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Triangle models and relations between them

Published online by Cambridge University Press:  26 February 2010

P. S. Haskell
P. S. Haskell
Affiliation:
Portsmouth College of Technology.
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Extract

The model of the complete system of triangles lying in a plane is a sixfold, whose nature of course depends on the chosen definition of the geometric variable. An earlier paper [1] concentrated on the variety associated with the Schubert triangle, although it contained brief descriptions of the corresponding models for other types. We now study the relation between these sixfolds, paying particular attention to the partial dilatation which transforms the model of ordered triangles into the Schubert variety.

Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 263 - 272
Copyright
Copyright © University College London 1969

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References

1.Haskell, P. S., “Varieties representing certain systems of Schubert triangles”, Mathematika, 14 (1967), 151–160.CrossRefGoogle Scholar
2.Semple, J. G., “The triangle as a geometric variable”, Mathematika, 1 (1954), 80–88.CrossRefGoogle Scholar
3.Tyrrell, J. A., “On infinitesimal triangles”, Mathematika, 7 (1960), 10–14.CrossRefGoogle Scholar