On the Tides of the Western Coast of the United States. 13 
with a free hand among them. The results for the three places 
are distinguished as marked on the diagram. ‘The following are 
the inferences from the discussion : 
1. In every case, the inequalities increase and decrease with 
the moon’s declination, reaching zero at or near the time of the 
moon’s crossing the equator. The average epoch of the ine- 
qualities agrees almost exactly with the time of the zero of de- 
clination. 
2. The inequality in height of high water, and in interval of 
low water, increase and decrease together, and so for the ine- 
quality in time of high water and in height of low water, as 
was remarked in the case of San Francisco. 
3. The declination of the moon, and the inequality in interval 
of high water and in height of low water, have contrary signs 
at all three of the places: the reverse being true of the other 
two inequalities. 
€ inequality in the height of low water is, in general, 
_ greater than that of high water, as was before stated for San 
Francisco. The proportion of the average and maximum ine- 
qualities is nearly as follows: 
Average Maximum 
Places. | Giiguniity. | inequality. | 
San Francisco, - - - - - - - 18 to 1 1-9 to 1 
2 ee 15 tol 12 tol 
 nvhee 1:8 tol 15 tol 
5. The inequality in the interval of high water is, in general 
greater than that of low water, as follows: 
Places. : | ee oo ae 
San Francisco, os 9, * oe os tol 18 tol 
8 ideo, aS ee ie ee 14 tol 13.40 1 
ALONG Lk) ae ey 1:3 to 1 1:5 to 1 
6. The average and greatest inequalities in interval and height 
are shown in the following table: 
EA a meg et ce et aN 
Average inequality. Greatest inequality. i 
Places, ime. | Height. Time. ___ Height. 
ee | TLL Ww | BW. | LW, EES 
eet. eet. | h. m. | h. m. eet. eet. 
San Francisco, - - - | 121 | 047 | 136 | 236] 217 | 117 | 201 375 | 
San Diego, - - - - {195 {102 | 128 | 197| 310 | 297 | 268 |,3:09 
Astoria, - - - - - | 050 {046 | 1-23 | 217] 200 | 121 | 254 | 885 
7. The comparison of the values of the diurnal inequality in 
height with the theoretical expression m sin 24 is given in the 
Snnexed table and diagram, in which the valne of m is taken 
at 2°35. "The inequality results are grouped by the declinations. — 
