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On the remarkable quadrics of a space cubic curve

Published online by Cambridge University Press:  24 October 2008

R. Vaidyanathaswamy
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Extract

In the geometry of the cubic curve Γ in space, we have to study the quadrics Q which stand in certain special relations to the curve. We shall find it convenient to refer to these relations as A, B, B′, C, C′; these are defined below.

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Type
Articles
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Mathematical Proceedings of the Cambridge Philosophical Society , Volume 26 , Issue 2 , April 1930 , pp. 206 - 219
Copyright
Copyright © Cambridge Philosophical Society 1930

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References

* Associated complex-lines were mentioned in a footnote in my paper ‘On Simplexea doubly incident with a quadric,’ Proc. Camb. Phil. Soc. Vol. 22 (1925), p. 662Google Scholar. I stated there, however, that they are conjugate lines in respect of all circumscribed and inscribed quadrics of the cubic carve. This is easily shewn to be incorrect.