The theory of determinants in the historical order of development, by Sir Thomas Muir.

BIGRADIENTS (BORCIHARDT, 1859) 375
Now, E being Euler's product of differences, the first determinant
on the left is resolvable into
2(.3 i 2) '. (al 2, a a3). E,
as was first observed by Rosenhain in 1845 (Sept.); and the
determinant on the right is resolvable into
{ (a1 2) 5). (1) ( }2){(al a,, a,). V (a,). e (a2) (a3)}.
We thus have
ES = {(^/3). (2)} {+{(al). a2) ^(a3)}
= 2E. b23E,
and
S a= 2b23E, as before.