1 According to Prof.[ TN: space] Skeat (Etymological Dictionary) the earliest known meaning is that of furious action, as in a charge of cavalry. The etymology, he considers, is connected with the Teutonic word rand (brim), and implies the furious and irregular action of a river full to the brim.
2 See the problem paper of Jan. 18, 1854, in the Cambridge Mathematical Tripos.
3 As, according to Mr H. Godfray, the majority of the candidates did assume when the problem was once proposed in an examination. See the Educational Times (Reprint, Vol. VII.[** TN: space] p. 99.)
4 Vide p. 68.
5 It would of course be more complete to take ten alternatives of direction, and thus to omit none of the digits; but this is much more troublesome in practice than to confine ourselves to eight.
6 Any more than we picture the shape of an equiangular spiral at the centre.