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
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
<
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
>
<
pb
xlink:href
="
040/01/606.jpg
"
pagenum
="
37
"/>
<
p
type
="
head
">
<
s
>PROPOSITION I.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
The Sections of the ſame River diſcharge equal quan
<
lb
/>
tities of Water in equal times, although the Secti
<
lb
/>
ons themſelves he unequal.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Let the two Sections be A and B, in the River C, running
<
lb
/>
from A, towards B; I ſay, that they diſcharge equal quan
<
lb
/>
tity of Water in equal times; for if greater quantity of Wa
<
lb
/>
ter ſhould paſs through A, than paſſeth through B, it would
<
lb
/>
<
figure
id
="
id.040.01.606.1.jpg
"
xlink:href
="
040/01/606/1.jpg
"
number
="
39
"/>
<
lb
/>
follow that the Water in the intermediate ſpace of the River C,
<
lb
/>
would increaſe continually, which is manifeſtly falſe, but if
<
lb
/>
more Water ſhould iſſue through the Section B, than entreth at
<
lb
/>
the Section A, the Water in the intermediate ſpace C, would
<
lb
/>
grow continually leſs, and alwaies ebb, which is likewiſe falſe;
<
lb
/>
therefore the quantity of Water that paſſeth through the Secti
<
lb
/>
on B, is equal to the quantity of Water which paſſeth through
<
lb
/>
the Section A, and therefore the Sections of the ſame River diſ
<
lb
/>
charge,
<
emph
type
="
italics
"/>
&c.
<
emph.end
type
="
italics
"/>
Which w s to be demonſtrated.</
s
>
</
p
>
<
p
type
="
head
">
<
s
>PROPOSITION II.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
In two Sections of Rivers, the quantity of the Water
<
lb
/>
which paſſeth by one Section, is to that which paſ
<
lb
/>
ſeth by the ſecond, in a Proportion compounded of
<
lb
/>
the proportions of the firſt Section to the ſecond, and
<
lb
/>
of the velocitie through the first, to the velocitie
<
lb
/>
of the ſecond.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>I Et A, and B be two Sections of a River; I ſay, that the
<
lb
/>
quantity of Water which paſſeth through A, is to that which
<
lb
/>
paſſeth through B, in a proportion compounded of the pro
<
lb
/>
portions of the firſt Section A, to the Section B; and of the velo
<
lb
/>
city through A, to the velocity through B: Let a Section be </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>