convenient to follow the general rule, whenever there is no good reason against it, of advancing the Pawn that has no Pawn opposing it. Thus we begin by—

1. P - B 5, K - K 2.

If P - Kt 3, P - B 6; and we have a similar ending to one of those shown above. If 1...P - R 3; 2 P - Kt 5.

2. K - K 5, K - B 2; 3. P - Kt 5, K - K 2.

If 3...P - Kt 3; 4 P - B 6, and if 3...P - R 3; 4 P - Kt 6 ch, and in either case we have a similar ending to one of those already shown.

4. P - R 5,

and by following it up with P - Kt 6 we have the same ending previously shown. Should Black play 4...P - Kt 3, then R P × P, P × P; P - B 6 ch with the same result.

Having now seen the cases when the Pawns are all on one side of the board we shall now examine a case when there are Pawns on both sides of the board.

Example 10.—In these cases the general rule is to act immediately on the side where you have the superior forces. Thus we have:

1. P - K Kt 4.

It is generally advisable to advance the Pawn that is free from opposition.

Black makes an advance on the other side, and now White considers whether or not he should stop the advance. In this case either way wins, but generally the advance should be stopped when the opposing King is far away.

2. P - Q R 4, K - B 3; 3. P - R 4, K - K 3.

If 3...K - Kt 3, then simple counting will show that White goes to the other side with his King, wins the P at Q R 4, and then Queens his single Pawn long before Black can do the same.

4. P - Kt 5, K - B 2; 5. K - B 5, K - Kt 2; 6. P - R 5, K - B 2.

If 6...P - R 3; 7 P - Kt 6, and then the two Pawns defend themselves and White can go to the other side with his King, to win the other Pawn.

7. K - K 5.

Now it is time to go to the other side with the King, win the Black Pawn and Queen the single Pawn. This is typical of all such endings and should be worked out by the student in this case and in similar cases which he can put up.

4. SOME WINNING POSITIONS IN THE MIDDLE-GAME

By the time the student has digested all that has been previously explained, he, no doubt, is anxious to get to the actual game and play with all the pieces. However, before considering the openings, we shall devote a little time to some combinations that often arise during the game, and which will give the reader some idea of the beauty of the game, once he becomes better acquainted with it.

Example 11.