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

108 HISTORY OF THE THEORY OF DETERMINANTS
Having had in the foregoing to transform
a1b2 1 e a1, Iab2 a1cl 1 d4,. 1.
into a. a b2c3 i a a b2c3d4,....,
Williamson proposed the general problem in the Educ. Times, where
solutions by Townsend, Laverty, and himself duly appeared. Ohio's
more general result of 1853 was apparently unknown.
Buchwald's paper is closely on the lines of Williamson's.
RITSERT, E. (1872).
[Die Herleitung der Determinante fiir den Inhalt des Dreiecks aus
den drei Seiten. Zeitschriftf. Math. u. Phys., xvii. pp. 518-520.]
This merely gives a variant on the usual way of deducing the
four-line determinant in question from the determinant which
involves the coordinates of the vertices.
BAUER, G. (1873).
[Bemerkungen iiber einige Determinanten geometrischer Bedeutung.
Sitzungsb.... Akcad. d. Wiss. (Miinchen), ii. pp. 345-354.]
The determinants are of the type dealt with by Sylvester (1852)
and Siebeck (1862), and though there is considerable generalisation
it only concerns the geometrician.
Interesting on the same account and written about the same time
is a paper of Gundelfinger's, which, as it starts with a theorem
regarding general determinants, has already been dealt with
elsewhere.
JANNI, V. (1874).
[Dimostrazione di alcune teoremi sui determinanti. Giornale di
Mat., xii. pp. 142-145.]
One of the theorems in question is Salmon's of 1859 (Hist., ii.
p. 153). The given determinant being
Xo X, X2 X4
x, a b c d
x2 b e f g, or Asay,
xz c f h i
x4 d g i j