842 MR. G. A. SCHOTT ON THE REFLECTION AND REFRACTION OF LIGHT. 
- c 8 (a + a) - ^ 
cos Ij cos \ cos cos ^o / \COS tg ® cos «. /__ 
= - + , 8 (a - AWs^f-^— _ 
_COS tj cos ^g \ cos l-^ cos Ig / \COS ^o «■ cos « / 
4 . _ I afa — + a) - 8-2 (. — + —T —) 
OS COS ^g \ cos ly cos %Q / \cos tg a cos « /_ 
¥0 
cos I 
1 + 8 ^ 
L 
since K + 2L + M = a^A (p. 837). 
Since r = Re‘'’, c = Se^"^, changing t into — t, multiplying and dividing, we have 
RK 
) - 2 a 
cos cos Zq 
o, / /ii_ /^o 
^0 K 
cos Zy cos ZqJ \cos ^g a cos Zy a 
-\- B^i a 
A 
\ cos Zy COS tg 
y I 233 /_a_ —^ 
\cosh cos-ig/ \cos?.j cos^g/ \cos^g a cos?i a 
/ig K /J,y M \ 5 / fly fly. 
~ A-— +32 a 
COS?^ COS4g 
A 
s- 
_ A''! I A'-u 
cos Zy cos iyy/ 
- 2 8^( -^ + 
M'o 
fl, + 
cos cos ZqJ \cos Zq a cos Zy a 
cos Zy cos Ig 
-r + A 
= f 1 + 2 82 - 
COS” ly \ a 
P'1 
r+ '^“■r+lS/a 
COS rj cos ^g 
PiPi) 
cos Zy COS ^o 
+ A 
H'l 
^--^, + ,8 (a 
cos cos Zyy 
fhPi) _^ , 
cos iy cos ig / 
A^i 
H- -i8(ft — + A 
cos 2 .^ cos ^o \ cos Zy cos ^g 
Plpii 
P\ 
- - -^ - iS(o 
cos ij cos tg 
fhPo 
cos 'iy cos ^g 
- A 
Pi 
7 - + 2t8 
A^o 
COS” COS” Zyy ■ cos tg \ COS” Zy 
a 
Pi 
- - A 
P\ 
Pii- 
— 2t8 
COS” COS” ^g 
^0 JfL__ A 
cos 4g \ COS” 
A^i 
r + —+ iB{a 
cos Zy COS ^o 
e-‘“ .= 
PlP^^ 
cos Zy cos Zyy 
- +A 
A^i 
-i8(a 
COS Zy COS Zy, 
PlPo 
cos Zy cos 4g 
-f A 
