PKOFESSOK A. E. TE LOM-] OX THE IXTEGRATIOX OF THE 
.SO 
Irrv 
r f r / ^ 
= 11 dydy' - r\{coH K (ct — r) — KrsinK{ct — r)] 
cz 
—- 3 - 0 ^-k“~\7i {(3 — K'r')cosK(cf — r) — 3/crsin/c(c^ — r)] 
+ "/i{cos K {cl — r) — K)'smK(ct — ?‘)j 
(z — z )~ + (x — j:'f - 
--/l [cos K {Ct — ?■) j 
i-rruc = 
+ 
j" dx'dy' + 'Cj-^ ) (cos K (c/ — r) — /crsin/c(c^ — 7')j 
' -“Vi - {(3 - Kh ~) cos /c (c^ - r) 
— S/cr sin /c (c^ — r) [ 
47ry+ = I dxdy' 
0/ 
-1 
dz 
-fi [cos K {ct — r) — KV sin k {ct — r) ] 
d~)' ^ 
— 'g-j- Vi {c 0 SK{ct ~ /■) — Kr sill K{ct — 0 ')] 
(«). 
(65) ; 
o^/- ^ 
+ T "] [(3 - xh - 
<xd)/ 
. 0/ - y'f + (- - _ 
■') cos K {ct — r) — Skv sin k {ct — r)} 
Cj [cos K {ct — ?•)} 
. . . (66), 
477,/^ = 
3; 
-1 
0 .:- 
5/1 [cos K (c/ — r) — KV sin K{ct — i')\ 
O-?’ ^ 
0,r0v 
7’ 
I [(.3 — K-r~) cos K {ct — r) — Skv sin k {ct — 7 ‘)] 
.-1 
+ Ui [cos K {ct — 7 ’) — KV sin K {ct — 7 ’)} 
, (, ~ c')^ + ( 7 ^ - 7 :')^ . , 
- -) 
[cos K {ct — 7’)] 
. (SO. 
-IttJi ^ = (/.<■ dij 
-7 cr ^ 
fi + d\ ) [cos K {ct — r) ~ KV sin k {ct — >■) ;■ 
(:,)■ 
3’r-i 
0 ’, 
-1 
— K'n") cos K {ct — r) 
— 3/cr sin k {ct — r) 
( 68 ). 
Here tlie parts of . . . that arise from (7^ cos k ct, . . 
terms in sin k Ct being omitted. 
[27. {Re-written March, 1901.)—The forms of the expressions for a 
are written doAvii, the 
+ > 
. have an 
important Ijearing on the determination of the functions 7 ?^ . . . The integrals, 
