211 
of Edinburgh, Session 1873-74. 
The element of volume included by the surfaces u , u + Zu, v , 
v+ Sv, w, w+8w, is easily seen to be expressed by 
SuSvSw 
~ S . VuVvVw * 
Hence we have the following — 
fjfvdxiyth = -fff P 
dudvdw 
S . VuVv'Vw 
-IIP 
d£drjd£ 
S . V£VrjVi ' 
From these we have, besides the more complex transformation 
from u, v , w , to y , £, the common one 
ffpdzdyd* = -fff . P 
dx dx dx 
du ’ dv 5 
dy dy dy 
du' dv ' dw 
dz dz dz 
du ’ dv ’ 
dudvdw , 
and also the general theorem 
di dg d% 
du du du 
du' dv ' dw 
df'Jy'T^ 
dy drj dy 
dv dv dv 
du ’ dv ' dw 
df'dy'Tt 
d£ di di ; 
dw dw dw 
du ' dv ’ dw 
df'ly'lf 
3. On the Physiological Action of Ozone. By James Dewar, 
Esq., Lecturer on Chemistry, and John G. M‘Kendrick, 
M.D., Physiological Laboratory, University of Edinburgh. 
A systematic investigation into the physiological action of ozone, 
so far as we are aware, has never been undertaken. Isolated obser- 
vations have been made by many while engaged in the examination 
of its physical and chemical properties, which have chiefly tended 
to show that it acts as an irritant on the mucous membrane of the 
respiratory tract, and they have also observed the peculiar odour 
which it excites by its effect on the organ of smell, from which the 
name ozone originated. Beyond this little has been attempted. 
