FLAME DIMINISHED BY ELECTRICITY. 



283 



Or using radius r, instead of radius 1, and writing -^— DemonstrMlon 



— m Cotes** 

 = J-, we have flwureaa. 



Cq z y z — 2qyr cos. Qx+l 



• • ; «? a </ t — 2qi/r cos. 2x 4-1 



ivisors< i - : yi n ^ J 7 .« 



jg y — 2^yrcos.4a:f 1 



(. &c. &c. 



formula (o m y m — ; m j 2 , andd 



And also 



Cq X y* — 2qyr cos. x{-l 

 formula (o'nyn + r m * and divisors ) q\y % — 2oy r cos. 3*4- 1 

 '* * ' ; ' )q y — 2qyrcos.5x-\-l 



(, &c. &c. 



Now the first set of these divisors agrees with PA 4 , P C 2 , 

 P E% &c. in the above figures; and the second set with 

 PB% PD 1 , PF% &c. 



For since q is undeterminate, make gynOP, r = OB, 

 also r.cos. x=OQ; then by (Euclid 13, 2) 



PB : -P0 2 - 2 O Q x O P 4- O B a ; 

 and it is exactly the same with all the other divisors. 

 Since therefore (OB m — PO^^PA'xPC'xPE^c. 

 and (0B«4-P0 m ) i = PB 2 xPD i xPF*&c. 



also OArOB, it follows, that 



OA^PO^PAxPCxPE, &c. 

 and OA m =P O = P B x P D X P F, &c i 



Q. E. D. 



On the Influence of Electricity on Flame: by Mr. Leopold 

 Vacca, Colonel of the 32d Regiment of Light Infantry*. 



Jj LAME has been much used in electrical experiments, Effect of dec 

 but 1 do not know, that the effect produced by electricity ^J^jjjjjv 

 on the figure of flame has ever been noticed. not known. 



We know, that, if water dropping from a slender siphon Water drop- 

 be electrified, the dropping will be changed into a stream, J^ ™^* d 



* Journal de Physique, vol LXV, p. 324. 



We 



