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
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
<
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
="
040/01/623.jpg
"
pagenum
="
57
"/>
Regulator 6. of thoſe parts high; of which it ran before but 5. let
<
lb
/>
6 be found in the row of heights, and let the number 11. ſtand
<
lb
/>
ing under the ſame be taken and added to the number 25.
<
lb
/>
that is placed under the number 9. in the Additions, and 5. in
<
lb
/>
the heights, and you ſhall have 36; which is the quantity of the
<
lb
/>
water that runneth with the height of the River, when it is high
<
lb
/>
6 of thoſe parts, whereof it was before but 5.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>3. But if it ſhould be deſired, to know how much water it is
<
lb
/>
requiſite to add to make the River riſe ſo, as that it may run in
<
lb
/>
height 8. of thoſe parts of which before it ran but 5; one
<
lb
/>
ought to take the ſum of the number of the Series of Additions
<
lb
/>
ſtanding under 8. 7. and 6, which are 15. 13. and 11. that is, 39.
<
lb
/>
and this ſhall be the ſumme that muſt be added to 25: So that
<
lb
/>
to make the River to run 8. of thoſe parts in height, of which it
<
lb
/>
before did run 5, it will be neceſſary to add 39. of thoſe parts,
<
lb
/>
of which the River before was 25.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>4. Likewiſe the ſame Table giveth the quantity of water
<
lb
/>
that runneth from time to time through a River, that increaſeth
<
lb
/>
by the addition of new water to the ſame in one of its heights, the
<
lb
/>
quantity of its water be known. </
s
>
<
s
>As for example: If we knew that
<
lb
/>
the River in one minute of an hour diſchargeth 2500. of thoſe mea
<
lb
/>
ſures of water, and runneth in height 5. parts in the Regulator, and
<
lb
/>
afterwards ſhould ſee that it runneth 8 Palms high, finding in the
<
lb
/>
row of quantity the number placed under 8. which is 64. we would
<
lb
/>
ſay that the River heightned, carrieth of water 64. of thoſe parts
<
lb
/>
whereof it carried before but 25; and becauſe before it carried
<
lb
/>
2500. meaſures, by the Golden Rule we will ſay, that the River
<
lb
/>
carrieth 6400. of thoſe meaſures, of which before it carried 2500.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>In this progreſs of Nature, is one thing really curious, and that
<
lb
/>
at firſt ſight ſeemeth to be ſomewhat Paradoxal, that we pro
<
lb
/>
ceeding ordinately in the diverſions and additions, with additi
<
lb
/>
ons and diverſions ſo unequal, the abatings do notwithſtanding
<
lb
/>
alwaies prove equal, and ſo do the riſings: And who would ever
<
lb
/>
think that a River in height,
<
emph
type
="
italics
"/>
v. </
s
>
<
s
>g.
<
emph.end
type
="
italics
"/>
10. Palms, running and carry
<
lb
/>
ing an hundred meaſures in a minute of an hour, is to abate but
<
lb
/>
one Palm, onely by the diverſion of 19. of thoſe meaſures; and
<
lb
/>
then again, that the buiſineſs cometh to that paſs, that it abateth
<
lb
/>
likewiſe a Palm by the diverſion of three onely of thoſe meaſures,
<
lb
/>
nay, by the diverſion of but one meaſure? </
s
>
<
s
>and yet it is moſt
<
lb
/>
certain: And this truth meets with ſo manifeſt proofs in experi
<
lb
/>
ence, that it is very admirable! And for the full ſatisfaction of
<
lb
/>
thoſe, who not being able to comprehend ſubtil demonſtrati
<
lb
/>
ons, desire to be clearly inform'd by the matters of fact, and to
<
lb
/>
ſee with their bobily eyes, and touch with their hands, what their
<
lb
/>
underſtanding and reaſon cannot reach unto: I will hear add
<
lb
/>
another very eaſie way to reduce all to an experiment, the </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>