This page has been proofread, but needs to be validated.

CONTENTS.

Page
Introduction 1
OUTLINES OF THE THEORY OF MACHINES.
Chapter I. General Outlines 29
§ 1. Nature of the Machine-Problem 29
2. The Science of Machines 36
3. General Solution of the Machine-Problem 41
Chapter II. Phoronomic Propositions 56
§ 4. Preliminary Remarks 56
5. Relative Motion in a Plane 57
6. Temporary Centre; the Central Polygon 60
7. Centroids; Cylindric Rolling 63
8. The Determination of Centroids 65
9. Reduction of Centroids 70
10. Rotation about a Point 76
11. Conic Rolling 77
12. Most general Form of the Relative Motion of Rigid Bodies 78
13. Twisting and Rolling of Ruled Surfaces 79
Chapter III. Pairs of Elements 86
§ 14. Different Forms of Pairs of Elements 86
15. The Determination of Closed Pairs 87
16. Motion in Closed Pairs 92
17. The necessary and sufficient Restraint of Elements 96
18. Restraint against Sliding 98
19. Restraint against Turning 103