Abstract: A device for calculating where a cue ball must cause an object billiard ball to strike the bumper of a billiards table in order to drive the object ball into a selected pocket of the billiards table of the type having two opposed end rails and two opposed side rails. The device includes a plotting board and a guide. The plotting board comprises a scaled playing table portion and at least one scaled mirror table portion having pocket positions formed thereon, wherein the mirror table adjoins at least one of the opposed end rails or opposed side rails and is a mirror image of the playing table portion. The plotter comprises a guide and an object ball arm, the object ball arm having a pocket guide end and an object end.

Abstract: A pocket billiards break shot training apparatus for improving the execution of a break shot. The training apparatus permits a user to make continuously repeated break shots without the time consuming necessity of gathering and re-racking the object balls after each shot. Moreover, the training apparatus permits a user to increase skill in controlling post break, cue ball positioning. The apparatus employs a head ball, rear ball, and two side balls oriented around cross-shaped frame to simulate a racked set of balls. Furthermore, the apparatus utilizes the compression of a spring element to sufficiently simulate the actual reaction of a set of racked balls to the impact of a cue ball. A bow restraint assembly interacts with a set of elastic cords to moor the frame in a desirable position on the table and reposition the frame after each shot.