X CONTENTS. 



CHAPTER IX. 



THE DYNAMICS OF A RIGID BODY WHICH HAS FREEDOM OF THE 

 FIRST ORDER. 



SECT. PAGE. 



78. Introduction, ..-..'.'. . . ' ". 8 3 



79. Screw Complex of the First Order, . . -. . . ib. 



80. The Reciprocal Screw Complex, ."..". . . 84 



81. Equilibrium, . . " . '. . . . . 86 



82. Particular Case, .'-.'-. J .' . . . 88 



83. Impulsive Forces, . . . . * . . . ' . ib. 



84. Small Oscillations, . ' 1 . ' . ' . ; . ; . . . . 89 



85. Property of Harmonic Screws, .- ". . . ... . 9 



CHAPTER X. 



THE DYNAMICS OF A RIGID BODY WHICH HAS FREEDOM OF THE 

 SECOND ORDER. 



86. The Screw Complex of the Second Order, . . . , . . 92 



87. Applications of Screw Co-ordinates, . ... . . ib. 



88. Relation between Two Cylindroids, . . . ... -93 



89. Co-ordinates of Three Screws on a Cylindroid, . . ' . . 94 



90. Screw Complex of the Fifth Order and Second Degree, . ,, r . 95 



91. Polar Screws, 96 



92. Properties of Screws and their Polars, 98 



93. Pitch Complex, ib. 



94. Screws on One Line, 101 



95. Displacement of a Point, 102 



96. Properties of the Pitch Conic, 103 



97. Equilibrium of a Body with Freedom of the Second Order, . . ib. 



98. Particular Cases, .105 



99. The Impulsive Cylindroid and the Instantaneous Cylindroid, . ib. 



100. Reaction of Constraints, 107 



101. Principal Screws of Inertia, 108 



102. The Ellipse of Inertia, . 109 



103. The Ellipse of the Potential, ill 



104. Harmonic Screws, 113 



105. Exceptional Case, ib. 



106. Reaction of Constraints, . . . , 114 



