215 
1888-89.] Dr T. Muir on the Theory of Determinants. 
so the second is derivable in exactly the same way from a perfectly 
similar identity,* viz. 
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Many more products than three (126 in fact) arise in the latter 
case ; but, for the reason stated by Reiss, only three of them do 
not vanish. 
JACOBI (1829, 1830). 
[Exercitatio algebraica circa discerptionem singularem fractionum, 
quae plures variabiles involvunt. Crelle’s Journal , v. pp. 
344-364]. 
[De resolutione aequationum per series infinitas. Crelle's Journal , 
vi. pp. 257-286.] 
By such memoirs as these, in which Jacobi continued to use 
determinants, the functions were kept before the mathematical 
* It is perhaps a little more readily seen to be derivable from 
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