INDEX. 



541 



Cylindroid, Chiastic Homography on 307; 

 Constants necessary to define a 68 ; De 

 fined by two Screws 20 ; Discovery of by 

 Hamilton 510, 520; Drawing of Plane 

 section 154; Dynamical property dis 

 covered by Battaglini 20; Equation of 19, 

 224; Equation of Central Section 166; 

 Equation of Plane Section 152 ; Funda 

 mental property 25 ; Geometrical investi 

 gation of 146, 150; Hyperbola in triple 

 contact 164 ; Impulsive and Instantaneous 

 112; Models of 150, 530; Name suggest 

 ed by Cayley 20; Nodal line upon 24; 

 Normal 308; Parabola related to Plane 

 Section 156; Permanent Screw on 422; 

 Kelation between two 108; Principal 

 Screws on 21, 43; Reducing to a plane 

 23; Remarkable geometrical property, 

 535 ; Represented by a Circle 45 ; Repre 

 sented by a Straight line 199 ; Restraining 

 Screw on 419; Tangential section of 60; 

 Three-system 180 



D Alembert 520 



Degrees of certain Surfaces 242 



D Emilio 528 



Departure defined 448 



Differential equation for Kinetic Energy, 



356 



Displacement, canonical form of 1 

 Double Screws 264, 309 

 Dyname, correspondence of 383; defined 



274 ; Parallel Projections of, 382 

 Dynamical parable, a 496 



Elliott 532 



Ellipse of Inertia 114; of Potential 116 



Ellipsoid of Inertia 187 



Emanants 274, 275, 408, 469 



Enclosing Screw Systems defined 233 



Energy, Kinetic, Emanant equation of 405 ; 



Expression for 296 

 Equations, Linear Systems of 67 

 Equilibrium of Four Forces 186; general 



theorem of 64 

 Euler 83, 231, 406, 520, 527 

 Everett 26, 522, 523 

 Extent defined 434 



Fiedler 524 



Forces in Theory of Screws 11 ; in Non- 

 Euclidian Space 480 

 Freedom, various degrees of 63 

 Fundamental problem with free body 336 



Geiser 513 



Geometrical Theory of Impulsive and In 

 stantaneous Screws 322 

 Goebel 151 

 Grace 495 

 Grassman 509, 515 

 Gravelius 531, 532 

 Grubb (Sir H.) 150, 151 



Halphen 522 



Halsted 439 



Hamilton (Sir W. R.), 509, 510, 512, 515, 

 517, 521, 537 



Harmonic Motion 99 



Harmonic Screws 94, 106, 118, 133, 193, 397 



Heath 452, 465, 522, 527 



Henrici 532 



Heteronymous Vectors 475, 480 



Homography, Chiastic 306, 309 ; of Content 

 415 ; Double points 126, 127, 342; Screw- 

 chains 370, 393 ; Screw Systems 262 



Hyde, 531 



Hyperbola in triple contact with Cylindroid, 

 164 



Impulsive Screws,, Chains 392 ; Cylindroid 

 112; Defined 71; Fundamental formulae 

 298 ; Theory of two pairs 325 



Inertia, Axis of 123; Conjugate Screws 71 ; 

 Conjugate Screw-chains 395 ; Ellipse of 

 114; Ellipsoid of 187; Principal Screws 

 of 69 ; Principal Screws on Cylindroid 

 114; Principal Screws on Three-system 

 188; Principal Screws on Four-system 

 230 ; Principal Screws on Five-system 252 ; 

 Principal Screw-chains of 394 



Infinite Pitch, Screws of 22, 39 



Infinity, Screws at 291 



Instantaneous Screws 71 ; Chains 392 ; 

 Definition 10 



Intensity of a Wrench defined 11 



Intervene defined 434 ; Expression for 443 



Invariants of Eight Screws 260 



Invariants, Pitch 289 



Involution, meaning of 249 



