AITILUIIOX. KKl'l.ilKV l.S. 



same formula lo any other internal 



.:is been shrwn in Ait. -Ji -mial 



parti - ". Hence, adding t<> 1 the rc*ult* t 



vr to refer t< : all the par* 



xtornal, we get /<NVS - - 4J/1. 



Y-T- , which proves the proposit 



the researches of M. Chaales on the attr&< 

 to Duhamers Con Vom^t*. 



the onginal memoirs in the Journal de TEcole PblyUck, 

 noire*... dei Savan* Etrangeri, ton 

 original memoirs will be found copious references to 

 preceding writers on the .- 



On the general theory of attractions, the student may con- 

 sult a menu in Taylor's Sci* 



Memoirs, vol. ill., and in Liouvi <U J/aXA/matipMf, 



torn. VII.; and also a memoir l>\ M. ('iiosles in the Con- 

 naiuance dee Tempi pour lanntc \- 



Valuable notes 1 on some of Newton's prooositions 



respt^-::!! : attnu -tious will be found in the Memorie dtua Reale 

 Aooademw...di Torino, second series, vol. XL, 1851. 



Bonn- furtlu-r references will be seen in the article by Pro- 

 fessor Stokes already cited. 



application to the theory of * , we refer to 



a series of articles by Professor Thomson in different volumes 

 of the Cambridge and 1> ithcmatical Journal See 



and vol. in. p. 140. 



The following proposition* will illustrate the sub- 



I. T attraction of a uniform lam in i form 



regular polygon on a particle situated in a straight linr 



.c lamina at right angles 



plane. 



Let n be the number of sides in the polygon, a the length of 

 the perpendicular fnun tin- euitrv of the polygon on a side, 

 Lt axes of x and y be drawn through the centre of the 



