442 APPENDIX. 



diligently studied by all who take an interest in the history of the mathe 

 matical parts of the Newtonian philosophy. It was occasioned by the 

 truly admirable publication of Mr. Eddleston ( The Newton and Cotes Cor 

 respondence}; and it throws important light upon some points that had not 

 been sufficiently examined. No more profound admiration can be cherished 

 for Newton than this eminent mathematician constantly and warmly 

 expresses; nor can any disciple find the least reason to complain, unless, 

 perhaps, he might dissent from the observation (p. 275.) on the inferiority 

 of the Newtonian notation and supposition of generation compared with 

 the Leibnitz plan, as if on the latter alone the calculus of partial differences 

 could have been invented. The investigations from pp. 458. to 476., and 

 from 522. to 535. are of great importance ; they strikingly illustrate the 

 facilities afforded by analytical process in the solution of dynamical pro 

 blems; they, indeed, show how the propositions of Sections II. and III. 

 (Lib. I.), are easily deduced from one general analytical formula, and may 

 afford new ground for the supposition of those who think that Newton 

 investigated algebraically, and demonstrated geometrically. M. Biot inclines 

 strongly to the belief that the abstract of the Principia in the Acta Erudi- 

 torum, referred to in the text, was the work of Newton himself. 



THE END. 



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