128 
SIR G. B. AIRY ON THE TIDES AT MALTA. 
M+P sin 2 #4- Q cos 204 m P sin 6-\-q cos 6, 
(where the second and third term express semidiurnal tide, and the fourth and fifth 
express diurnal tide). Then the several measures of elevation in the first group are 
M+P sin |j-4-Q cos ¥ + p sin ^+ q cos ^ 
TliT i B 1 ^7T | A 37 7 .37 7 37T 
M+ P sin — + Q cos — + p sin — + q cos — 
* % * * -5'r 
^ . llir , „ II 7 r , . 117T Hit 
M+P sin — +Qcos — + psm— +£cos — ; 
and, summing these columns vertically, and dividing by 6, 
Gl=M+- 
12 sin 
cos 0— cos 
12tt\ 
4 
24 
+ 
— — — (cos 0— < 
12 sin —V 
48 
24 ) 
12t r\ 
3 48 ) 
*1 o * 
12 sm — 
24 
. . 12t r 
— sm 0+sm-^j- 
+ 
12 sin 
q ( . . . 12t r 
_/_ sm0 + S m — 
m — ' 
48 
similarly 
G2=M+ 
1 
( 12ir 2 4 tt) 
;■ Q / 
7 r ' 
L — 
v cos— -cos— -j 
12 sin — ' 
. 12? r . . 24 tt\ 
-sm -^ + sm Ti -j 
24 
24 
4- 
12 sin 
12t r 
cos — -cos 4g 
48 
24tt\ q t 
48 sin^V 
48 
. 12t r , . 24 tt' 
sm ¥ +sm ¥ 
G3 = M+ 
12 sin 
247 7 367r\ 
^-cos^) 
4 
24 
4- 
12 sin- 
2477 367r' 
cos— -cos — 
48 
12 sin — 
24 
) + i^( 
48 
. 247T . . 3677 
■sm— +sm — 
. 247 r . . 367rN 
— sm— +sm- 
48 
G8 = M+ — — — ( 
1 9 sin — \ 
8477 967 t\ Q 
COS— COS-7T7- ) + 
24 
24 
24 
12 sin 
. 8477 , . 9677\ 
~24/ 
24 
8477 
9677^ 
+ i^r^- cos 48 y 
48 
4- 
. 8477 . . 9677\ 
-sm— +sm li -) 
48 
