852 
MR. G. A. SCHOTT ON THE REFLECTION AND REFRACTION OF LIGHT. 
Hence, we have finally, using the values of oig, a^, 
R2 = 
cot- (ig + fi) + M“ 
cot- (ig — h) -}• M- 
(B-C) 
1 +S 
sin ^ sin fi sin 2ig sin 2fi { (/a,^ — cos 2i(, cos 2fi} 
-f 28. 
sin^ (^0 —fi) sin^ (i^ + fi) (cos®(^ — fi) + M- (io — fi)} {cos^ (i^ + fi) + M- sin^ + fi)} 
sin 2^0 sin 2fi. | A'(/Ai2 _ ^^2) 4. (A — J_ — (A — fi^^) I 
I _^_Wo-_ 7ll^~ J 
/io sin iQ. {cos-iio — fi) +sin-('io — fi)} {cos®(io + fi) -t- M- sin-('io -f fi)} 
4 cos^ %. sin^ i~i 
sm\ig — ii). sin-(?o + fi){cot-(io —h) + M2} 
1 _ (A-/^--) + (^,^-/.o^) (B-C) 
sin io sin cos 2io cos 2^} 
sin-(to + fi) {cos-(io — fi) + M- sin2(7:o — fi)} 
^oVi“ W-H-fT) sin^ (^-fi){A'W-;i,/) + (A-/xi2)^ _(A-/ao^) 
_ 2S__!__!!_ w^ j 
+ /^u sin ^0• {cos2(io-fi) + M2 siinXio-fi)} 
and 
_ ^ tan (t, - h ) + tan + fi) 
P 1 _ M- tan (tp—fi). tan (ig + r^) 
^ . . ;ai“ — A {1 + M- tan-(to — fi)}{l 4- M- taid(to+ fi)} 
/^O cos Ig ^^2 _ ^^2 
tan o- = M tan {ig—{j)-\-S[jig sin L ■ . (t) + ^1) r ]y [3 ^ j 
/^uMi sm (io+ii) 
And here 
_ AiSin^p —/tp sill _ /if — /^p- 
^p«l + fM^Ctg 
^1 -t /^o" 
I + 
’ 
o I „ o 
m.n 
mp 
H'l" + 2 sin ig sin fi 
h (X.). 
as long as sin-fy > l/wg®, and siir > Ijnif. 
