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A Geometrical Interpretation of the Symmetrical Invariant of Three Ternary Quadratics

Published online by Cambridge University Press:  20 January 2009

T. Scott
Affiliation:
Emmanuel College, Cambridge.
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In the paper, “Sul sistema di tre forme ternarie quadratiche,” Ciamberlini has derived the complete irreducible system of concomitants for three ternary quadratics and has given a short treatment of their geometrical interpretations. Among the concomitants is the invariant (abc)2 which is symmetrical and linear in the coefficients of each quadratic. The purpose of this note is to give a geometrical interpretation of the invariant, and to extend the result for symmetrical invariants of forms in higher dimensions.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1936

References

page 258 note 1 Giorn. di Mat., Napoli 24 (1886), 141.Google Scholar

page 258 note 2 My thanks are due to Professor Turnbull who has superintended the work and given me much valuable advice and assistance.