Division of the Cue and Object Balls.

The division of the cue and object balls are important elements in the game of billiards for the player to understand and master. Both should be divided at the instant of aim, and the line of aim should be through the points on the two balls at which they will come in contact. If a delivery on the object-ball of a ½ ball right be required, then the left half of the cue-ball will impinge upon the right half of the object-ball; consequently aim should be taken from and to these parts.

It is impossible to deliver a full cue-ball on a ½ or other fractional part of an object-ball; for when a full cue-ball delivery is made upon a full object-ball, the centres of both balls meet.

The dotted lines show the course the object-ball takes after being struck by the cue-ball. These directions may be considered in effecting either a carom, or in pocketing the ball in the pool games.

The line from a upon the cue-ball to a upon the object-ball indicates the direction taken by the former when delivered full upon the latter.

The corresponding letters upon the two balls denote the points of contact. Thus, the letter b on the cue-ball shows the point of fractional division of a ¾ ball, and b upon the object-ball indicates exactly where such a delivery will bring the cue-ball into contact with it; the other fractions are at c, d, e, and f.

The dotted lines beyond the object-ball are the paths over which it will travel after being struck by the cue-ball at the fractional deliveries indicated.

These balls can, of course, be still further divided into other fractions.

Fractional Divisions of the Cue-Ball.