Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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 - 579
>
Scan
Original
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
<
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 - 579
>
page
|<
<
of 579
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.002559
">
<
pb
pagenum
="
485
"
xlink:href
="
010/01/493.jpg
"/>
<
arrow.to.target
n
="
marg667
"/>
<
lb
/>
tempore V percurrat ſpatium Z, & fiat IB medią
<
lb
/>
proportionalis inter altitudines AB, & DE. dico
<
expan
abbr
="
tẽ-pus
">tem
<
lb
/>
pus</
expan
>
T minus eſſe
<
expan
abbr
="
tẽpore
">tempore</
expan
>
V, ſed
<
expan
abbr
="
tẽpus
">tempus</
expan
>
V ad T
<
expan
abbr
="
minorẽ
">minorem</
expan
>
<
lb
/>
<
expan
abbr
="
proportionẽ
">proportionem</
expan
>
habere,
<
expan
abbr
="
quã
">quam</
expan
>
IB habet ad DE; fiat vel in
<
lb
/>
telligatur figura GBC æquè alta, ac eſt DEF
<
expan
abbr
="
eiuſdẽ-que
">eiuſdem
<
lb
/>
que</
expan
>
materiei habens
<
expan
abbr
="
eãdẽ
">eandem</
expan
>
baſim BC, hac lege vt mo
<
lb
/>
les ABC ad GBC eamdem
<
expan
abbr
="
proportionẽ
">proportionem</
expan
>
habeat, quam
<
lb
/>
altitudo AB ad GB, ſitque Y tempus, quo GBC ſur
<
lb
/>
ſum infra aquam aſcendendo percurrit idem ſpatium
<
lb
/>
X. quoniam ſunt duo folida homogenea ABC, & GB
<
lb
/>
C eamdem baſim BC habentia, quorum moles eam
<
lb
/>
dem proportionem habent, quam altitudo AB ad G
<
lb
/>
B, ſeù ad DE, & ſimiliter poſita ſunt dum aſcendunt
<
lb
/>
<
arrow.to.target
n
="
marg668
"/>
<
lb
/>
per ſpatia æqualia X, X; igitur tempus T, quo ABC
<
lb
/>
pertranſit ſpatium X ad tempus Y, quo GBC idipſum
<
lb
/>
ſpatium percurrit, eamdem proportionem habet,
<
expan
abbr
="
quã
">quam</
expan
>
<
lb
/>
DE ad IB. poſtea quia ſunt duo alia ſolida homogenea
<
lb
/>
æquè alta GBC, & DEF quorum baſes planæ BC, &
<
lb
/>
EF eamdem proportionem habent, quam moles eo
<
lb
/>
rum, ergo tempora Y, & V, quibus in eodem fluido
<
lb
/>
<
arrow.to.target
n
="
marg669
"/>
<
lb
/>
aqueo aſcendendo percurrunt ſpatia æqualia X, & Z
<
lb
/>
parùm inter ſe differunt, eritque tempus V minus
<
expan
abbr
="
quã
">quam</
expan
>
<
lb
/>
Y, ſed maiorem proportionem ad ipſum habet, quàm
<
lb
/>
DE ad IB, ac proindè tempus V maius erit, quàm T,
<
lb
/>
& ideò celeriùs aſcendet ABC, quàm DEF, ſed iņ
<
lb
/>
minori proportione, quam habet IB ad DE, idemque
<
lb
/>
concludetur in deſcenſu, quod erat &c. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>