( 7*5 ) 
Three Years after Cafiellus*s Book came ouri this 
Miftake was correded by the famous Torrkdlius, who 
was the firft that maintain’d, that the Velocity of the 
Water running out was in a fubduplicate Ratio of the 
Depth, but gave no Demonftration of it. 
This Propofition, fays our Author, .was confirm’d by 
the Experiments of Maggiotti, Mariotu^ and GugUdmini, 
and has fince been demonflrated by Mr. Varignoriy by 
Herman in his Phoronomia, and John Bernoutti, as re- 
ported by Herman in the Ada Lifftenfia. 
Here it may not be improper to take notice^ chat 
the Demonftrations of thofe three Learned Perfons are 
all grounded upon this Suppofition, that the Water 
running out from the Hole is preft upon by the Co- 
lumn of Water incumbent upon it, which may eafily . 
be demonflrated to be a Miftake. Likewife, if their 
Demonflracions be juft, it will follow, that the ftrft 
Drops of Water, which iflue out from the Hole, muft 
run with the fame Velocity, as after the Water has 
been running Tome time; the Contrary of which ap- 
pears to be true in Fad by the Experiments of the fa- 
mous Mr. Mariotte. 
The Author might have found a jufter Account of ^ 
this matter in the Writings of a Great Man, whom he - 
cites on another Occafion; the fccond Edition of whofe 
Book was come out fome time before Herman pub- 
lifh’d either of thofe Demonft rations, and had been feeu . 
by him, as appears by his quoting it frequently, and 
mentioning the Difference in this very Particular be- - 
tween the firft and fecond Edition. 
Our Author goes on to confider the fimple Motion 
of Water running out by a Sedion perpendicular to the 
Horizon, in the fide of a Receptacle, which is always 
entertain’d at the fame Height. He (hews, that the 
Velocities, with which the Water iflues out at different 
Depths, 
