Fabri, Honoré
,
Dialogi physici in quibus de motu terrae disputatur
,
1665
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 - 248
>
Scan
Original
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 248
>
page
|<
<
of 248
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.001589
">
<
pb
pagenum
="
140
"
xlink:href
="
025/01/144.jpg
"/>
infinitam habet rationem; igitur & reſiſtentia illius ad reſiſtentiam hujus. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001590
">
<
emph
type
="
italics
"/>
Anguſtin.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.001591
"> Hoc certè callent ij, qui aquæ ex publicis fontibus diſtri
<
lb
/>
buendæ præſunt, nempe æquales longitudine fiſtulas omnibus aquædu
<
lb
/>
ctibus apponunt, ſive tubi majores ſint, ſive minores; vt ſcilicet æqualis ſit
<
lb
/>
ratio impedimenti quod ex longitudine fiſtulæ ducitur, ac proinde extruſæ
<
lb
/>
aquæ quantitates ſint vt tubi, ſeu tuborum baſes. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001592
">
<
emph
type
="
italics
"/>
Antim.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.001593
"> In hoc etiam errant, Auguſtine, quod vt liquidò demonſtrem,
<
lb
/>
ſupponantur duæ fiſtulæ æqualis longitudinis GH, ſed baſis inæqualis,
<
lb
/>
ſitque exempli gratia Diameter baſis minoris vnius digiti, & Diameter
<
lb
/>
majoris, duorum digitorum, cùm æquali longitudine fiſtularum & al
<
lb
/>
titudine fontis BA, haud dubiè vires erunt, vt baſes, ac proinde ſi
<
lb
/>
præcisè vis ponderis gravitantis, & aquam extrudentis conſideretur,
<
lb
/>
eadem eſt vtrimque ratio; nempe mobilia ſunt vt baſes, baſes vt vires;
<
lb
/>
igitur æquales vtrimque motus; quia vires vt 4. æquè facilè movebunt
<
lb
/>
pondus vt 4. ac vires vt vnum pondus vt vnum. </
s
>
<
s
id
="
s.001594
">Igitur ſtando præci
<
lb
/>
sè in ipſa vi ponderis extrudentis, quo tempore, per majorem fiſtu
<
lb
/>
lam ex appellatis, fluunt 4. libræ aquæ, vna tantùm libra per minorem
<
lb
/>
effluet; ſed hoc perſpicuis experimentis repugnat; nec demonſtratio deeſt;
<
lb
/>
nempe vt eadem proportio maneret, impedimenta ex cava ſuperficie fiſtu
<
lb
/>
læ petita deberent eſſe proportionalia; igitur cùm hæc impedimenta ſint,
<
lb
/>
vt ſuperficies cavæ, ſuperficies cava majoris fiſtulæ deberet eſſe quadrupla
<
lb
/>
ſuperficiei cavæ minoris, cùm tamen ſit tantùm dupla; ſunt enim illæ vt Peri
<
lb
/>
pheriæ circulorum, & hæ vt Diametri: igitur cùm major ſit ratio impe
<
lb
/>
dimenti in minore fiſtula, quàm in majore, quid mirum, ſi aquæ quantitas
<
lb
/>
extruſæ per majorem, ſit pluſquam quadrupla extruſæ per minorem? </
s
>
<
s
id
="
s.001595
">eſſet
<
lb
/>
autem prorſus & accuratè quadrupla, ſi major fiſtula longitudine dupla
<
lb
/>
minoris ſit. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001596
">
<
emph
type
="
italics
"/>
Auguſtin.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.001597
"> Bellè omninò, vt hæc mihi nova, ita graviſſima prorſus acci
<
lb
/>
dunt. </
s
>
<
s
id
="
s.001598
">Sed quid ſi aliquis æqualem in fiſtulis longitudinem ſervare velit,
<
lb
/>
cupiat tamen apponere fiſtulam majorem, per quam extrudatur, aſſumpta
<
lb
/>
eadem fontis altitudine, quadrupla quantitas aquæ, quanta baſis fiſtulæ aſſi
<
lb
/>
gnanda erit? </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001599
">
<
emph
type
="
italics
"/>
Antim.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.001600
"> Hoc etiam facilè haberi poteſt: ſi enim major fiſtula longi
<
lb
/>
tudine dupla & baſi quadrupla extrudit præcisè quantitatem aquæ qua
<
lb
/>
druplam, ſit baſis majoris 16. minoris 4. ac proinde Diameter minoris 2.
<
lb
/>
majoris 4. erit baſis 16. ad ſuperficiem cavam majoris fiſtulæ, vt ba
<
lb
/>
ſis 4. ad cavam minoris; igitur vires majoris ad impedimentum fiſtulæ
<
lb
/>
majoris, vt vires minoris ad impedimentum ejuſdem; ſit minoris impe
<
lb
/>
dimentum vt vnum, erit majoris impedimentum vt 4. & ſi impedimen
<
lb
/>
tum vt 1. ſubducit vnam partem aquæ, vel motus ex 4. impedimen
<
lb
/>
tum vt 4. ſubducit partes 4. ex 16. vnde reſidua erunt in eadem pro
<
lb
/>
portione, ſcilicet vt 3. ad 12. jam verò ſi longitudo dupla ma
<
lb
/>
joris fiſtulæ ſubducit 4. partes, longitudo ſubdupla ſubducet tantùm
<
lb
/>
2. igitur ſi major fiſtula æqualis longitudine aſſumatur extrudet 14.
<
lb
/>
partes ſeu libras aquæ. </
s
>
<
s
id
="
s.001601
">Vt autem inveniatur baſis fiſtulæ, ejuſdem cum </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>