Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 690
691 - 701
>
Scan
Original
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 690
691 - 701
>
page
|<
<
of 701
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
040/01/575.jpg
"
pagenum
="
6
"/>
particular accidents in this admirable matter, and all depending
<
lb
/>
on this ſole Propoſition, the ſenſe of which I have oft repeated,
<
lb
/>
that it might be well underſtood.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIE
<
emph.end
type
="
italics
"/>
I.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>And firſt, we hence conclude, that the ſame Streams of a
<
lb
/>
Torrent, namely, thoſe ſtreams which carry equal quantity of
<
lb
/>
Water in equal times, make not the ſame depths or meaſures in
<
lb
/>
the River, in which they enter, unleſſe when in the entrance in
<
lb
/>
to the River they acquire; or to ſay better, keep the ſame velo
<
lb
/>
city; becauſe if the velocicities acquired in the River ſhall be
<
lb
/>
different, alſo the meaſures ſhall be diverſe; and conſequently
<
lb
/>
the depths, as is demonſtrated.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIE
<
emph.end
type
="
italics
"/>
II.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>And becauſe ſucceſſively, as the River is more and more full,
<
lb
/>
it is conſtituted ordinarily in greater & greater velocity: hence
<
lb
/>
it is that the ſame ſtreams of the Torrent, that enter into the Ri
<
lb
/>
ver, make leſſe and leſſe depths, as the River grows more and
<
lb
/>
more full; ſince that alſo the Waters of the Torrent being en
<
lb
/>
tered into the River, go acquiring greater and greater velocities,
<
lb
/>
and therefore diminiſh in meaſure and height.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIE
<
emph.end
type
="
italics
"/>
III.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>We obſerve alſo, that while the main River is ſhallow, if there
<
lb
/>
fall but a gentle rain, it ſuddenly much increaſeth and riſeth;
<
lb
/>
but when the River is already ſwelled, though there fall again a
<
lb
/>
nother new violent ſhower, yet it increaſeth not at the ſame rate
<
lb
/>
as before, proportionably to the rain which fell: which thing
<
lb
/>
we may affirm particularly to depend on this, that in the firſt
<
lb
/>
caſe, while the River is low, it is found alſo very ſlow, and there
<
lb
/>
fore the little water which entereth into it, paſſeth and runs with
<
lb
/>
little velocity, and conſequently occupieth a great meaſure:
<
lb
/>
But when the River is once augmented, by new water being alſo
<
lb
/>
made more ſwift, it cauſeth the great Flood of water which fal
<
lb
/>
leth, to bear a leſſe meaſure, and not to make ſuch a depth.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
COROLLARIE
<
emph.end
type
="
italics
"/>
IV.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>From the things demonſtrated is manifeſt alſo, that whilſt a
<
lb
/>
Torrent entereth into a River, at the time of Ebbe, then the
<
lb
/>
Torrent moveth with ſuch a certain velocity, what ever it be, </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>