This page has been validated.
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 |
