},
year = {2007}
}
Comments
12 pages (LaTeX), 7 figures (epsfig)