OF THE TIDES IN THE PORT OF LONDON. 



33 



Declination . . 0° 1 3° \ 6° 

 Correction . . 608 588 529 



9° 

 430 



12° I 15° 

 293 118 



18= 

 89 



21° 

 -329 



24° I 27' 

 -599 -896 



Hence 



-14 -25 -38 



25 24 22 17 11 4 -4 



are the corrections for the single terms of the Table. 



We shall now apply this correction with a negative sign, in order to consider the 

 law of the residual phenomenon. 



Table XX. freed from the Term 304 (sin^ A — sin^ §). 



Though this Table exhibits great anomalies, it appears clear that all the heavy- 

 minus terms, and only small positive terms, are in the upper left-hand and lower right- 

 hand quarter ; and that all the heavy positive terms, and only small negative terms, 

 occur in the upper right-hand and lower left-hand quarters. Also the terms are on 

 the whole larger in the outer than in the inner columns. It appears probable, there- 

 fore, that the law from which this proceeds involves a term d (sin^ I — sin^ A) sin 2 <p, 

 which would give such a result ; but the coefficient of this term cannot be determined 

 satisfactorily ; and hence the effect of declination in the moon is probably of the form 



(sin2 A — sin2 ^) (7300 — ds\n2(p). 

 Hence the correction to be applied to the height calculated for declination 0, is 



- sin* ^ (7300 — </ sin 2 0, 



- sin' ^ (7300 + dcos2{<p + 45°)). 



or 



MDCCCXXXIV. 



