30 W. Ferrel on motions of Fluids and Solids 
polar regions causes a counter current qoinaia the equator in the 
parts nearer the earth’s surface, which would extend down to to 
the earth’s surface, if it were not for the bebe — ari 
from the friction of the earth’s surface, which will be expan 
sphere above in flowing toward the poles acquires an n eastwal 
motion relative to the earth’s surface, and after descending in i ' 
polar regions and flowing back nearer the earth’s surface toward — 
the equator, it tends toward the west, and on arriving in the 3 
equatorial regions it has a westward motion. If it were not for : 
the resistance of the earth’s surface, the mutual actions of the 
strata upon one another, whatever the initial state of the atmo ' 
sphere, would cause t them to have fina ally the same east or west 
motion at all heights in the same latitude, and this motion 
would be such as to satisfy pemeat (2), and also, aa the m 
. actions of the strata upon one another could not affect t 
m of the moments, it would ei such that the sum ret the m 
eadnts of all the particles would be the same as that of the init 
state arising from the earth’s rotation and from any i ial 
motion relative to the earth, which it might have had. . 
latter condition determines the constant in equation Q), 9 whie 
was shown in my paper in the Mathematical Monthly, to w 
I must refer for the method, to be, on the hypothesis of an in 
state of rest relative to the earth, equal to 2 7r2n. Wit 
value of the constant the equation gives Ais 
2 
T: D ef ee be f 
. ) ag (; sin 20 1)n 
9. Near the poles, where sin?6 is very small, D,g and 
ya lineal velocity rsin6D,@ must be ‘very great. 7 
e equator D;¢ is negative, and hence the motion the 
ne is equal to 4, which | =e nearly to the parallel of 38 
ence bet tween this paral] le the tion: is. . 
ward, but between it an Sea kes 
what has been shown 
tae ae p “et 
parallels er 85°, kd "etc cnn apres lara or 
the there, and a depression st ies poles and at the eq 
e amount of the pressure is represented by the term 7 
6(2n+D,4) Dig, and hence toward > pole, where D 
reat Hie this pressure is very great, and at the ches 
