INDEX. 



The numbers refer to pages. 



Acceleration, Definition of, 33; along 

 normal to curve, 36; along normal 

 to surface, 193; uniform, 33, 42; 

 central, 51 ; radial and transversal, 

 60; of rigid body, 233; initial, 279; 

 relative to rotating frame, 299, 306, 

 355 



Angular momentum, 104 



Angular velocity, 38, 227 



Apses, 65 



Atwood's Machine, 177; Correction for 

 inertia of pulley, 238 



Axis, Principal, 229; Polar, 351, 355 



Ballistic Balance, 96, 101, 258 

 Bodies, conception of, 85, 87, 142 



Central forces, motion under several, 

 152 



Central Orbits, 51, 62, 148 



Centre, Instantaneous, 233, 235, 282, 

 289; of Oscillation, 237; of Inertia, 

 102; Motion of, 89, 107 



Centroid, 14 



Chain, Tension of, 120 ; Motion of, 301 



Conservative forces, 125, 126 ; Examples 

 of, 130; Motion of a Particle under, 

 147, 183 



Collision, 256 



Conic, construction of from certain con- 

 ditions, 57 



Constraint, definition of, 114, 133 ; one- 

 sided, 173, 184 

 L. 



Couples, 21; Theorems concerning, 22, 



24, 26 

 Curve, motion on a, 172, 182, 187, 188, 



302 



Curvature, initial, 280, 284 

 Cycloid, Isochronism of, 176 



D'Alembert's Principle, 101, 107 

 Density, 88 



Descent, Line of quickest, 173 

 Differential Notation, 35 

 Dimensions, 33, 34, 373 

 Displacement, 6, 30 



Elasticity, Theory of, 116, 257 

 Elements of planetary orbit, 159 

 Elliptic motion, 54; under gravitation, 

 97; of two bodies, 156; disturbed, 159 

 Energy, Kinetic, 105; Potential, 126; 

 Equation of, 133; Conservation of, 

 136; Forms of, 137; Dissipation of, 

 136, 257; essential to Mechanics, 

 143 ; Problems illustrating, 293 

 Envelopes, of trajectories, 47, 53, 55 

 Equations of motion, 90, 106; Varia- 

 tional, 140, 143 ; of rigid body, 235 ; 

 of chain, 306; impulsive, 91, 269, 309 



Field of Force, 93 ; Potential energy of 

 body in, 132 



Force, Definition of, 89 ; Eesultant, 89 ; 

 Original notion of, 100 ; Internal, 106, 

 112,^139; Transmissibility of, 113; 

 25 



