EEY. S. HAUGHTON ON THE TIDES OF THE 
12A 1 =(F 0 -F 12 ). 
4" {(Fi+F 23 ) — (7 u +F 18 )} cos (j) 
4~ {(F 2 +F 22 ) — (F 10 +F 14 )} cos 2 <t> 
4"{(F 3 4-F 21 ) — (F 9 +F 15 )} cos 3 (f> 
4-{(F 4 4-F 20 ) — (F 8 4-Fi 6 )} cos 4 <f) 
+ ^(F.+F m )-(F 7 +F 17 )}cos5^ (3) 
12B 4 = (F 6 F 18 ). 
4~ {(Fi4-Fh) — (F 13 4-F 23 )} sin<£ 
4-{(F 2 4-F 10 ) — (F 14 4-F 22 )} sin 2<£ 
4“ |(F 3 4-F 9 ) — (F 15 4-F 21 )} sin 3 <f> 
4-{(F 4 4-F 8 ) — (F 16 4-F 20 )} sin 4 </> 
4“ {(F 5 4-F 7 ) — (F 17 4-F 19 )} sin 5<£ (4) 
12A 2 =(F 0 4-F 12 )— (F 6 4-F 18 ). 
(F i4-F 23 )4- (F u 4-F 13 ) 
-(F.+F 19 )-(F t +F 17 ) 
12B 2 = (F 3 4-F 15 ) — (F 9 +F 21 ). 
12A 3 =(Fo4-F 8 4-F 16 ) — (F 4 4-Fi 2 4-F 20 ). 
j>cos3</> . . . (7) 
12B 3 — (F 2 4-F 10 4-F 18 ) — (F 6 4-F 14 4-F 22 ). 
In these equations <£=7^-= 15°. 
Applying the foregoing equations to the hourly observations at Port Kennedy 
already published in Part VI., we find the following values of the Coefficients, which 
contain implicitly the 24 observations made on each day : — 
