1907-8.] On the Theory of the Leaking Microbarograph. 443 
index of the microbarograph comes to rest at a distance = 3000y above 
its zero. 
Case 3. As an example of an elevation of pressure with a rounded 
maximum, take 
VS = ST 0 + a( 1 - cos nt ) , 
with the condition <x = 0 if £> 27 r/^. 
Then, if t<2irjn, 
Hence 
pet* = VS 0 + /a dt(V > 0 + a-a cos nt)e & 
^ l A n sin nt + p cos nt}#*. 
_ , n z a x ixa , . , , x 
p = + a - -- e - & - J (n sm nt + /* cos nt) ; 
/x z + n z p. z + n z 
n*a 
y = VJ -p= 7 "- -e -^ + —J 1 '* (ix sin nt - n cos nt) 
/x z + n z [x z + n z 
y— J 1 a A M sin nt -n cos nt + ne~v*\. 
fl Z + 7l Z 
That is, if tan ^ = p,jn, 
y = ci cos x{ - cos {nt + %) + cos^e - ^} 
Also, if t > 27t/'?^, and T = 27 r/^, 
per- 1 = 73, put + a ( e ia - 1 ) - _ - //} 
= w o^+-yyK-i); 
fx z + n z 
/x z + n z 
( 13 ). 
p — VJ Q + 
