430 SEVENTH REPORT—1837. 
by the initial velocity given to the fluid at its generation by 
the moving body. The velocity of genesis, or of the vessel by 
whose displacement the elevation of fluid was produced, is 
given in miles per hour, and the time occupied by the wave in 
describing 700 feet is given in seconds. 
Space described by ty terval of time. 
Velocity of genesis. the wave. 
(1.) 5 miles an hour 700 feet 62° seconds 
(2) 8 700 — 1 
(B's: 1oRee 700 =) qT ee 
(4;) ee 700 — 62.0 uk 
(5. \\G ho hese 700 — 622 = 
(6.) 4 700 — 615 — 
From this it is manifest that the velocity of the propagation 
of the wave does not vary with the velocity of its genesis. 
To determine whether the height of the wave produced any 
variation in its velocity, the following experiments were made: 
ee oe Space described. Interval. 
(7.) 6°0 inches 700 feet 61°50 seconds 
CRS ee BO Sees hts PTI ee 
(9.) 35 — joo — 62°50 — 
(10.) 20 — 700109? -G8:50'th sen 
It appears from these examples that, in a given reservoir of 
fluid, the higher wave moves more rapidly than the lower; and 
it was afterwards found that the increase of height was equiva- 
lent in its effect on the velocity to an equal addition to the 
depth of fluid in the reservoir. 
To determine whether the depth of the fluid affected the ve- 
locity of the wave, the following experiments were made in the 
same channel filled to different depths : 
Depth of fluid. Space described. Velocity of wave. 
(11.) 5°6 feet 486: feet 9°594 miles an hour 
(12.) 3:4 — 150° — 7'086 
The former of these observations is exclusive of the height of 
the wave, and adding six inches to the depth of the fluid in this 
case, the height of the wave being already added to the depth 
in (12.), we find that the velocities are nearly proportional to 
the square roots of the depths, and are nearly equal to the velo- 
cities that would be acquired by a heavy body in falling through 
heights ¢qual to half the depth of the fluid. 
In the last case the channel was rectangular, and conse- 
