When this was expressed as 
=yer'? 
iesil us ay 4a, -a?)? ae 
7 ial SAI 9 Nae) a = va? 
_1 ¥4a2—a@ ee 5c 2D 
Then inserting Eq. 5.138 into Eq. 5.125 gives 
LAP b ee 
Gy= | O=P Vly cio) | PEt Ny eiey 
Hi-f2 H2-f1 
J ee i 
7 {uy + bie — ua + bye} 
~ (1-2) 
y J COS Jw a= 251 sin jo 
v 4a2 — a? 
Therefore, if putting 
Qi 2b, oh iw, 
V4a9 —ay 
Gj=y/V1+U*cosGw +0) 
de a,—2b, 
where 6 =tan}¢ —————— }. 
y 4a2—a? 
Now let (1+ U? = V again, 
G;=y/Vcos(jw +6) 
= Veli®. pidyi4 VeliVe Oyj 
=i y/+80 yi. 
Then 
21,22= Vex jiMerid = Iglet? Go +9), 
138 
(5.138) 
(5.139) 
(5.140) 
(5.141) 
(5.142) 
(5.143) 
(5.144) 
(5.145) 
(5.146) 
