ROOK AGAINST ROOK AND KNIGHT.

Diagram 32.

White, with the move, will win the Rook in four moves.

WHITE.                          BLACK.
1.  Kt. to K’s 6th. (ch.)         1.  K. to Q’s 4th.

(If instead he play K. to his 5th, White will check with R. at Kt’s 4th.)

2.  R. to Q’s 8th. (ch.) 2.  K. to his 5th.
3.  R. to Q’s 4th. (ch.) 3.  K. moves.
4.  K. takes R.

KING AND PAWN AGAINST KING AND PAWN.

Diagram 33.

WHITE.  BLACK.
1.  R. takes P. (ch.)
2.  R. takes R. 2.  P. to Q’s 7th.
3.  R. to Q’s 5th. 3.  K. takes R.
4.  P. to Q’s 7th. 4.  P. Queens.
5.  P. Queens. (ch.)
And wins.

KING AND TWO PAWNS AGAINST KING AND PAWN.

Diagram 34.

First, suppose White moves:—­

     WHITE.  BLACK.

1.  K. to Q’s 4th. 1.  K. to Q’s 3d.
2.  K. to Q’s 3d. 2.  K. to Q’s 2d.
3.  K. to K’s 3d. 3.  K. to K’s 2d.
4.  K. to Q’s 4th. 4.  K. to Q’s 3d.
5.  K. to K’s 4th. 5.  K. to K’s 3d. 

                                And the game must be drawn.

But suppose Black have to play:—­

WHITE.  BLACK.
1.  K. to Q’s 3d.
2.  P. to K. B’s 5th. 2.  K. to K’s 2d.
3.  P. to K. B’s 6th. (ch.) 3.  K. to his 3d.
4.  K. to Q’s 4th. 4.  K. to Q’s 3d.
5.  P. to K. B’s 7th. 5.  K. to his 2d.
6.  K. to his 5th. 6.  K. takes P.
7.  K. to Q’s 6th. 7.  K. to B’s sq.
8.  K. to his 6th. 8.  K. to Kt’s 2d.
9.  K. to his 7th. 9.  K. to Kt’s sq.
10.  K. to B’s 6th. 10.  K. to R’s 2d.
11.  K. to B’s 7th. 11.  K. to R’s sq.
12.  K. takes P. 12.  K. to Kt’s sq.
13.  K. to B’s 6th. 13.  K. to R’s 2d.
14.  K. to B’s 7th. 14.  K. to R’s sq.
15.  K. to Kt’s 6th. 15.  K. to Kt’s sq.
16.  K. to R’s 6th. 16.  K. to R’s sq.
17.  P. to Kt’s 6th. 
And wins.

KING AND TWO PAWNS AGAINST KING AND TWO PAWNS.

Diagram 35.

      WHITE.  BLACK.

1.  K. to his 3d. 1.  K. to his 4th.
2.  K. to B’s 3d. 2.  K. to B’s 4th.
3.  K. to Kt’s 3d. 3.  K. to K’s 4th.
4.  K. to Kt’s 4th. 4.  K. to B’s 3d.
5.  K. to Kt’s 3d. 5.  K. to K’s 4th. 

                                  And the game is drawn.

If Black move, he plays:—­

1.  K. to his 4th.
2.  K. to his 3d. 2.  K. to Q’s 4th.