Chap. VI.] Mathematia. 73 



entirely the growth of the last age, almost every 

 part of this science has been extended and im- 

 proved within the same period. Of a few of these 

 some transient notice will be attempted. 



Since Newton published an account of liis cele- 

 brated method oi" Fluxlom, this curious part of 

 niatliematical science has received new light, and 

 been^carried to new degrees of extent, simplicity, 

 and refmement. For these improvements we are 

 indebted to Taylor, Craig, Maclaurin, Emerson, 

 Landen, Simpson, and Waring, of Great Britain ; 

 to Clairaut, d'Alembert, Condorcet, de la Croix, 

 and de la Grange*, of France; to Manfredi, of Italy; 

 to Hindenbourg and Arbogast^ of Germany ; and 

 to none, perhaps, more than to the great Eulcr, 

 whose work on the Integral Calculus, or tlie inverse 

 method of Fluxions, may be considered as holding 

 the hrst rank on the subject of which it treats. 



The principles o^ Algebra have received import- 

 ant additions, and been more satisfactorily displayed 

 during this period, than by the mathematicians of 

 former times. Of this department of mathematical 

 science the most distinguished cultivators v*cre 



lie and private duties; If ever he felt indignation against ■A\^y 

 particular class of men, it was against the enennes of Christianity, 

 especially against the apostles of intidelity. He published a va- 

 luable work in defence of revelation, at BerHn, in 1/47. 



* M. la Grange lias lately presented to the woild a very im- 

 portant work, entitled, the Theory of Analytical Fuiicfions, in 

 which he is supposed to have shown, that every thing hitherto 

 called Fluxions, or the Viffcraitial Calculus (the phrase chiefly 

 used on the Continent of Europe to express Fluxions), whetJier 

 according to the method of Newton or Leibnitz, may be reduced 

 tp the ordinary calculations of fine quantities. 



