Freedom in Machinery (Paperback, Revised)

Volume I: Preface; General introduction; 1. Mechanism and the mobility of mechanism; 2. Overconstraint and the nature of mechanical motion; 3. Some of the various lines in a moving body; 4. Enumerative geometry and the powers of infinity; 5. Rigidity and the instantaneous screw axis; 6. Irregularity and the freedoms within a joint; 7. The possibilities in reality for practical joints; 8. Some elementary aspects of two degrees of freedom; 9. The linear complex of right lines in a moving body; 10. Line systems and the dual vectors in mechanics; Volume II: Preface; 11. Geometrical properties of the linear line systems; 12. The vector polygons for spatial mechanism; 13. On the two theorems of three axes; 14. Some reciprocities across the middle number three; 15. The generality and the geometry of the cylindroid; 16. The discovery in a mechanism of a cylindroid; 17. Action, notion, clearances and backlash; 18. Singular events in the cycles of motion; 19. Fundamental relations and some algebraic methods; 20. The special geometry of some overconstrained loops; 21. The helitangent lines in a moving body; 22. The cylindroid in gear technology; 23. The general and the special screw systems; Bibliography; Index of proper names; Subject index.