French National hifiitute, S89 



procefs, which has a great refcmblance to that ufed for finding 

 the differentials of all the orders. 



This procefs he applies to different polynomous quantities 5 

 he teaches the method of finding the derivations in their 

 greateft fimplicity, and of forming them almoft without any 

 Other trouble than that of writing them. Each term of the 

 refolution may be obtained directly, and without being 

 obliged to pafs through the intermediate ones. 



This new calculus may be applied to fimple and double 

 recurring feries, and to the general recurrence of feries. It 

 will ferve often alfo to cive more generality to known the- 

 orems, move vigour and brevity to demonftrations ; in a 

 word, it is of the greateft utility in the differential and 

 integral calculus, which indeed forms only a peculiar cafe of 

 the calculus of derivations. 



The foreign members of the commiffion of weights andr 

 meafures continue their information refpecting the interett 

 with which their different governments receive the models 

 of the metre and chiliogramme. M. Bugge, director of the 

 obfervatory and of the board of longitude at Copenhagen, 

 informs us that thefe two models have been committed to his 

 care. C. Tralles, the deputy from Helvetia, and the mi- 

 ni fter of arts and fciences for that republic, gives reafou 

 to hope that the metric fyflem will be adopted in that coun- 

 try. All thefe letters have been printed. We muft not here 

 omit a circumftance which adds to our hopes in regard to 

 Helvetia ; which is, that, by a fortunate chance, there exifis 

 a very fimple and remarkable relation between the metre 

 and the Zurich foot, one of the moft ufual meafures in 

 Swiflerland. This foot is exactly equal to three decimetres, 

 or at lead it docs not exceed it but by two centi- millimetres, 

 that is to fav, by a little ffefc than the hundredth part of a 

 line — a quantity that may be neglected in commerce, and 

 which is often inappreciable even in the niceft operations of 

 the pbyfieal fciendea, 



Ybt.VIII. £ ? M ISC EL- 



