428 



The Rev. S. Haughton on the Solar and Lunar 



the coefficient of da is the cliiference of two parts, the first of 

 which is 



^na(u + e sin u) —nae sin u — ~na{u~ e sin u), 

 and the second is the hke function of «(,; the entire coefficient 

 therefore is i »«(;/ — z/q—c sin u + e sin Uq), We have therefore 

 c? V = i/?« [a —Uq—b sin u-\-e sin u^da 

 nae sin m 



+ 



] — ecosM 



nae sni ?/„ 



<?/- + nfl^^/l-e^rf(? 



rfr^ — ?iffl^ V' 1 — e^(i?^o J 



\ —e cos ?/o 

 or what is the same thing, 



d\ = hi'(t{t — t(^da +j)dr + qdd —pQdrQ— q^dO^, 

 the equation which was to be verified. 

 2 Stone Buildings, 

 Mai-ch 28, 1856. 



LIV. On the Solar and Lunar Diurnal Tides of the Coasts of 

 Ireland. By the Rev. Samuel Haughton, Fellow of Trinity 

 College, Dublin. 



[Concluded from p. 2/2.] 



Section XIII. Mean depth of Sea deduced from the Diurnal 



Tide. 



SOME interesting comparisons of the solar and lunar tides 

 may be made, deduced from the preceding results ; with 

 respect to the relative influence of the sun and moon, with respect 

 to the tidal intervals and establishments, and with reference to 

 the age of the lunar tide; and from each of these the mean 

 depth of the sea may be deduced. 



1. Relative effects of the Sun and Moon. 

 The following Table is formed from the constants already 

 given :— 



Relative efi^cts of the Sun and Moon. 



