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CONTENTS.
xiii
Page
Chapter VI. Sketch of the History of Machine Development 201
§ 48. The Origin and Early Growth of Machines 201
49. The Development of the Machine from a Kinematic point of view 226
50. The Growth of Modern Machinery 232
51. The Present Tendency of Machine Development 242
Chapter VII. Kinematic Notation 247
§ 52. Necessity for a Kinematic Notation 247
53. Former Attempts 248
54. Nature of the Symbols required 251
55. Class or Name-Symbols 252
56. Form-Symbols 253
57. Symbols of Relation 255
58. Formulæ for simple Kinematic Chains and Mechanisms 258
59. Contracted Formulæ 263
60. Formulæ for Compound Chains 264
61. Formulæ for Chains containing Pressure-organs 268
62. Contracted Formluæ for Single Mechanisms 270
Chapter VIII. Kinematic Analysis 274
§ 63. The Problems of Kinematic Analysis 274
64. The "Mechanical Powers" or "Simple Machines" 275
65. The Quadric (Cylindric) Crank Chain 283
66. Parallel Cranks 287
67. Anti-parallel Cranks 290
68. The Isosceles Crank-train 292
69. The Cylindric Slider-crank Chain 294
70. The Isosceles Slider-crank Chain 302
71. Expansion of Elements in the Slider-crank Chain 304
72. The Normal Double Slider-crank Chain 313
73. The Crossed Slider-crank Chain 318
74. Recapitulation of the Cylindric Crank Trains 323
75. The Conic Quadric Crank Chain 327
76. Reduction of a Kinematic Chain 333
77. Augmentation of Kinematic Chains 341
Chapter IX. Analysis of Chamber-crank Trains 342
§ 78. Chaining of Crank Mechanisms with Pressure-Organs 342
79. Chamber-crank Trains from the Turning Slider-crank 344
80. Chamber-crank Trains from the Isosceles Turning Slider-crank 355