MR. LUBBOCK ON THE TIDES. 
117 
Table VIII. (h.) 
Showing a Comparison between the Semimenstrual Correction at Liverpool in the 
Interval and in the Height, as deduced from theory and from the results of 
observation contained in Tables II. and III. 
Moon’s Hor. Par. 57', and Decl. 15°. 
Apparent 
Solar Time 
of Moon’s 
Transit 
A. 
Interval. 
^ + constant. 
Height. 
A. 
Theory. 
Observation. 
Theory. 
Observation. 
h 
m 
h 
m 
h 
m 
feet. 
feet. 
0 
0 
12 
21-2 
17-67 
0 
30 
12 
13-2 
12 
12-3 
17-51 
17-46 
1 
0 
12 
5-3 
17-37 
1 
30 
11 
58-7 
11 
57-0 
17-00 
16-78 
2 
0 
11 
51-0 
16-58 
2 
30 
11 
45-0 
11 
43-9 
16-58 
15-77 
3 
0 
11 
40-2 
15-38 
3 
30 
11 
38-2 
11 
37-0 
14-70 
14-40 
4 
0 
11 
38-2 
13-97 
4 
30 
11 
41-2 
11 
40-4 
13-30 
13-02 
5 
0 
11 
50-3 
12-69 
5 
30 
12 
2-8 
12 
2-8 
12-29 
12-14 
6 
0 
12 
21-2 
12-15 
6 
30 
12 
36-5 
12 
37-9 
12-27 
12-54 
7 
0 
12 
51-9 
12-65 
7 
30 
13 
1-5 
13 
1-7 
13-25 
13-81 
8 
0 
13 
4.4 
13-92 
8 
30 
13 
4-2 
13 
5-7 
14-72 
15-27 
9 
0 
13 
2-0 
15-39 
9 
30 
12 
58-2 
12 
58-2 
1600 
16-45 
10 
0 
12 
51-6 
16-59 
10 
30 
12 
44-5 
12 
44-5 
17-02 
17-22 
11 
0 
12 
37-0 
17-36 
11 
30 
12 
29-0 
12 
29-0 
17-52 
17-66 
a ! = Moon’s Right Ascension. a — Sun’s Right Ascension. 
;jj = Sidereal Time. 
f/j — a' — ^ a — a! — <p (Jj ■ — a = t|/ — (p. 
h = Height of High Water. 
The columns headed “ Theory” have been calculated from the expressions 
tan 2 = 
(A) sin 2 <p 
1 + ( A ) cos 2 <p 
h — D + (E) { (A) cos (2 4 1 — 2 <p) + cos 2 4 1 } 
log ( A ) = 9*56965 log (E) = 0*871*30 D — 7* 46 
