Billard CaramboleCourse, systems & practice

The One-cushion System sheet, printable

An A4 page to keep by the table: the diagram with its diamonds, the formula CD = 4 βˆ’ AB, the three reference points and the calculation with side spin. Prints in black and white without losing anything.

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Below, exactly what will come out of the printer.

One-cushion system β€” CD = 4 βˆ’ AB

Where ball 1 touches the opposite cushion after grazing ball 2, without side spin

OPPOSITE CUSHION (where the ball arrives)STARTING CUSHION01234DIAMONDS Β· WIDTH012AB = 24 βˆ’ 2 = 2β—€ CD = 212

Example: AB = 2 (ball 2 is 2 diamonds from the starting cushion), so CD = 4 βˆ’ 2 = 2. Blue dashed line: the aim line, extended to the aimed point (the 0 of the count). Dashed circle: ball 1 at the moment of contact, at half-ball. Yellow dashed line on ball 2: it is pushed to the right. Yellow circles: the reference points counted on both scales.

The formula

CD = 4 βˆ’ AB

Here AB is measured from the starting cushion to ball 2: it's this distance that sets the path left to ball 1 after contact. Diagram: AB = 2, so CD = 4 βˆ’ 2 = 2.

The three reference points

  • AB: how far ball 2 sits from the starting cushion, in diamonds (left-hand scale, level with ball 2).
  • The aimed point: where the aim line, extended, would land on the opposite cushion β€” the 0 of the count, at the top.
  • CD: the gap, in diamonds to the left, between that aimed point and where ball 1 actually touches the opposite cushion.

The same stroke, always

Ball 1 aimed at half-ball on ball 2, hit high, with no side spin at all. Ball 2 goes right, ball 1 is sent back to the left of its path.

Three positions

AB (diamonds)321
CD (offset)123

Always to the left of the aimed point. The closer ball 2 is to the starting cushion, the bigger the offset β€” and the more any unevenness in the hit shows up at arrival.

Adding side spin

CD = 4 + doses βˆ’ AB

Side spinNone1 dose2 doses
CD for AB = 2234

Each dose of side spin adds one diamond to the offset, at the same position.