34 DISCUSSION OF TIDES IN BOSTON HARBOR. 
TABLE IX. 
Ng | Ay | A'2 H, H's No AY r’2 HH’, HH, 
| 
° h m. h. m. Feet. Feet. ° h. m. h. m Feet. Feet. 
1.5 0 41.7 6 54.3 5, 104 9. 232 7.5 0 43.4 6 55.9 5. 195 5. 123 
22.5 0 43.0 6 55.0 5. 099 5. 242 22.5 0 45.0 6 57. 7 5.119 5. 147 
37.5 0 42.2 6) go a82) 5. 073 5. 247 37.5 0 45.1 6 57.8 7 5. 095 5. 206 
o2. 01 0 43.4 6 55.9 5. 036 5, 207 52.5 0 45.3 6 58.0 5. 082 5. 254 
67.5 0 43.4 6 55.8 5. 015 5, 247 67.5 0 45.8 6 58.2 5.017 5. 253 
82.5 0 43.8 6 56.9 5. 060 5, 252 82.5 0 45.5 6 58.7 5. 034 5. 295 
97.5 0 43.9 6 56.6 5. 030 5. 270 97.5 0 45.4 6 57.8 4. 998 5. 372 
112.5 0 44,2 6 56.1 5. 029 5. 283 112.5 0 44.7 6 57.2 5. 016 5. 337 
127.5 0 43.4 6 56.0 4. 978 5. 259 127.5 0 43.8 6 56.5 4.999 5. 386 
142.5 0 43.5 6 55.9 5. 082 0. 202 142.5 0 43.2 6 55.3 4. 985 5. 364 
157.5 0 43.2 6 55.8 5. 025 5. 290 157.5 0 41.5 6 54.3 4.961 5. 390 
172.5 0 42.8 6 55.0 5.030 5. 278 172.5 0 41.2 6 53.8 4, 943 5. 343 
187.5 0 42.5 6 55.2 5. 089 bass 187.5 0 40.4 6 52.6 4, 926 5. 352 
202.5 0 42.2 (iS GEE 5. 107 5.2 202. 5 0) 73925) Givolend 4, 997 5. 332 
217.5 0 41.4 Giosns 5. 039 0. 28 217.5 0 38.7 6 51.8 4. 989 5. 267 
232.5 0 41.3 6 54.4 5. 067 5. 232.5 0 39.9 6 52.2 5. 060 5. 290 
247.5 0 40.8 6 53.8 5.111 5. 2 247.5 0 39.1 6 51.9 5. 108 5. 260 
262.5 0 41.0 6 53.5 5. 090 5.2 262.5 0 39.1 6 51.0 5.111 5. 196 
277.5 0 40.6 6 53.6 5. 077 5. 277.5 0 39.3 6 51.9 5. 130 5. 227 
292. 5 0 40.4 6 53.0 5. 067 5. 292.5 0 395 G25 1 5. 144 5. 143 
307.5 0 41.2 6 53.7 5. 102 5. 4 A) 0 40.3 6 52.8 5. 167 5. 147 
322.5 0 40.3 6 53.8 5. 108 3. Pas) || (251653 6 54.8 5. 183 5. 130 
37. 5 0 41.8 6 93.7 5. O80 5. 5 0 42.4 6 55.0 5.183 5. 103 
352. 5 0 41.5 6 54.5 5. 095 i) 352.5 0 44.2 6 57.1 5. 139 5. 128 
Means 0 42.2 6 54.38 5.066 | Means. 0 42.3 6 54.8 5. 066 5. 252 
By the methods heretofore used, we obtain from these tabular results, 
By =1".5, €g =— 259, Ky R; = .0265 ft., Ry = .0054, ag —= — 45° 
Bj —=3™, ég== 240, Ky Ry = .1196 ft., Ry = .0240, ag —= — 21° 
As has been stated, the values of 72 in Table III belong to a time two lunar days after transit C, 
and hence the values of the argument 7, are too great for the assumed transit ©, by the change of 
72 in that time. For the same the values of argument 7 are too small by that amount. The pre- 
ceding values of the epochs have been reduced to transit C by subtracting 279.1 in the former 
case, and adding the same amount in the latter case. 
In the same manner the constants might be found for the terms depending upon the arguments 
m+73 and y;—73, OF 72+73 and 72—73, but the effects depending upon these arguments must be still 
smaller than those depending upon 7 and 7. This one case will serve to show that these effects 
are of very little importance. 
(79) 
DIURNAL TIDE. 
34. It has been found that the terms depending upon A; are insensible, and hence with the 
twenty-four values of (H,—H;) and (H,—H,) in Table V, (52) gives twenty-four sets of equations 
for determining the twenty-four values of A; and 4, belonging to the twenty-four values of g. With 
these values of A, and the corresponding values of ¢ in the table, (53) then gives twenty-four equa- 
tions of condition for determining, by the method of least squares, the values of M and N, with 
which we then obtain, by (54), 
(80) K, =— 0.58 ft., a==—19°.7 
for the coefficient of the diurnal tide and the value of the angle at the epoch. 
From (28) we get, using the value «f By in (56), 
fe) 
(81) t= 22,03 — —___—04,504 
for the age of the diurnal tide, 13°.18 being the daily motion of the moon in longitude. 
