A Treatise on the Theory of Screws

CONTENTS. xix §§ PAGB 418. The Geometrical Meaning of this Symmetric Function .... 461 419. On the Intervene through which each Object is Conveyed . . . 464 420. The Orthogonal Transformation.........................................465 421. Quadrics unaltered by the Orthogonal Transformation .... 466 422. Proof that U and Q have Four Common Generators .... 467 423. Verification of the Invariance of Intervene...........................468 424. Application of the Theory of Emanants.................................469 425. The Vector in Orthogonal Co-ordinates.................................470 426. Parallel Vectors......................................................472 427. The Composition of Vectors............................................473 428. Geometrical proof that Two Homonymous Vectors compound into One Homonymous Vector................................................475 429. Geometrical proof of the Law of Permutability of Heteronymous Vectors 476 430. Determination of the Two Heteronymous Vectors equivalent to any given Motor................................................47g 431. The Pitch of a Motor ........... 478 432. Property of Right and Left Vectors...............................478 433. The Conception of Force in Non-Euclidian Space...................480 434. Neutrality of Heteronymous Vectors...............................480 Appendix I . Notes on various points..................................483 11. A Dynamical Parable . . . . . ■ . . . 496 Bibliographical Notes.................................................510 Index .............. 540