Identities Generalizing the Theorems of Pappus and Desargues
Copyright policy ) Roger D. Maddux;
Identities Generalizing the Theorems of Pappus and Desargues
The Theorems of Pappus and Desargues (for the projective plane over a field) are generalized here by two identities involving determinants and cross products. These identities are proved to hold in the three-dimensional vector space over a field. They are closely related to the Arguesian identity in lattice theory and to Cayley-Grassmann identities in invariant theory.
- Iowa State University United States
projective plane over a field, Desargues theorem, Pappus theorem
projective plane over a field, Desargues theorem, Pappus theorem
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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