| A geometric identity for Pappus' theorem. | |
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MedLine Citation:
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PMID: 11607470 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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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. |
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Authors:
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M Hawrylycz |
Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Proceedings of the National Academy of Sciences of the United States of America Volume: 91 ISSN: 0027-8424 ISO Abbreviation: Proc. Natl. Acad. Sci. U.S.A. Publication Date: 1994 Apr |
Date Detail:
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Created Date: 2001-10-18 Completed Date: 2001-12-07 Revised Date: 2008-11-20 |
Medline Journal Info:
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Nlm Unique ID: 7505876 Medline TA: Proc Natl Acad Sci U S A Country: United States |
Other Details:
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Languages: eng Pagination: 2909 Citation Subset: - |
Affiliation:
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Computer Research and Applications Group, Los Alamos National Laboratory, Los Alamos, NM 87544, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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