How to sum up triangles

Details How to sum up triangles How to sum up triangles

2002-03-03

arxiv.org/abs/math/0203022v1

Mathematics

Algebraic Geometry

12 pages (LaTeX), 7 figures (epsfig)

Scientific paper

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.

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