592 
+ Aqip... at the time fp + At, with the values of the parameters 
a + Aa (change II). 
B 
For both changes we take the integral f dtL and calculate the 
A 
difference between the two values. By taking apart what remains at 
the beginning and at the end of the integration period we first obtain 
tB B 
A | dtL — LpAtg— La ta + | HAL. a x ne 
tA tA 
where dZ is the difference between the values of £ for two simul- 
taneous phases of the motions viz. 
n OL Ln PEG OL 
ie dg) FD Og HE Aa ori 3 eee 
1 Ògn 1 Ogn da 
where dq, , Sq are again differences for simultaneous phases. Therefore 
: d 
OG == do) eet re es ia a 
dt 
By partial integration of the integral in (4) we obtain therefore : 
tB e 
A | aL = (Lp &tg— La Ata) + 
i 
BOD n (OL 
= E ) OGB = Ondek 
1 Ogh B 1 Og A 
tB 
i en ze : bon d (=) ii 
deg ya a beans 
/ Ògn dt Ògn | 
tA 
{B 
oer ils 
+ haf as ne Ee 
Òa 
tA 
As however d refers to simultaneous, 4 to non-simultaneous phases 
we have: 
dga == Oqna — qua Sta 
: 3 (e) 
dqnp= Aqin — qnp tg 
Further: 
aL or | 
ARMEN TR ZN (/) 
Òg, _ Òg, 
So that we obtain: 
