H. Poincaré's work on probability

1.1. The Aim of this Paper 1.2. Preliminary Remarks 1.3. An Analytical Trick 1.4. The Kinetic Theory of Gases 2. The Theory of Probability: Main Concepts and Solution of Problems .... 142 2.1. Probability and Ignorance 2.2. The Classical Definition of Probability 2.3. Geometric Probability 2.4. Solution of Problems 3. Limit Theorems 4. The Probability of Causes 5. An Approach to Studying Statistical Series 6. Mathematical Treatment of Observations 6.1. The Normal Distribution 6.2. The Method of Least Squares 6.3. The Measure of Precision 6.4. Densities and Weights 6.5. The Error of the Situation of a Point on a Plane 7. The Central Limit Theorem 8. Homogeneous Markov Chains 8.1. The Ecliptic Longitudes of the Minor Planets 8.2. The Game of Roulette 8.3. Shuffling a Deck of Cards 8.4. The Diffusion of Liquids 9. Randomness 9.1. Randomness as Instability of Motion 9.2. Randomness as the Result of Complicated Causes 9.3. Randomness as the Result of Slight Causes Leading to Small Effects . . 163 9.4. Randomness as the Intersection of Chains of Events