Billiards

Theory of the Game ( Start / Next Chapter )

Contents of this Chapter ( Start / Next Paragraph )

1. Book "Billiards : Theory of the Game"
2. Second edition of the book
3. Table of contents
4. To order the book

1. Book "Billiards : Theory of the Game" ( Previous / Next Paragraph )

First edition 1996, first printing in January 1997 (128 pages).

Beyond thinking and analysis of our main champions, it is good to get back to what can be likened to a Billiards treatise.
The book "Billard - Théorie du jeu" [in English : "Billiards : Theory of the Game"] certified by the Federation of French Billiards is a modern version of the Science of Billiards, mainly based on the Coriolis's book. This version corrects many mistakes of the book (see CORIOLIS errata n°2 in our Bibliography), complements and generalizes the equations in a 3D vector expression usefull to software designers.

2. Second edition of the book ( Previous / Next Paragraph )

Second edition 2004 (revised and expanded version), first printing in June 2004 (192 pages).
Second edition 2004 (updated version of June 2006), first printing in June 2006 (192 pages).

Apart from its rigour and quality, this foundation book presents a complete and modern synthesis of the Theory of Billiards, certified by the Federation of French Billiards.
Note : The updated version of June 2006 corrects 32 text pages compared to the revised and expanded version of June 2004. These corrections concern minor points (page reference, punctuation, notes addition, etc.) as well as a gross mistake on pages 155 and 173 in the following mathematical formula :
       Instead of : W = (1 - t / t arrêt_translation) Wc
       Read : W = ( 1 - (t - tc) / (t arrêt_translation - tc) ) Wc

3. Table of contents ( Previous / Next Paragraph )

• PREFACE TO THE SECOND EDITION
• PREFACE TO THE FIRST EDITION
• FOREWORD
• CHAPTER 1 - GENERAL MOTION OF A BALL ON A HORIZONTAL PLANE
  • Translational and rotational velocities
  • Rolling without sliding
  • Trajectory
  • Trajectory extremum and pure sliding state
  • Curvature
  • Sliding distance travelled by the ball
  • Jump shot
• CHAPTER 2 - HORIZONTAL CUE STROKE
  • Initial velocity
  • Trajectory
  • Initial translational velocity
  • Automatic cue-ball separation
  • Effect of the below/above -center hit on ball motion
  • Sliding distance
  • Specific translational velocities
  • Z-component of the spin vector
• CHAPTER 3 - CUE-INCLINED STROKE
  • Initial velocity
  • Trajectory
  • Automatic cue-ball separation
  • Effect of the below/above -center hit on ball motion
  • Ball-cloth impact
  • Ball-cloth friction
  • Sliding distance for a draw shot
  • Initial deflection
  • Final deflection
  • Jump shot
• CHAPTER 4 - BALL-BALL IMPACT
  • Initial velocity
  • Trajectory
  • Curvature
  • Sliding distance before rolling without sliding
  • Initial deflection
  • Final deflection
  • Fullness of ball hit and aiming points
  • Fullness of ball hit and final deflection
  • Spin/speed ratio and final deflection
  • Application exercise
  • Object ball motion
  • Usefulness and uselessness of english
  • Billiard cannon strategy
• CHAPTER 5 - SECOND BALL-BALL IMPACT
  • Initial velocity
  • Final deflection
• CHAPTER 6 - UNEQUAL MASSES, IMPERFECT ELASTICITY AND FRICTION BETWEEN BALLS
  • 6.1. Unequal masses
  • 6.2. Imperfect elasticity between balls
  • 6.3. Friction between balls
• CHAPTER 7 - BALL-CUSHION(S) IMPACT
  • Initial velocity
  • Trajectory
  • Sliding distance
  • Aiming points
  • Initial deflection
  • Final deflection
  • Final translational velocity
  • Z-component of the spin vector
  • Effect of the cushion height
  • Measuring the (N) and (fi) parameters
  • Ball-cushions impact
  • Ball-cushion impact, after a ball-ball impact
• CHAPTER 8 - IMPACT WITH A BALL STUCK AGAINST THE CUSHION
  • Condition of the kiss-back shot
  • Initial velocity of each ball
  • Trajectory of each ball
  • Final deflection of each ball
• CHAPTER 9 - CONTACT WITHOUT SLIDING
  • 9.1. Cue-inclined stroke
  • 9.2. Ball-ball impact
  • 9.3. Ball-cushion impact
  • 9.4. Impact with a ball stuck against the cushion
  • 9.5. Ball-cloth adhesion
• CHAPTER 10 - ROLLING BALLS
  • Translational and rotational velocities
  • Trajectory
  • Measuring the (fc) and (fz) parameters
  • Distances travelled by the balls before stopping
• CHAPTER 11 - MODEL FOR SOFTWARE DESIGNERS
• CONCLUSION
• MATHEMATICAL APPENDIX
• GLOSSARY AND NOTATION
• LIST OF FIGURES
• REFERENCES
• FRENCH-ENGLISH INDEX

4. To order the book ( Previous / Start Paragraph )

French title : Billard - Théorie du jeu" [in English : "Billiards - Theory of the Game"]
Second edition 2004
Certified by the Federation of French Billiards [Table of Contents and Index translated in English]
Author : Régis PETIT
Publisher : CHIRON, 2004.
Distributor : Daudin (Tél. : +33 (0)1 83 90 16 70)
ISBN 978-2-7027-0999-3

In Canada, available from PROLOG for Canadian$29,72 (1650 Boulevard Lionel Bertrand, Bois-Briand QUEBEC J7H1N7 CANADA)
Price : EURO 18, payment by VISA card accepted

Copyright © 2005 Régis Petit.               Last page update : June 26, 2024.