A PARTICULAR METHOD IN CENTROIDS 



By J. J. Browne 



The fundamental theorem of this article is, as will appear, well 

 known and very elementary. It seems to have been used almost en- 

 tirely in connection with problems on the motion of the Center of 

 Mass. The idea of using it to determine centers of mass is not how- 

 ever new. The writer had his attention called to it when studying 

 the subject, and its applicability in some elementary cases in Statics 

 and Hydrostatics is obvious. He has not, however, after inquiry, 

 been able to find that examples, as in this paper, of its use in con- 

 nection with infinitesimals, have been published. 



Almost all the results here established are usually arrived at by 

 the Integral Calculus, and some of them require rather involved in- 

 tegrations. 



The method seems interesting, though apparently rather limited 

 in its application. 



Figr 1. 



