1particular accidents in this admirable matter, and all depending
on this ſole Propoſition, the ſenſe of which I have oft repeated,
that it might be well underſtood.
on this ſole Propoſition, the ſenſe of which I have oft repeated,
that it might be well underſtood.
COROLLARIE I.
And firſt, we hence conclude, that the ſame Streams of a
Torrent, namely, thoſe ſtreams which carry equal quantity of
Water in equal times, make not the ſame depths or meaſures in
the River, in which they enter, unleſſe when in the entrance in
to the River they acquire; or to ſay better, keep the ſame velo
city; becauſe if the velocicities acquired in the River ſhall be
different, alſo the meaſures ſhall be diverſe; and conſequently
the depths, as is demonſtrated.
Torrent, namely, thoſe ſtreams which carry equal quantity of
Water in equal times, make not the ſame depths or meaſures in
the River, in which they enter, unleſſe when in the entrance in
to the River they acquire; or to ſay better, keep the ſame velo
city; becauſe if the velocicities acquired in the River ſhall be
different, alſo the meaſures ſhall be diverſe; and conſequently
the depths, as is demonſtrated.
COROLLARIE II.
And becauſe ſucceſſively, as the River is more and more full,
it is conſtituted ordinarily in greater & greater velocity: hence
it is that the ſame ſtreams of the Torrent, that enter into the Ri
ver, make leſſe and leſſe depths, as the River grows more and
more full; ſince that alſo the Waters of the Torrent being en
tered into the River, go acquiring greater and greater velocities,
and therefore diminiſh in meaſure and height.
it is conſtituted ordinarily in greater & greater velocity: hence
it is that the ſame ſtreams of the Torrent, that enter into the Ri
ver, make leſſe and leſſe depths, as the River grows more and
more full; ſince that alſo the Waters of the Torrent being en
tered into the River, go acquiring greater and greater velocities,
and therefore diminiſh in meaſure and height.
COROLLARIE III.
We obſerve alſo, that while the main River is ſhallow, if there
fall but a gentle rain, it ſuddenly much increaſeth and riſeth;
but when the River is already ſwelled, though there fall again a
nother new violent ſhower, yet it increaſeth not at the ſame rate
as before, proportionably to the rain which fell: which thing
we may affirm particularly to depend on this, that in the firſt
caſe, while the River is low, it is found alſo very ſlow, and there
fore the little water which entereth into it, paſſeth and runs with
little velocity, and conſequently occupieth a great meaſure:
But when the River is once augmented, by new water being alſo
made more ſwift, it cauſeth the great Flood of water which fal
leth, to bear a leſſe meaſure, and not to make ſuch a depth.
fall but a gentle rain, it ſuddenly much increaſeth and riſeth;
but when the River is already ſwelled, though there fall again a
nother new violent ſhower, yet it increaſeth not at the ſame rate
as before, proportionably to the rain which fell: which thing
we may affirm particularly to depend on this, that in the firſt
caſe, while the River is low, it is found alſo very ſlow, and there
fore the little water which entereth into it, paſſeth and runs with
little velocity, and conſequently occupieth a great meaſure:
But when the River is once augmented, by new water being alſo
made more ſwift, it cauſeth the great Flood of water which fal
leth, to bear a leſſe meaſure, and not to make ſuch a depth.
COROLLARIE IV.
From the things demonſtrated is manifeſt alſo, that whilſt a
Torrent entereth into a River, at the time of Ebbe, then the
Torrent moveth with ſuch a certain velocity, what ever it be,
Torrent entereth into a River, at the time of Ebbe, then the
Torrent moveth with ſuch a certain velocity, what ever it be,