Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 579
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.002473
">
<
pb
pagenum
="
469
"
xlink:href
="
010/01/477.jpg
"/>
<
arrow.to.target
n
="
marg639
"/>
<
lb
/>
aqua ſuperna deorsùm feratur oportet, vt per angu
<
lb
/>
ſtias collaterales excurrat, & eodem tempore quo
<
lb
/>
aqua AGHD è ſupremo loco expellitur occupabit
<
lb
/>
collaterale ſpatium cylindricum excauatum AKOP
<
lb
/>
LD, cumque prædictus tubus aqueus æqualis ſit præ
<
lb
/>
dicto cylindro aqueo AGHD, oportet vt eorum ba
<
lb
/>
ſes reciprocè altitudinibus proportionales ſint;
<
lb
/>
quam ergo proportionem habet baſis tubiaquei KL
<
lb
/>
DA ad baſim AD cylindri aquei AH, eamdem habe
<
lb
/>
bit huius altitudo AG ad illius altitudinem KO, ſci
<
lb
/>
licèt eamdem proportionem habebit aſcenſus, ſeu
<
lb
/>
velocitas cylindri lignei AC ad fluxum quo deorsùm
<
lb
/>
deſcendit aqua in ſiphone tubico. </
s
>
<
s
id
="
s.002474
">Patet ergo, quod
<
lb
/>
anguſtia vaſis talis eſſe poteſt vt velocitas fluxus a
<
lb
/>
quæ deorsùm centies, & millies maior ſit celeritatę
<
lb
/>
qua cylinder ſolidus
<
expan
abbr
="
aſcẽdit
">aſcendit</
expan
>
. </
s
>
<
s
id
="
s.002475
">Ex quo proindè ſequi
<
lb
/>
tur, quod ſi velocitas fluxus aquæ deorsùm determi
<
lb
/>
natur ab altitudine ſiphonis AB, ſcilicèt ſi prædictą
<
lb
/>
velocitas eſt vnius, & determinati gradus, vt
<
expan
abbr
="
consẽ-taneum
">consen
<
lb
/>
taneum</
expan
>
eſt, oportet vt tanto tardiori motu ligneus
<
lb
/>
cylindrus in aqua aſcendat, & hoc bellè ab ipſa ex
<
lb
/>
<
arrow.to.target
n
="
marg640
"/>
<
lb
/>
perientia confirmatur. </
s
>
<
s
id
="
s.002476
">Sed præterea videtur quoque
<
lb
/>
ab alia cauſa velocitatem ligni aſcendentis retardari
<
lb
/>
debere, nempè ab aſperitatibus internæ ſuperficiei
<
lb
/>
vaſis, quatenùs aquæ particulæ non omninò glutine
<
lb
/>
priuatæ, vt dictum eſt, non facilè per prædictas angu
<
lb
/>
ſtias, & aſperitates fluere poſſunt, & proindè multò
<
lb
/>
magis ligni aſcenſum retardare valent. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002477
">
<
margin.target
id
="
marg639
"/>
Cap. 11. gra
<
lb
/>
uia in fluido
<
lb
/>
velocitati
<
lb
/>
bus inæqua
<
lb
/>
libus ferri
<
lb
/>
debere.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002478
">
<
margin.target
id
="
marg640
"/>
Internę fiſtu
<
lb
/>
læ aſperita
<
lb
/>
tes motum̨,
<
lb
/>
cylindri re
<
lb
/>
tardare poſ
<
lb
/>
ſunt.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002479
">His præmiſſis inquirendæ modò ſunt velocitates </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>