Experiments on Bichlorure of Sulphur, §c. 71 
_ Dividing (11) by we we obtain 
1 ax - ax 
s=5,5(¢ —ce’2 ,e ) (12). 
This is the complete form of the function sought, since it con- 
tains the two arbitrary constants ¢ and c’; substituting this func- 
tion in (1) it becomes 
1 a(x+z) —a(«-z) “+; @(a~2z) A peie 
male —cc’? .é —ce’?,e +e7e'4, he 
1 a(z+z) —a(r42) a(xz-2) ~a(x-z) 
sale rr appa +e —cc’?.e (13). 
If we equate the co-efficients of the like terms of (13), we 
nd 1 
shall find that e= —4a?, ¢’= Ba substituting these values of 
~at 
cand ¢’ in (12) we find gr=e wie (14). 
It now remains to find the value of a. 
When 235 =90°, the two forces oppose each other, and then 
gx=0; substituting oe values in sie we get 
aaM 
o= sa te -3 1 
Equation ( 1 (15) givesa=v—1; therefore (14) finally becomes 
wh ow BY ced 
gos te =2cos.2 (16); this value of gr= 
2 cos. z agrees with Poisson’s value yr=2 cos. az, since he shows 
that it is necessary to take a=1. Moreover it is evident that no 
other value of gz can be found which will satisfy the conditions 
of the question, since equation ( 12) is in its most general form. 
Bs 
Pe 
Arr. VII.—Ezperiments on Bichlorure of Sulphur and certain 
carbures of hydrogen, made in the laboratory of Jefferson Col- 
- lege (Louisiana) ; by Prof. F. Curver. 
A current of bicarbure of hydrogen being brought to bear on 
some bichlorure of sulphur, under the influence of the solar rays, 
the gas was absorbed in considerable quantities with a great 
throwing off of heat. The liquid, at first of a very deep pome- 
