SEQUEL TO THE EPOCH OF NEWTON. 257 



tides; and was enabled to produce Tide-tables 

 founded upon the data thus obtained. Some 

 mistakes in these as first published (mistakes un- 

 important as to the theoretical value of the work,) 

 served to show the jealousy of the practical tide- 

 table calculators, by the acrimony with which the 

 oversights were dwelt upon; but in a very few 

 years, the tables thus produced by an open and 

 scientific process, were more exact than those 

 which resulted from any of the secrets ; and thus 

 practice was brought into its proper subordination 

 to theory. 



The theory with which Mr. Lubbock was led to 

 compare his results, was the Equilibrium-theory 

 of Daniel Bernoulli; and it was found that this 

 theory, with certain modifications of its elements, 

 represented the facts to a remarkable degree of 

 precision. Mr. Lubbock pointed out this agreement 

 especially in the semi-mensual inequality of the 

 times of high water. The like agreement was after- 

 wards (in 1833) shown by Mr. Whewell 41 to obtain 

 still more accurately at Liverpool, both for the 

 Times and Heights; for by this time, nineteen years 

 of Hutchinson's Liverpool Observations had also 

 been discussed by Mr. Lubbock. The other inequa- 

 lities of the Times and Heights (depending upon 

 the Declination and Parallax of the Moon and Sun,) 

 were variously compared with the Equilibrium- 

 theory by Mr. Lubbock and Mr. Whewell ; and the 



41 Phil. Trans. 1834. 

 VOL. II. S 



