_ AM:l .....-fiatL...........SS2......./A, /dfa - to THEORY OF SCREWS. THE OF SCREWSTHEORY OFA STUDY IN THE DYNAMICS A RIGID BODY. BY ROBERT STAWELL BALL, LL.D., F.R.S., ANDREWS' PROFESSOR OF ASTRONOMY IN THE UNIVERSITY OF DUBLIN, AND ROYAL ASTRONOMER OF IRELAND. DUBLIN: AND[ODGES, FOSTER, CO., GRAFTON-STREET. BOOKSELLERS TO THE UNIVERSITY. 1876. DUBLIN : iat BY ANDPONSONBY MURPHY. r TO MY FRIEND, FREDERICK SIDNEY, LL.D.,J. I DEDICATE THIS BOOK, IN PLEASANT RECOLLECTION OF THE YEARS DURING WHICH I WAS A PROFESSOR AT THE ROYAL COLLEGE OF SCIENCE FOR IRELAND. CONTENTS. INTRODUCTION. PAGE. I. On the CanonicalForm ofa ofForces to a xviiSystem applied Rigid Body, II. On the Form of the of a . xviiiRigid Body,Displacement CHAPTER I. TWISTS AND WRENCHES. SECT. 1. Definition of the word IScrew, 2. of the word Twist, 3 Instantaneous3. Screws, 4 Definition of the word ib.4. Wrench, Notation for and ...Twists, Wrenches,5. Twisting Motions, 5 6. Restriction of the Forces, 7 The of ib. 7 Energy Position, 8. 8Theorem, ib.9. 10. 10Theorem, 11. . nConcluding Remarks, CHAPTER II. THE CYLINDROID. 12. .11Introduction, On the Virtual Co-efficient ofa Pair of . . . . ib.13. Screws, of14. the Virtual . . . . .Symmetry 13Co-efficient, 15. of Twists and ib.Composition Wrenches, 16. The ...... . . .Cylindroid, .14 General17. Property, 17 18. Particular 18Cases, Form of the .19. 19Cylindroid, 20. The Pitch ib.Conic, 21. 20 Summary, Vlll CONTENTS. III.CHAPTER SCREWS.RECIPROCAL PAGE.SECT. 2122.
_ AM:l .....-fiatL...........SS2......./A, /dfa - toTHEORY OF SCREWS.THE OF SCREWSTHEORY OFA STUDY IN THE DYNAMICS A RIGID BODY. BY ROBERT STAWELL BALL, LL.D., F.R.S., ANDREWS' PROFESSOR OF ASTRONOMY IN THE UNIVERSITY OF DUBLIN, AND ROYAL ASTRONOMER OF IRELAND. DUBLIN: AND[ODGES, FOSTER, CO., GRAFTON-STREET. BOOKSELLERS TO THE UNIVERSITY. 1876.DUBLIN : iat BY ANDPONSONBY MURPHY. r