Preface; Part I. Oceanic Tides: 1. The harmonic analysis of tidal observations; 2. On the periods chosen for harmonic analysis; 3. Datum levels; 4. A general article on the tides; 5. On the harmonic analysis of tidal observations of high and low water; 6. On an apparatus for facilitating the reduction of tidal analysis; 7. On tidal prediction; 8. On the correction to the equilibrium theory of tides for the continents; 9. Attempted evaluation of the rigidity of the Earth from the tides of long period; 10. Dynamical theory of the tides; 11. On the dynamical theory of the tides of long period; 12. On the Antarctic tidal observations of the Discovery; Part II. The Lunar Disturbance of Gravity: 13. On an instrument for detecting and measuring small changes in the direction and the force of gravity; 14. The lunar disturbance of gravity; Index.