252 Royal Society \ — Prof. Faraday on the 



Section IV. — Theory of diurnal tide as referred to the actions of 

 the sun and moon. 



Section V. — Discussion of the heiglit of apparent mean water, as 

 deduced from the heights of high and low water only, corrected for 

 diurnal tide ; with reference to difference of station, and to variations 

 of the phase of the moon, and of the declination of the moon. 



Section VI. — Discussion of the range of the tide, and of semi- 

 menstrual inequality in height, apparent proportion of solar and 

 lunar effects as shown by heights, and age of tide as shown by 

 heights, from high water and from low water. 



Section VII Establishment of each port, and progress of semi- 

 diurnal tide round the island. 



Section VIII. — Semimenstrual inequality in time, proportion of 

 solar and lunar effects as shown by times, and apparent age of tide 

 as shown by times, from high water and from low water. 



Section IX. — Formation of the time of diurnal high water ; pro- 

 gress of the diurnal tide-wave round the island ; comparison of its 

 progress and range with those of the semidiurnal tide. 



Section X Method of expressing the height of the water through- 

 out every individual tide, by sines and cosines of arcs ; and expres- 

 sions in this form for every tide in the whole series of observations, 

 except those at Courtown. 



Section XI. — Discussion of the height of mean water deduced from 

 the analysis of individual tides; with reference to difference of sta- 

 tion, and to variations of the phase of the moon, and of the declina- 

 tion of the moon. 



Section XII. — Discussion of range of tide, or coefficient of first 

 arc, in the analysis of individual tides ; and of semimenstrual inequa- 

 lity in range, apparent proportion of solar and lunar effects, and age 

 of tide as deduced from range. 



Section XIII. — Establishment of each port, as deduced from the 

 time of maximum of the first periodical term in the analysis of indi- 

 vidual tides. 



Section XIV. — Semimenstrual inequality in time, proportion of 

 solar and lunar effects from times, and apparent age of tide as shown 

 by times, deduced from the time of maximum of the first periodical 

 term. 



Section XV. — Comparison of the results as to mean height, range, 

 semimenstrual inequality in height, age of tide obtained from height, 

 establishment, semimenstrual inequality in time, and age of tide ob- 

 tained from time, deduced from high and low waters only, in Sec- 

 tions v., VI., VII., VIII., with those deduced from the analysis of 

 individual tides in Sections XL, XII., XIII., XIV. 



Section XVI. — Remarks on the succeeding terms of the expres- 

 sions for individual tides, as related to the magnitude of the tide, to 

 the position on the sea-coast, to the position on the river, &c. ; com- 

 parison with the terms given by the theory of waves ; discussion of 

 the quarto-diurnal tides. 



Section XVII Separate discussion of the tidal observations at 



Courtown. 



