( 34 ? ) 
III. ^marks upon Jome ^Experiments in Hydraulics, 
iphich feem to proVe^ that the Forces of equal 
moVmg [Bodies are as the Squares of their Veloci^ 
ties, [By Mr. John Eames, F. R, S. 
T H E Refult and Subfiance of thefe Experiments 
is, That the Velocities of any Fluid, for Inflance 
Water, ilTuing out at equal Orifices made in the Sides 
of Tubes, or VefTels filled up to different Heights, and 
kept full at thofe Heights, above the Orifices, are found 
to be as the fquare Roots of thofe Heights refpedively. 
Thus, when the different Heights above the Orifices 
are as the Numbers i, 4, 9, 16, the Velocities of 
the Particles of Water, ifluing out, are found to be as 
the Numbers I, x, 3, 4, 
The Argument drawn from thefe Experiments, in 
Favour of the Opinion, that the Forces of equal Malfes, 
or moving Bodies, are proportional to the Squares of their 
Velocities, runs thus. All the Particles of Water, being 
of the fame Nature, and uniform, every fingle Particle 
iffuing out with Two Degrees of Velocity, mufl move with 
4 Times the Force of any other fingle Particle, that 
moves but with One Degree of Velocity ^ becaufe the 
Force with which it moves, is the Effedl of a Caufe 
4 Times greater ^ namely, the Preffureof a Column of 
Water, whofe Height is 4 Times greater. 
Thus, again, a Particle of Water running out, with 
3 Degrees of Velocity, mufl move with 9 Times the 
Force of a Particle moving with but i Degree of Velo- 
city 5 becaufe that Force is the Effed of a Caufe 9 Times 
greater, thePreffure of a Column 9 Times higher: 
Z z Since 
