INDEX. 



543 



Ribaucour 513 

 Rittershaus 524 

 Roberts, R. A. 530 

 Rodrigues 17, 512 

 Roubadi 535 

 Routh 76, 98, 484, 533 



Salmon 76, 495, 524, 532 



Saussure, M. Rene de 10 



Schell 525 



Schilling 530 



Schonemann 513 



Schonflies 529 



Screws, Angle between two 276 ; Anhar- 

 monic function of eight 267 ; on same 

 axis 41 ; Cartesian Equation of 38 ; Con 

 jugate 71 ; Co-ordinates 31 ; Co-ordinates, 

 Transformation of 42 ; Co-reciprocal 33 ; 

 Definition of 7 ; Harmonic 94 ; Imaginary 

 on a three-system 201 ; at Infinity 41, 

 291 ; Intersecting in a three-system 212 ; 

 Invariants of eight 266 ; Impulsive and 

 Instantaneous, two pairs of 310 ; In 

 stantaneous denned 10 ; on One Line 109 ; 

 iu Non-Euclidian Space 433 ; Parallel to 

 a plane 27 7; Permanent 399 ; Permanent 

 Equations of 421 ; Polar 238 ; Principal 

 of Inertia 69 ; Reciprocal to a Cylindroid 

 26 ; Reciprocal defined 26 ; Reciprocal to 

 five Screws 30, 246 ; Reciprocal to four 

 Screws, locus of 29 ; Reciprocal of System 

 63 ; at Right Angles 276 ; Restraining on 

 Cylindroid 419 ; Seven 31 ; Stationary 

 pitch 221 ; Theory of, based on two 

 principles 5 



Screw-chains, Accelerating 409 ; of Conju 

 gate Inertia 395 ; defined 369 ; Equations 

 of motion of 405 ; of Fifth order 378, 384 ; 

 of First order 369 ; of Fourth order 377 ; 

 Harmonic 395 ; Homography in 370 ; 

 Impulsive 392 ; Instantaneous 392 ; In 

 termediate Screws of 368 ; Lagrange s 

 equations applied to 406 ; Oscillations on 

 397 ; Permanent 410 ; Principal of Inertia 

 394 ; Reciprocal 388 ; Second order 370 ; 

 Third order 375 



Screw Systems 62 ; Correspondence in 271 ; 

 of Fifth order 246 ; of First order 101 ; of 

 Fourth order 218 ; Hprnographic 262 ; 

 Parameters of 65 ; Permanent Screws in 



399 ; of Second order 107 ; of Sixth order 

 258 ; of Third order 170 ; two of Third 

 order correlated 344 



Segre 528 



Sexiant 248 



Sextic Surface, Joly on 493 



Seydler 530 



Signs, Theorem as to 285 



Sixth order, Permanent Screws in 432 



Skatow 522 



Solid angle, Formula) with 495 



Somoff 521 ^ 



Spottiswoode 516 



Stationary pitch, Screws of 214 



Steiner s quartic 179 



Stoney, G. J., His lecture experiment 519 



Study 538, 539 



Sturm 524 



Surfaces, Degrees of certain 242 



Sylvester 249, 250, 514 



Tangential Section of Cylindroid 60 



Tarleton 76, 530 



Three pairs of Impulsive and Instantaneous 

 Screws 330 



Three-System 170 ; Permanent Screws in 

 428 ; Plane representation of 197 



Townsend 465 



Transformation, Orthogonal 465 ; Screw Co 

 ordinates 42 



Triangle of Twists 49 



Triple Contact of Conic and Cubic 490 



Twist, Amplitude of 11 ; Composition of 

 18 ; Definition of 7 ; Triangle of 49 



Twist Velocity, Acquired by an impulse 81 ; 

 Defined 11 ; Expression for 297 ; Theorem 

 relating to 305 



Vanishing Emanant 408 



Vectors 464 ; Analogy with twists 10 ; 

 Composition of 473 ; Fundamental laws 

 of 475 ; Orthogonal Co-ordinates 470 



Velocity, Twist defined 11 ; Expression for 

 297 



Virtual Coefficient in Co-ordinates 36 ; De 

 fined 17; as Emanant 278; Symmetry of 

 18 



Vivanti 530 



Weiler 523 



