In a paper by Mr Arthur Berry, M.A., in the Proceedings of the Cambridge Philosophical Society, Volume X. Pt. I., “On the Evaluation of a certain Determinant which occurs in the mathematical theory of statistics and in that of elliptic geometry of any number of dimensions,” a remark is made that in the case of n = 3 this determinant was readily evaluated by me by means of the formulæ of spherical trigonometry. I have thought that it might be of interest to show this evaluation, but I shall merely state the determinant at once of order 3, and leave the reader to refer to the paper quoted for the general determinant.