INDEX. 



585 



Lines of vector -function, 



348. 

 Linear terms in kinetic 



energy, 130. 



potential, 

 184. 



vector function, 428. 

 Lines of displacement, 446. 

 Liquids, fundamental the- 

 orem for, 465. 



Logarithmic decrement, 

 151. 



potential, 385. 

 Loops, 546. 



Maclaurin, 415. 

 Maclaurin's ellipsoid, 469. 



theorem, 414. 

 Maupertuis, 97. 

 Mass, 23. 



dynamical compari- 

 son of, 23. 



center of, 90. 

 Material point, 21. 

 Matter, 3. 



definition of, 64. 

 Maxwell, 123, 126, 268, 



345, 349, 551. 

 Maxwell's theory of elec- 

 tricity, 124. 



top, 268. 



effect of friction 

 on, 304. 



Mean, integral as, 70, 90. 



theorem , Gauss's, 



374. 

 Mechanics, 3. 



problem of, 26. 

 Mechanical powers, 60. 

 Mendenhall, 367. 

 Metacenter, 474. 

 Metacentric height, 474. 

 Metre prototype, 26. 

 Michell, 533. 

 Modulus, bulk, 461. 



shear, 462. 



Young's, 462. 

 Momentum, 26. 



generalized compo- 

 nent of, 117. 



Mobility, coefficients of, 126. 



Mobius, 212. 



Moment, axis of, 7. 



bending, 490. 



, Dynamics. 



Moment of inertia, 93, 227. 



of momentum, 95. 



of velocity, 12. 

 Momentum, 26. 



moment of, 95. 



conservation of, 

 96. 



screw, 224. 



of rigid body, 225. 

 Moon, motion of, 20. 

 Motion, 3. 



adiabatic, 189. 



change of, 22. 



concealed, 179. 



constrained, 41. 



differential equa- 

 tions of, 24. 



geometry, os, 3. 



harmonic, 35. 



elliptic, 36. 

 irrotational, 520. 



isocyclic, 189. 



laws of, 520. 

 periodic, 35. 

 relative, 247. 

 relatively to earth, 

 320. 



steady, in hydrody- 

 namics , 



uniform, 21. 



circular, 37. 

 vortex, 509. 



of waves, 529. 

 Motus, 26. 

 Moving axes, 243. 



motion with re- 

 spect to, 316. 



Multipliers , indeterminate, 

 62. 



Navier, 456. 



Neumann, 388, 459, 515. 



Newton, 3, 20, 29, 31, 66, 



155, 365, 535, 544. 

 Newton's theorem, 4 P 9. 

 Newtonian constant, 30. 



law, force - function 

 for, 75. 



motion under,39. 

 Node, 168, 169, 546. 

 Non- conservative system, 



69. 

 Normal coordinates, 163. 



functions, 171. 



Normal functions, series of, 



173. 



Null -system, 209. 

 Numeric, 26. 

 Nutation of top, 283. 



Obry, 257. 



Oersted's piezometer, 477. 



Oscillation, axis of, 251. 



damped, 148. 

 Oscillations, small, 157. 

 Overtones, 169. 



Pantheon, 324. 



Parabola, path of projec- 

 tile, 34. 



Parallelepiped, moment of 

 inertia of, 241. 



Parameters of Lagrange, 

 111. 



differential, 88, 330, 

 344. 



Parametric representation 



of curve, 10. 

 Particle derivative, 497. 

 Path, 9. 

 Pendulum , affected by 



earth's rotation, 323. 



compound, 251. 



conical, 55. 



cycloidal, 148. 



gyroscopic, 282. 



horizontal, 252. 

 ideal, 42. 



Eater's, 251. 



plane, 45. 



quadrantal, 196. 



small vibrations of, 

 54. 



spherical, 48. 



by Lagrange's 

 equations. 



path of, 50. 

 Perfect differential, 88. 



fluid, 458. 



Period of pendulum, 45, 47. 

 Perpendicularity, condition 



of, 7. 



Phase, difference of, 37. 

 Picard, 86, 378, 388. 

 Piezometer, 477. 

 Pitch -conic, 220. 

 Pitch of helix, 211. 

 Pivoting, friction of, 304. 

 37* 



