every Square of the Chess-board alternately, 499 
passant ; ray object being only to give a method by which 
the cavalier could be guided mechanically through the la- 
byrinth of the sixty-four squares, without the director’s seeing 
the board, but ordering the move from memory alone ; and 
the means furnished by me seem fully to meet the end in 
view. Dr. Roget’s solution of the problem is highly inge- 
nious, and it has given me much pleasure to follow his knight 
over the field. The subject having been once broached in 
your scientific Journal, it is my present aim to add in some 
degree to the materials already contributed by the learned se- 
cretary of the Royal Society. 
Those who have not gone deeply into chess are hardly 
aware that a whole library has been written upon the knight’s 
move, and ten thousand modes are printed in which the feat 
may be performed. Many of these methods are coupled 
with the most curious conditions, and must have taken long 
years to perfect. In addition to the authorities quoted by 
Dr. Roget, I append a list of works and writers, exclusively 
devoted to the problem in question. That so much time has 
been well spent, I am not prepared to admit; although the 
matter is as fair a hobby to ride as any other species of solitary 
calculation : but attached enthusiastically as I am to the prac- 
tice of chess as a game, I cannot but regret the same energies 
have not been applied to illustrate points more immediately 
connected with the conduct of our scientific sport. Many 
parts of chess, particularly the openings and endings of the 
game, are capable of mathematical demonstration; and to 
name one, the celebrated study of what should be the legiti- 
mate termination of the strife by King, Rook, and Bishop, 
against King and Rook only, has been an open question from 
earliest time. Philidor, at the head of a strong body of chess 
scribes, considers the Rook and Bishop ought to win by force ; 
while an equal number of writers entitled to authority dis- 
miss this quantum of conflicting strength as a drawn game. 
To him who shall first give a printed solution of this highly 
difficult problem, the thanks of the European chess circle 
would be eagerly and gratefully tendered ; and we should 
be proud to enrol him in the St George’s Chess Club, as the 
man who had achieved a task, compared with which the la- 
bours of Hercules were but as typical. 
To lay down a general principle by which the march of 
the knight may be unhesitatingly guided over the 64 squares 
alternately is, however difficult, possible to be done ; and this 
without burdening the memory with letters, words, figures, 
or other cumbersome elements of similar machinery. The 
following is the best, because the most simple, of the nume-^ 
2 L2 
