Absolute system, 31. 



Acceleration, definition of, 

 13. 



angular, 248 

 centripetal, 14. 

 components of, 13,14. 

 compound centripe- 

 tal, 319. 

 constant, 33. 

 of Coriolis, 320. 



moment of, 17. 

 normal, 17. 

 radial, 16. 

 tangential, 14. 

 transverse, 16. 



Actio, 66. 



Action, definition of, 101. 

 least, 101. 

 examples of, 140, 141. 

 surface of equal, 139. 

 varying, 131. 



Activity, equation of, 66. 

 in Lagrange's coor- 

 dinates, 125. 



in hydrodynamics, 

 501. 



Addition of vectors, 5. 

 Adiabatic motion, 189. 

 d'Alembert's Principle, 63. 



statement in 

 words, 65. 



in generalized 

 coordinates, 118. 



Amplitude, 35. 

 Analytic function, 523. 

 Angle, solid, 351. 

 Angular acceleration, 248. 



velocity of moving 

 axes, 246. 



Anisotropic body, 457. 

 Aplatissement , 407. 

 Appell, 54, 61, 309, 316. 

 Archimedes' principle, 472. 

 Areas, law of, 18. 

 Atmosphere, height of, 465. 

 Attracting forces, 76. 

 Atwood's machine, 23. 

 Axis, central, 209. 



fixed, body moving 



about, 250. 



INDEX. 



(The numbers refer to pages.) 



Axis, of suspension and 

 oscillation, 251. 



Axes, moving, motion with 

 respect to, 316. 

 rotating, 317. 

 parallel, 201. 

 theorem of in- 

 ertia, 229. 

 of spherical harmo- 

 nic, 396. 

 strain, 433. 



Axioms, physical, 20. 



Bacharach, 378. 



Balance, 33. 



Ball, 224. 



Ballistic pendulum , gal- 

 vanometer, electro- 

 meter, 72. 



Base-, golf, tennis ball, 34. 



Basset, 499. 



Beats, 156. 



Beads, string of, vibration 

 of, 164. 



frequencies of, 

 167. 



Beltrami, 113. 



Bending moment, 490. 



Bernoulli, 58, 84, 173. 



Bernoulli-Euler theory, 485. 



Bernoulli's theorem, 505. 



Bessel, 407. 



Billiard ball, motion of, 305. 



Binet, 231, 239. 



Bodies, three, problem of, 31. 



Bourlet, 309. 



Boussinesq, 309, 346. 



Boyle's Law, 544. 



Boys, 30, 362. 



Brachistrochrone, 77, 82. 



Brahe, Tycho, 18. 



British Association, 31. 



Buckling of sections, 485. 



Bulk-modulus of elasticity, 

 461. 



Bullets, toy, 23. 



Bunsen pump, 504. 



Cadmium, wave-length of, 

 27. 



Calculus of variations, 77. 

 Cambridge, 269. 

 Carvallo, 309, 313. 

 Cauchy, 451, 456, 459. 

 Cavendish, 30. 



Laboratory, 269. 

 Center of mass, motion of, 89. 

 Central axis, 209. 



forces, 38. 

 Centripetal acceleration , 



compound, 319. 

 Centrifugal force, 119. 



on earth, 320. 

 in rigid body, 

 228. 



Centripetal acceleration, 15. 



compound, 319. 

 Centrobaric body, 364, 404. 

 C. G. S. system, 33. 

 Chasles, 212, 213. 

 Chasles's theorem, 373, 413. 

 Characteristic function, 136. 



of plane, 214. 

 Circle, Dirichlet's problem 



for, 388. 

 Circular Harmonic, 388. 



development in. 

 390. 



Circulation, 506. 



Clairaut, 33. 



Clairaut's theorem , 404, 

 407. 



Clebsch, 224, 478. 



Clifford, 87, 521. 



Clark University, 268. 



Coefficients of inertia, stiff- 

 ness, resistance, 158. 



Coffin, 52. 



Complex, 215. 



equation in line coor- 

 dinates, 221, 223. 



variable, 521. 

 Component, of vector, 116, 



generalized,! 16, 



of momentum, 117, 

 Composition of screws, 216 

 Concealed motions, 179. 

 Concentration, 345. 



proportional to den- 

 sity, 360. 



