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Published online by Cambridge University Press: 15 September 2014
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.
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.