On the Tides of the Western Coast of the United States. 7 
and 66 given by the diagram, differing but 8 and 5 minutes, 
respectively, and having the same ratio to each other as the lat- . 
ter numbers. The mode of interference thus explains satisfacto~ 
rily the curious relations of the inequality of both time and 
height of high and low water. op 
TABLE No. 3. 
Analysis of curve of observation for January 21,1852. Rincon Point. 
Ordinates, curve |Ordinates, diurnal Ordinates, residu- cae lla Dierances 
of observations, curve of sines. al curve. knicil: - 
Feet. Feet. Feet Feet. Feet. 
— 0°23 - 0°28 +0°05 0-00 +005 
— 1°63 — 0°83 — 0°80 -—110 30 
— 2:98 -— 1°33 — 1°65 -— 1°82 LT 
— 3:63 — 1°72 -191 -227 36 
- 403 — 2:00 — 203 — 2:20 17 
- 3°68 — 2:16 ~ 1:52 -1°70 18 
— 2°18 — 216 - 057 -0°70 13 
— 148 — 2:00 "52 +0°70 -018 
— 0:23 — 1-72 1:49 +1°65 - 016 
+077 1:38 915 +2°20 - 0:05 
14 -— 0°83 2°30 +230 “00 
1°72 ~— 0:28 00 +1°90 10 
$52 +028 1°24 +160 - 0°36 
fb 83 —" 0°00 -00 
17 1:33 -116 — 1:30 +0 14 
= rae 172 — 2°05 — 2-05 
= 928 2:00 — 2°28 — 2°28 00 
+ 07 2:16 —209 215 06 
2°16 —1:29 50 91 
187 2°00 -—0°13 — 0°20 O07 
2°12 1°72 -++1:00 +1:20 —20 
3:32 1°33 1:99 +1 97 2 
3°27 83 2°44 "12 
2°62 28 2°34 2°20 14 
Taking the values of the maximum ordinate of the diurnal 
curve (D) as deduced by Mr. Heaton, tracing a curve for them 
and folding this over on its greatest ordinate, as a hinge, we bring 
five values of D to the determination of each point in the curve 
from the observations of 1852. Treating the curve of twice the 
Sine of the moon’s declination in the same way we obtain a 
Curve for comparison with the former. Neglecting the sun’s ac- 
tion, we have from theory m sin. 25’=D. Taking the mean of the 
Values of D, which nearly correspond to each other in the half 
declination, and the mean of the corresponding values of the sine 
of twice the declination, we obtain m=29 nearly. 
The following table, No. 4, gives a comparison of the values of 
the semi-djurnal ordinates, and of m sin. 20’. _ 
T have also deduced the diurnal inequality, from Mr. Heaton’s 
compound or interference curves, and have compared it in the same 
m=28. The last column of Table No. 4 refers to this com- 
aoe m sin. 20’, The value of m found from ate, was 
ff 
