English

A geometric identity for Pappus' Theorem

Combinatorics 2008-02-03 v1

Abstract

An expression in the exterior algebra of a Peano space yielding Pappus' Theorem was originally given by Doubilet, Rota, and Stein. Motivated by an identity of Rota, we give an identity in a Grassmann-Cayley algebra of step 3, involving joins and meets alone, which expresses the Theorem of Pappus.

Cite

@article{arxiv.math/9409216,
  title  = {A geometric identity for Pappus' Theorem},
  author = {Michael Hawrylycz},
  journal= {arXiv preprint arXiv:math/9409216},
  year   = {2008}
}

Comments

3 pages