DISCUSSION OF TIDES IN BOSTON HARBOR. oo 
TABLE VIII. 
Year. o 4 re HY, H, |4(H’, + H’,)|4(H4—H’2)) 
h. m. h. m. Feet. Feet. Feet. 
0 42.5 6 55.7 5. 21 5. 24 4.99 
0 44.3 6 56.4 5.27 5.17 5.05 
0 42.4 654.6 | 5. 21 5.17 5.02 | 
0 42.1 6 54.3 | 5.16 5.19 4.99 
0 41.8 6 54.8 5.15 5. 30 4.93 
0 39.2 6 52.0 5.13 5.82 | 4.90 
0 40.0 6 53.1 4.98 5. 28 4. 83 
0 39.5 6 53.0 5.05 5. 37 4, 84 
0 40.2 6 51.0 5. 04 5. 49 4,73 
0 41.6 6 53.4 4,99 5.42 4.79 
0 41.8 sIG RON 4. 86 5. 33 4.77 
0 39.4 6 52.2 4.90 5.24 4.83 
0 42.5 675555 4. 86 5.11 4.88 
0 44.0 6 56.4 4.99 5.22 4.89 
0 43.6 6 55.1 5. 00 5. 25 4.88 
0 45.2 6 55.5 4.97 5. 26 4.85 
0 45.1 6 58.7 5. 02 5.16 4.93 
0 46.7 6 58.9 5.14 5.11 5. 01 
0 42.6 6 54.9 5. 048 5. 249 20. 150 4. 897 
In this case, as in the preceding one, the argument changes so slowly that we can take $ (H’, 
4+ H’,) as the mean level, and $ (H/;—H’,) as the mean range, corresponding to the given value of w. 
From the preceding values of 2’; and i’, we obtain, in the same way as heretofore, eighteen 
equations of the form 
oL=M, sin 76+ Ng COS 7 
which gives by (48), 
(77) Be=—2™.5, &6 == — 509 
From the last column we obtain eighteen equations of tle form 
5H=M, cos 7¢-+Ne Sin 7 
which, by (49), gives 
G8) K, Rg =— 0.112 ft., Rg =— .0235, ag —=—11° 
INEQUALITIES DEPENDING UPON 73 AND 7p. 
33. If in Table III we combine all the values of 241, 2/2, H’;, and H’2, in which 7;+72—7°.5, and 
then all those in which 7,-+-7.—22°.5, and so on; and likewise combine all those in which 7,—72 
=7°.5, and then all those in which 7,—7,—22°.5, and so on, we get the following table of averages, 
corresponding to twenty-four values of the argument 7;+72—7s, and also to twenty-four values of 
the argument 7,—72—7, in which the inequalities of all the other arguments are eliminated: 
5* 
