A geometric identity for Pappus' theorem.
收藏PubMed Central1994-04-12 更新2026-05-16 收录
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https://pmc.ncbi.nlm.nih.gov/articles/PMC43483/
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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.
提供机构：
National Academy of Sciences
创建时间：
1994-04-12
