We have no room for lengthened demonstrations, and must confine ourselves to a few instances of the latter description, all occurring in the compiler's new additions. On page 6, he overlooks the winning of a clear piece which White can effect by Q to R4, followed by P to QR3 if the B be defended. On page 22 Black can win a piece on the 16th move by P to KB4, followed by P to KKt3, and there is no chance of any counter-attack by P to KKt4, for Black may afterwards interpose the B at K4, and get the K into the corner. On page 105 a piece can be won by Black on the l0th move by B to Q5, for the Kt has no retreat, a mate being threatened at KB3. The ending of a game between Messrs. Bird and MacDonnell affords a still more remarkable illustration. There is abundant proof that the author must have examined the position at least more than once, for, by a singular error, the identical ending appears twice in the book--on pages 183 and 197,--each time with a large diagram. On each occasion a win is demonstrated for White in nine moves, while at least a piece can be gained at once by Q to K7, followed accordingly by P to Q6 dis. ch., or B to KKt5. Mr. Bird would be annoyed to make such oversights over the board; and there is no excuse for such shallow examples being recommended to the student without the least comment on their weak points. As regards the general arrangement, we have to remark that the variations sometimes seem to have been examined loosely and separately, irrespective of their relation to each other, or to the main propositions of the author in reference to the form of opening he deals with; and the brevity or length of space assigned to different forms of play have apparently been decided in a whimsical and arbitrary manner. For instance, on page 29, in the Philidor's defence, 7. Kt to KB3, is described to afford the most satisfactory and secure opening for Black. On the next page the move is repeated under the separate heading, Example II, and it looks odd enough that one single move should have received such prominence, the only addition being, "Won by Harrwitz in 40 moves," as if it were to be forced by Black in that number, while at the time the positions show little difference. But, stranger still, four pages later on (page 34) the identical variation reappears, taken from the same game between Morphy and Harrwitz (though this is not stated), with three more moves on each side added to it, but this time the remark is made, that "White has a good position." To take another example. On page 78 there is a repetition of 10 moves on each side, merely for the purpose of indicating a different 11th move for White. It is scarcely necessary to point out that in each case the stronger move should have been inserted in the main variation, while the weaker one could have been disposed of in a foot-note of one line.