430 The Rev. S. Haughton on the Solar and Lunar 



k 



Semidiurna l solar coefficient 

 Semidiui'ual lunar coefficient 



0-00323- 



= 0-47 



(11) 



0-00345- 



Substituting in equation (10) the mean value of the ratio of 

 solar and lunar coefficients deduced from our diurnal tides, we 

 find 



k 1 

 T~773' *= 5-12 miles. 



The value of the ratio of the semidiurnal solar to the semi- 

 diurnal lunar coefficient given by Laplace, Mecanique Celeste, 



vol. V. p. 206 (Paris, 1825), is - „kqqq ^ ^ value derived from 



the famous observations made at Brest, on the Atlantic semi- 

 diurnal tides. 



Substituting this value in equation (11), we find, — 



b ~ 780' 



The agreement of these results, derived from such different 

 data, is very remarkable, and cannot be considered as accidental. 



2. The Lunitidal and Solitidal Intervals. 



Arranging the intervals already given in a table, and reducing 

 them to the Greenwich meridian to obtain the establishments, 

 we find, — 



Diurnal Tidal Intervals and Establishments. 



A:=5-07 miles. 



According to the theory of tide waves without friction, low 

 water should occur at the time of meridian passage of the lumi- 

 nary, as was first pointed out by Newton, Princip. Math. lib. i. 

 Prop. LXVI. cor. 18 ; but in consequence of friction, the phase 

 of high water is accelerated by an interval equal to the diff"ereuce 

 between the tidal interval and half the period of a tidal oscilla- 



