A geometric identity for Pappus' theorem.

Abstract:

:An expression in the exterior algebra of a Peano space yielding Pappus' theorem was originally given by Doubilet, Rota, and Stein [Doubilet, P., Rota, G.-C. & Stein, J. (1974) Stud. Appl. Math. 8, 185-216]. Motivated by an identity of Rota, I give an identity in a Grassmann-Cayley algebra of step 3, involving joins and meets alone, which expresses the theorem of Pappus.

authors

Hawrylycz M

doi

10.1073/pnas.91.8.2909

keywords:

subject

Has Abstract

pub_date

1994-04-12 00:00:00

pages

2909

issue

8

eissn

0027-8424

issn

1091-6490

journal_volume

91

pub_type

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