4 
HEV. S. HAUGHTON ON THE TIDES OE THE 
From these equations we readily obtain — 
Table II. — A 0 . 
a 0 . 
0.1. 
hi. 
inches. 
inches. 
inches. 
88-9 
— 5-4 
-0-8 
90-6 
— 3-4 
-0-8 
91-0 
-27 
— 0-4 
91-2 
— 2'5 
— 0-3 
90-4 
—2-9 
— 17 
897 
— 2-5 
-3-2 
88-9 
— 1-6 
-4-3 
89-4 
+ 2-4 
— 4-0 
907 
+ 3-8 
-4-0 
<N 
p 
O 
05 
-1-64 
-2-17 
These numbers differ so much, that we must conclude it to be impossible, from the 
limited number of observations made, to deduce the law of the Fortnightly Change in 
the Mean Level of the water. 
II. The Diurnal Tide. 
The Diurnal Tide is represented by the expression 
A x cos s+Bj sin s, 
in which the coefficients A.j and B x are to be expanded by means of a fortnightly arc, 
as in the case of the coefficient A 0 . 
Let 
A^ao+eq cos w+a 2 cos 2w+&c. 
-\-bi sin u-\-b 2 sin 2 m+&c 
• ■ ■ ( 12 ) 
Bi =<*(,- 1 - 0 ,! cos w +02 cos 2u-\-ke. 
+ /3i sin u + fio sin 2u + &c 
. . . ( 13 ) 
We find by means of (9), (10), and (11) the following values : — 
