Graphic Illustration of the Application of Power to Cycles—Kinematics 48 CHAPTER VII. Balancing, and Some Questions of Potential Energy—Hill-Climbing 62 CHAPTER VIII. Comparison of the Curves of Translation, in Machines of which the Diameters, or Combination of Wheels Differ, of a Point taken in the same Relative Position on the Several Saddles—Consequent Concussion and Effect upon Momentum 69 CHAPTER IX. Springs in Relation to the Curves of Translation, Momentum, and Concussion 80 CHAPTER X. Anti-Vibrators and Spring Forks 87 CHAPTER XI. Saddles and Springs in Relation to Anatomy and Health 94 CHAPTER XII. Headers or Croppers 103 CHAPTER XIII. Gearing Up and Down 112 CHAPTER XIV. The Modern Rover, or Rear-Driving Safety 117 CHAPTER XV. The Side-Slip of the Safety 128 CHAPTER XVI. The Ladies’ Bicycle 140 CHAPTER XVII. Tandems and the Rational 144 CHAPTER XVIII. Workmanship in Cycles—English and American Makers 149 CHAPTER XIX. Cranks and Levers and Tangent Spokes 156 CHAPTER XX. Antifriction Bearings, Ball and Roller 169 CHAPTER XXI. Aluminum in Cycle Construction—Strength of Tubes 180 CHAPTER XXII. The Cycle in War—Steam and Electricity 187 CHAPTER XXIII. Cycle Patents and Inventors 190 CHAPTER XXIV. Hobbies 197 PART II. Remarks on Bolton Machine, American Patent 208 Dennis Johnson English Patent 208 Brief of Specification and Remarks on Croft American Patent 208 Extracts from Very Old English Patents 210 Briefs of Specification and Remarks on Bramley & Parker English Patent 211