294 BELL SYSTEM TECHNICAL JOURNAL 



With this substitution, equations (47) simpHfy to 



Co = ei 



. 2cjoI 



sin 



C2 + C3 2c)il . 



y^ cos — H 



Cs V 2 



Ci + C2 + Cs 



— OiClZo^ 



- JhZoi 



C2 + C3 \ . 2ool 

 7^ sin — 



-[^ 



+ C2 + C3 0(^1 , V n • 2 ^^ 



ry n r- COS'' h Z02C0C2 Sin'^ — 



C0Z01C1C3 V V 



to = <p' 



tl 



C2 + C3 2col 



7; COS — 



C3 V 



(49) 



. 2co/ 



y / Ci + C2 + C3 y ^ \ 



76/ 



C2 + C3 \ . 2a;/ Ci + C2 + C3 . .col 

 -^ Sin 1 y ^ ^ sin^ — 



63 / V wZq^LiCz V 



+ C0C2Z02 cos^- 



Comparing these equations with equations (24) we have for the image 

 parameters 



cosh 6 — 



C2 + C3 2wl 

 7;; cos — 



63 V 



Ki — Zoi 



sin 



2 a)/ 



Ci + C2 + C3 



OiZoyClCz 



— 0)C2Z 



2-^02 



(50) 



+ Z02WC2 cos^ — ; 



i^2 



i^l 



