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A geometric identity for Pappus' Theorem

Michael Hawrylycz

math.COarXiv:math/9409216

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.

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