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Geometrical Interpretation of a few concomitants of the cubic in the Argand Plane

Published online by Cambridge University Press:  20 January 2009

W. Saddler
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Extract

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be the binary cubic whose coefficients a1, are complex numbers represented on the Argand Plane. Then if its roots are z1, z2, z3, the three corresponding points form the vertices of a triangle A1 A2 A3. Let this triad of points be said to represent the cubic. Then its Hessian

is represented by a certain pair of other points; likewise every first polar

associates a definite pair of points (z) with any given point (y).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , February 1923 , pp. 41 - 45
Copyright
Copyright © Edinburgh Mathematical Society 1923

References

* Cf. Grace and Young, Algtbra of Invariants (190) p.

* See Grace and Young, loc. cit., pp. 209, 211.

* Cf. Graoe and Young, loc. cit.