1, mathematical principle hemisphere method

The most basic mathematical principle of billiards aiming is the so-called "hemisphere method", that is, the correct aiming point (point A) is on the extension line connecting the center of the ball bag and the center of the target ball, one ball away from the center of the target ball (that is, half a ball away from the contact point B on the surface of the target ball). No matter what the position of the cue ball and the target ball is, that is, how many degrees the angle α is in the figure, as long as you aim at the point A when hitting the ball, you can definitely send the target ball into the bag (of course, the angle α must be less than 90 degrees).

2. Find the hitting point of the target ball

Because the target ball cannot roll without external force, it must be hit by the main ball. According to the principle of linear transmission of force, to hit a target ball into the bag, you can't randomly hit any point on the target ball. You must determine the hitting point where the main ball should hit the target ball according to the line of the target ball, so as to complete the hitting into the bag.

The center of the bag opposite to the target ball passes through the extension line of the center of the target ball, and this line intersects the outer circle of the target ball at point M, which is the hitting point on the target ball.

3. Find the location of the aiming point

After the hitting point on the target ball is determined, the position of the aiming point should be determined. Measure a length equal to the radius of the ball from the hitting point M on the target ball, and then walk back along this straight line. The farthest point T is the aiming point.

Draw a circular dotted line centered on point T. This sphere represents the position where the main ball hits the target ball. Only when the excircles of the main ball and the target ball intersect at point M and collide with the target ball, the force on the main ball is transmitted to the target ball through point M, so that it enters the bag along the path of the target ball.

Billiards:

Billiards, also known as billiards or billiards, is one of the ball games. It is a sports and leisure project in which athletes use clubs with a length of more than 9 1.4 cm to hit the main ball and the target ball according to certain rules.

There are two different views on the origin of billiards: one thinks that billiards originated in England in14th century, and the other thinks that billiards originated in France in 15 10 year.