particular accidents in this admirable matter, and all depending <lb/>
on this &longs;ole Propo&longs;ition, the &longs;en&longs;e of which I have oft repeated, <lb/>
that it might be well under&longs;tood.</s>

 <s><emph type="italics"/>COROLLARIE<emph.end type="italics"/> I.</s>

 <s>And fir&longs;t, we hence conclude, that the &longs;ame Streams of a <lb/>
Torrent, namely, tho&longs;e &longs;treams which carry equal quantity of <lb/>
Water in equal times, make not the &longs;ame depths or mea&longs;ures in <lb/>
the River, in which they enter, unle&longs;&longs;e when in the entrance in<lb/>
to the River they acquire; or to &longs;ay better, keep the &longs;ame velo<lb/>
city; becau&longs;e if the velocicities acquired in the River &longs;hall be <lb/>
different, al&longs;o the mea&longs;ures &longs;hall be diver&longs;e; and con&longs;equently <lb/>
the depths, as is demon&longs;trated.</s>

 <s><emph type="italics"/>COROLLARIE<emph.end type="italics"/> II.</s>

 <s>And becau&longs;e &longs;ucce&longs;&longs;ively, as the River is more and more full, <lb/>
it is con&longs;tituted ordinarily in greater & greater velocity: hence <lb/>
it is that the &longs;ame &longs;treams of the Torrent, that enter into the Ri<lb/>
ver, make le&longs;&longs;e and le&longs;&longs;e depths, as the River grows more and <lb/>
more full; &longs;ince that al&longs;o the Waters of the Torrent being en<lb/>
tered into the River, go acquiring greater and greater velocities, <lb/>
and therefore dimini&longs;h in mea&longs;ure and height.</s>

 <s><emph type="italics"/>COROLLARIE<emph.end type="italics"/> III.</s>

 <s>We ob&longs;erve al&longs;o, that while the main River is &longs;hallow, if there <lb/>
fall but a gentle rain, it &longs;uddenly much increa&longs;eth and ri&longs;eth; <lb/>
but when the River is already &longs;welled, though there fall again a<lb/>
nother new violent &longs;hower, yet it increa&longs;eth not at the &longs;ame rate <lb/>
as before, proportionably to the rain which fell: which thing <lb/>
we may affirm particularly to depend on this, that in the fir&longs;t <lb/>
ca&longs;e, while the River is low, it is found al&longs;o very &longs;low, and there<lb/>
fore the little water which entereth into it, pa&longs;&longs;eth and runs with <lb/>
little velocity, and con&longs;equently occupieth a great mea&longs;ure: <lb/>
But when the River is once augmented, by new water being al&longs;o <lb/>
made more &longs;wift, it cau&longs;eth the great Flood of water which fal<lb/>
leth, to bear a le&longs;&longs;e mea&longs;ure, and not to make &longs;uch a depth.</s>

 <s><emph type="italics"/>COROLLARIE<emph.end type="italics"/> IV.</s>

 <s>From the things demon&longs;trated is manife&longs;t al&longs;o, that whil&longs;t a <lb/>
Torrent entereth into a River, at the time of Ebbe, then the <lb/>
Torrent moveth with &longs;uch a certain velocity, what ever it be,