74 Mathematics, [Chap. VI. 



StirJiiig, Simpson, and AV'aring, of Great-Britain ; 

 the Bernonllis, Cramer, and Euler, of Switzerland ; 

 and Clairaut, Bezout, Lagnj^, de la Grange, and 

 de la Place, of France. 



It may be asserted that in almost every branch 

 of what is called Modam Analysis^ much new light, 

 and many curious refinements have been introduced 

 by the mathematicians of the eighteenth century. 

 In the doctrines o^ Series, o^ Increments y of Diffe- 

 renceSy of Infinitesimalsy &c., great ingenuity has 

 been successfully employed in modern times. And 

 the application of these to astronomy, and other 

 branches of philosophy, may be considered as 

 forming a grand aera in the history of science. 

 For many of these improvements the public is in- 

 debted to several of the mathematicians mentioned 

 in the last paragraph; to whose names may be 

 added those of baron Maseres, of Great Britain, 

 and of d'AIembert, Vandermonde, and Prony, of 

 France. 



The doctrine of Logarithms has also been im- 

 proved in several respects in the course of the last 

 century. New methods of calculating logarith- 

 jinc tables have been given by Sharpe, Taylor, 

 Jones, Dodson, Reid, the illustrious Dr. Ritten- 

 liouse* of America, and last of all by Mr. Bonny- 

 castle. Beside the labours of these great mathe- 

 maticians, the subject of logarithms in general has 

 been more fully and happily illustratal than be- 

 fore, by the several learned works of Leibnitz, 

 A\'olfuis, Kcill, Maclaurin and Sim])Son. 



* Sec Transactiom of the American rhilosoj)hical Society, vol. iv. 



