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XX.—Note on Cayley's Elimination-problem involving Superfluous Data

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

1. The given set of equations in question is

and the problem was solved by Cayley in the Quarterly Journal of Mathematics, viii, pp. 183–185. The method was peculiar and is still interesting. He introduced three additional unknowns, deduced a fresh set of five equations, from which he then proceeded to eliminate four unknowns, namely, the new three and x/y.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 51 , 1932 , pp. 162 - 168
Copyright
Copyright © Royal Society of Edinburgh 1932

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References

page 162 note * Coll. Math. Papers, vi, pp. 40–42.

page 163 note * Hist., ii, p. 15.

page 168 note * Cf. Transac. R. Soc. S. Africa, xviii, pp. 301–303.