CONTENTS. XIX 



PAGE 







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 476 



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 



II. A Dynamical Parable 496 



BIBLIOGRAPHICAL NOTES 510 



INDEX 540 



