542 



INDEX. 



Joly 30, 178, 182, 390, 492, 522, 534, 537, 

 538, 539 



Kinetic Energy, Differential Equation for 

 356 ; Expression for 296 ; Property of 

 401 



Klein 17, 18, 33, 34, 241, 249, 286, 433, 439, 

 517, 518, 520, 521, 533 



Kotelnikof 522, 535 



Kronecker 531 



Kummer 517 



Lagrange 76, 96, 97, 98, 395, 406, 489 



Law Prize Examination 537 



Lewis 46, 151 



Lindemann 433, 523 



Linear Complex 20 



Linear Equations, note on 67 



Lobachevsky 521 



Lornotf 531 



MAulay (Alex.) 37, 84, 522, 536 

 MacAulay (F. S.) 437 

 Manchester, address at 496 

 Mannheim 45, 513, 519, 521, 522, 533 

 Mass-chains 367 

 Minchin 151, 529 



Mobius 31, 102, 248, 255, 511, 512, 524 

 Models of Cylindroid 150, 530 

 Motion, Equations of, in Screw-chain Co-or 

 dinates 405 

 Motor defined 477 



Non-Euclidian Space 433 

 Normal Cylindroids 308 

 Notation, fundamental 11 



Object, Definition of 433 

 Octonions 536 



Orthogonal Transformation 280, 465 

 Oscillations about a fixed point 194 

 Oscillations, Screw-chain 397 



Padeletti 522, 526, 527 



Panton 244 



Parable, a Dynamical 496 



Parabola in contact with Cylindroid 158 



Parallel Projections, 379 



Parameters of a Screw-System 65 



Pascal line 307 



Pectenoid 255 



Permanent Screw-chains 410 ; Cylindroid 

 422 ; Definition 399 ; Different Degrees of 

 Freedom 432 ; Equations of 421 ; Geo 

 metrical Construction for 427 



Pitch, Axis of 46 ; Conic 24, 204, 210 ; 

 Co-ordinates 36 ; Co-reciprocals 282 ; on 

 Cylindroid 20 ; Definition of 7 ; Infinite 

 22, 39 ; Invariant 289, 294 ; Non-Euclidian 

 Space 478, 527 ; Quadrics 227 ; Stationary 

 221 



Planes, Four imaginary, in 3-system 202 



Plane representative Cylindroid 45 ; Dy 

 namical problems 120; Three-System 197 



Plucker 17, 20, 34, 150, 177, 249, 274, 515, 

 516, 517, 520, 524, 531 



Poinsot 4, 297, 510, 511, 513, 524, 536 



Poisson 536 



Polar Screw 238, 241 



Potential 87 ; Conjugate Screws of 89 ; 

 Ellipse of 116 ; Principal Screws of 90 



Principal Axis of a Rigid Body 260, 400 



Principal Screws on Cylindroid 21, 43 



Principal Screws of Inertia 69 ; on a Cylin 

 droid 114 ; Chains 394 ; Five-System 

 252 ; Four-System 230 ; Three-System 

 188, 207 



Principal Screws of Potential 90 



Projections, Parallel 379 



Quadratic Screw-Systems 233 

 Quadric, The Pitch- 172 

 Quadric of Potential 192 

 Quadrics in Three-System 173 

 Quaternions 30, 512, 515 



Range defined 434 



Reaction of Constraints 64 



Reality of the Principal Screws of Inertia 77 



Reciprocal Screws, Cylindroid 37 ; Chains 



288 ; Defined 26 ; Property of 347 ; 



System 63 

 Reduced Wrench 84 

 Rene de Saussure 536 

 Representation of Cylindroid in a Plane 45 

 Resal 521 



Resolution of Twists and Wrenches 31 

 Restraining Screw-chain 407 ; Cylindroid 



419 ; Co-ordinates 314 ; Locus 416 

 Restrictions on Forces 11 ; Movement 13 



