INDEX. 



581 



Condition for equipotential 

 family, 410. 



Cone, rolling, 253. 



of equal elongation, 

 443. 



Confocal quadrics, 235. 



Conjugate functions, 523. 



Conical pendulum, 55. 



Conic section orbit of pla- 

 net, 18. 



Conservation of motion of 

 center of mass, 90. 



Connectivity of space, 339. 



Conservation of energy, 68. 



integral of La- 

 grange's equations, 

 126. 



Conservative system, 65, 68. 

 Constant of gravitation, 30. 

 Constants of elasticity, phy- 

 sical meaning of, 461. 

 Constraint, equations of, 57. 



non-integrable, 



equations of, 313. 



varying, 129. 



Continuity, equation of, 498. 

 Convective equilibrium, 466. 

 Coordinates, 5. 



curvilinear, 110, 330. 



cyclic, 176. 



cylindrical, 335. 



ellipsoidal, 234, 335. 



generalized, 109. 



line, 215. 



normal, 163. 



orthogonal, 110, 330. 



polar, 11. 



positional, 189. 



principal, 163. 



ignoration of, 179. 

 Coriolis, 317. 



theorem of, 319. 

 Corner, flow around, 528. 

 Cornu, 491. 



Correction for finite arcs, 48. 

 Cotes 1 s spiral, 519. 

 Coulomb, law of. 

 Couple, 204. 



arm, 205. 



causing precession, 



299. 



composition of, 208. 



in regular preces- 

 sion, 274. 



Couple, of forces, 205. 



moment of, 205. 



righting, 473. 



theorems on, 207. 

 Curl, 87. 



in curvilinear coor- 

 dinates, 383. 



Curvature, 16. 

 Curve, expression for arc 

 of, 111, 113. 



parametric represen- 

 tation of, 10. 



tautochrone, 144. 

 Curvilinear coordinates, 



Green's theorem in 



380. 

 Cusps on curves of equal 



action, 140, 141. 

 Cyclic coordinates, 176. 



systems, 188. 



examples of,193. 



reciprocal rela- 

 tions in, 191. 



work done on, 

 192. 



Cycloid, 84. 



as tautochrone, 145. 



drawn by point of 

 top, 287. 



Cycloidal pendulum, 148. 

 Cylinder under pressure, 

 475. 



moment of inertia 

 of, 242. 



Cylindrical coordinates,335. 



flow, 653. 

 Cylindroid, 218. 



Damped oscillations, 148. 



Damping, coefficient of, 151. 



Darboux, 113. 



Decrement, logarithmic, 

 151. 



Deformable bodies , kine- 

 matics of, 427. 



statics of, 463. 

 Density, 353. 

 Derivative, directional, 88, 



331. 



of analytic function, 

 523. 



particle, 497. 

 Development in circular 



harmonics, 390. 



Development of reciprocal 

 distance, 398. 



in spherical harmo- 

 nics, 400. 



of potential in har- 

 monics, 402. 



of potential of ellip- 

 soid of revolution, 

 424. 



Differential, perfect, 88. 



equation for forced 

 vibration, 152. 



of Legendre, 

 398. 



of particle un- 

 der Newtonian law, 

 39. 



parameter, 88, 330. 



arithmetical va- 

 lue of, 333. 



invariant, 333. 



mixed, 343. 



second, 344. 

 Dilatation, 436. 

 Dimensions of units, 27, 



28, 29. 

 Dimensional, two, poten- 



- tial, 385. 

 Dirichlet, 69, 376, 377, 378, 



393, 402, 417. 

 Dirichlet's problem, 376. 



for circle, 388. 



for sphere, 395 

 Disc, moment of inertia 



of, 242. 



Displacement, infinitesimal, 

 59. 

 virtual, 58. 



lines of, 446. 

 Distributions , energy of, 



425. 



surface, 367. 

 Dissipation, 122. 



function, 123. 

 Divergence, 347. 



theorem, 347. 

 Double-lines , complex of, 



214. 



Driving points, 123. 

 Dualism, 209. 

 Dyne, 29. 



Earth, motion relative to, 

 320. 



