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

CHAPTER IX.

SKEW DETERMINANTS, FROM 1846 TO 1860.
UNLIKE the special form of the preceding chapter, Skew Determinants received little attention in our first volume, even
although in their case the period was extended to 1845 in order
to include the whole of Jacobi's work. Unless by implication,
indeed, they do not belong to that volume at all, the chapter
there assigned to them being really occupied with the related
functions afterwards named Pfaffians when the connection
between the two came to be recognised. The new form is thus
strictly viewable as one of the products of the Cayley-Sylvester
period.
CAYLEY, A. (1846).
[Sur quelques proprietes des determinants gauches. Crelle's
Journ., xxxii. pp. 119-123; or Collected Math. Papers, i.
pp. 332-336.]
This paper, with its author's usual directness, starts at once
with a definition, the first words being"Je donne le nom de determinant gauche 'a un determinant forme par
un systeme de quantites X,. qui satisfont aux conditions, = - X,,. (-. S).
J'appelle aussi un tel systeme, systmre gauche."
So far as can be ascertained, the English equivalent 'skew,'
although it probably was the first of the two in order of thought,
did not appear in print until a few years later.