264- The Rev. Brice Bronwin on the Theory of the Tides. 



cent, from one another in their amount of carbon, yet the 

 analysis of the whole bees'-wax gives results showing in differ- 

 ent specimens which I have examined, no difference of consti- 

 tution which analysis can reach. This renders it probable 

 that the action is definite, and that the sugar in all cases loses 

 the same amount of oxygen, although the remaining elements 

 may in different cases be differently grouped. 



w 



XXXIV. On the Theory of the Tides. 

 By the Rev. Brice Bronwin. 



[Continued from p. 192.] 

 E are now prepared to find (w) ; for we have 



^ = sin^fi -TY +2« sinficosfl -j- =S{2?? cos $A— (w- cv)/B} 

 OCT dt at 



sin 6 sin /(<p — §). 



Or, by neglecting the very small term containing (v), and then 

 eliminating B, 



8 / dA\ 



~ =2(2 cos 6A — 2B)/i sin 9 sin i{f—^)=%\cos 9A — sin fl ^ ) 



n sin d sin /(f — §) = 2D sin i{f — S) suppose. 



Integrating, observing that (p = ;i^ + 'nr— \|/, and ^-\-§=z a con- 

 stant, we have 



—(ti=%< -Dcosi((p — S) V, 



^^ — «j= -D2Cos2(<p — ^2) + DiCos((p — ^i) 



. (9.) 



where we neglect the arbitrary, because we take account only 

 of the terms containing <p. 

 When i=2, 



But 



(cos6A-sinfi^)sinS=-sin35-|(^-AJ. 

 V^°' 2 '°'2/ 



A 1/1 



sin^ 



d / A 



(s-i^fl) = ^^^"4/^— 



V^^'l cos^lj 



