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CONTENTS.
ON THE MEASUREMENT OF QUANTITIES.
Art. | Page | |
1. | The expression of a quantity consists of two factors, the numerical value, and the name of the concrete unit | 1 |
2. | Dimensions of derived units | 1 |
3–5. | The three fundamental units—Length, Time and Mass | 2, 3 |
6. | Derived units | 5 |
7. | Physical continuity and discontinuity | 6 |
8. | Discontinuity of a function of more than one variable | 7 |
9. | Periodic and multiple functions | 8 |
10. | Relation of physical quantities to directions in space | 8 |
11. | Meaning of the words Scalar and Vector | 9 |
12. | Division of physical vectors into two classes, Forces and Fluxes | 10 |
13. | Relation between corresponding vectors of the two classes | 11 |
14. | Line-integration appropriate to forces, surface-integration to fluxes | 12 |
15. | Longitudinal and rotational vectors | 12 |
16. | Line-integrals and potentials | 13 |
17. | Hamilton's expression for the relation between a force and its potential | 15 |
18. | Cyclic regions and geometry of position | 16 |
19. | The potential in an acyclic region is single valued | 17 |
20. | System of values of the potential in a cyclic region | 18 |
21. | Surface-integrals | 19 |
22. | Surfaces, tubes, and lines of flow | 21 |
23. | Right-handed and left-handed relations in space | 24 |
24. | Transformation of a line-integral into a surface-integral | 25 |
25. | Effect of Hamilton's operation on a vector function | 27 |
26. | Nature of the operation | 29 |