854 MR. G. A. SCHOTT OT!^ THE REFLECTION AND REFRACTION OF LIGHT. 
Vibrations parallel to plane of incidence. Plane of polarization 2^^'f'pendicular to 
plane of incidence. 
These correspond to Fresnel’s tangent formula for perpendicularly polarized light. 
Electromagnetic and Contractile Ether Theories. 
/Ti I \3_ tan^ ip 
. , , • • B-C-J/Zo/ilSln^oSm^l 
1 + 46-. iXqIX. cos COS -;;-;r^-^- 
^ ^ ^pCOS-^o —/Aq cos-ij 
+ 4 SVrfii cos i„ cos {A-/^o^-(A-CW) si.i= i„)( A - (A G^,») sin^».) 
^ —yU-o'CCS-ti)- 
, / I ^ 5 , yu,,2 — A + (A — Gfjf) sin- ^ 
tan {p±)= 2 8. Pq cos Iq . 5 —^- 
• ^ ^ cos- ^(, — /iy- COS- 
(IX., p. 
843). 
Elastic Solid Theory. 
/J^ I \2 _ cot- (iy + t’d + 
cot- (t'o — -ij) + M- 
, I g3 (A-/iy^) (A-^1-) + (B-C) 
sin sin i-^. sin 21^ sin 2'ij. { {ix^ — /a,+“ + 4/x,|+j® cos 2'iy cos } 
sin-f-iy—■?'i)siid(iy + i{). {cos-('!;o — ^\) + M2sin2(i;o —} {cos“(t‘o + + M-sin-(i;o + \)} 
I 9 S (/^i^ ~ /^o^) 
sin 2io sin 2^ • | A' . _ ^^ 2 ) + (^ - fx{~) —^ ( a - fx^^) —„ 1 
• _L___ J _ 
/LiySin -iy. {cos2(?:y—2^)-(-M-sin2 (ty—h)} (cos^ (?y + ii) + M"' sm^(h + \)}_\ 
\(X.,p. 
/ 852). 
I \ _ A/I tan - /^) + tan (h + i^) 
tan (p -L) — M ^ 
^ . yu-j- — A {1 + RFtan- (^ — h)} {t + MHan^(^ + z,)} 
-i- po cos ^o ^^3 _ ^^2 {1 _ M3 taii (^y - h) tan + 2 i )}2 
where 
M = - 
yLij sin ty — /Xy Sin 
_ Mti" 
t^ofh 
A^A 1 
V . 2 . 1 . cy ' 1 pc "F Po L Pi 4“ Po ^ sin A sin L 
sin2 2 y-^, + A/sin--^ r-i r'o 01 
+ 
??ip 
Po 
provided sin^ iy > -^ , sin^ h > 
m, 
There is a point here which calls for remark, viz., as to the quadrant in which p +, 
p II are to be taken. Neglecting 8 , in the equations (V.) of § 5, p. 839, we find the 
