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An easy geometrical representation of the Sextic Covariant of a Binary Quartic

Published online by Cambridge University Press:  20 January 2009

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The following is an easy method of representing geometrically the Sextic Covariant of a Binary Quartic which I have not seen given elsewhere. It was suggested to me by my work on Bi-Circular Quartics. The usual method of representing this Covariant is to regard the Quartic as four points on a conic, when the Sextic is represented by the intersections of the conic and the sides of the Harmonic Triangle of the Quadrangle whose vertices are the points of the given Quartic. The present method has the advantage of regarding the given Binary Quartic as a Tetrad of points on a straight line.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1911