Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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 - 491
>
Scan
Original
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
<
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 - 491
>
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N22A20
">
<
pb
pagenum
="
324
"
xlink:href
="
026/01/358.jpg
"/>
<
p
id
="
N243C6
"
type
="
main
">
<
s
id
="
N243C8
">Obſeruo ſecundò iuxta progreſſionem Galilei, ſi aſſumatur pars tem
<
lb
/>
poris ſenſibilis, in qua percurratur ſpatium ſuperius in arcu, non poſſe
<
lb
/>
cognoſci quanto tempore percurratur reliquus arcus; </
s
>
<
s
id
="
N243D0
">ſit enim trian
<
lb
/>
gulum mixtum ABE, quale iam expreſſimus, ſitque primus arcus dato
<
lb
/>
tempore decurſus ad reliquum vt AD ad DE; </
s
>
<
s
id
="
N243D8
">ducatur DC, ſitque v.g.
<
lb
/>
trapezus DCBA ad triangulum ABE vt 2. ad.7.dico velocitatem, quæ
<
lb
/>
acquiritur in arcu AD, eſſe ad illam, quæ acquiritur in AE vt 2.ad 7. &
<
lb
/>
ad illam, quæ acquiritur in DE, vt 2.ad 5.ſed in hoc motu tempora non
<
lb
/>
ſunt vt velocitates; </
s
>
<
s
id
="
N243E5
">quia temporibus æqualibus non acquiruntur æqua
<
lb
/>
les velocitatis gradus; </
s
>
<
s
id
="
N243EB
">igitur nec ſpatia vt temporum, ſeu velocitatum
<
lb
/>
quadrata; igitur incertum eſt hactenus, in qua proportione temporum
<
lb
/>
percurrantur duo arcus dati in quadrante, & quæ proportio ſpatiorum
<
lb
/>
reſpondeat temporibus datis. </
s
>
</
p
>
<
p
id
="
N243F5
"
type
="
main
">
<
s
id
="
N243F7
">Secundò, incertum etiam hactenus in qua proportione percurratur
<
lb
/>
velociùs arcus, quàm chorda, & tardiùs, quàm radius in perpendiculo,
<
lb
/>
& quantum ſpatium in eodem perpendiculo percurratur eo tempore,
<
lb
/>
quo totus arcus quadrantis peragitur. </
s
>
</
p
>
<
p
id
="
N24400
"
type
="
main
">
<
s
id
="
N24402
">Tertiò incertum eſt, in qua proportione minor vibratio citiùs peraga
<
lb
/>
tur, quàm maior; </
s
>
<
s
id
="
N24408
">licèt cognoſci poſſit in qua proportione peragantur ci
<
lb
/>
tiùs duæ chordæ inſcriptæ arcui minori, quàm duæ inſcriptæ arcui maio
<
lb
/>
ri; & licèt certum ſit omnes chordas ſeorſim ſumptas æqualibus tem
<
lb
/>
poribus decurri, & citiùs decurri duas eidem arcui inſcriptas, quàm ſo
<
lb
/>
lam inferiorem. </
s
>
</
p
>
<
p
id
="
N24414
"
type
="
main
">
<
s
id
="
N24416
">Quartò incertum eſt, in qua proportione imminuatur impetus tùm in
<
lb
/>
deſcenſu, tùm in aſcenſu, tùm propter reſiſtentiam aëris, tùm propter ten
<
lb
/>
ſionem chordæ, tùm ratione triplicis determinationis in ſingulis pun
<
lb
/>
ctis arcus; </
s
>
<
s
id
="
N24420
">licèt certum ſit quantum ſingulis inſtantibus detrahatur im
<
lb
/>
petus in aſcenſu ab impetu innato retrahente pendulum deorſum; incer
<
lb
/>
tum eſt tamen, quantus ſit ille impetus innatus. </
s
>
</
p
>
<
p
id
="
N24428
"
type
="
main
">
<
s
id
="
N2442A
">Quintò, incertum eſt in qua proportione aſcenſus primæ vibrationis
<
lb
/>
ſit minor deſcenſu eiuſdem; </
s
>
<
s
id
="
N24430
">incertum etiam, in qua proportione aſcen
<
lb
/>
ſus ſecundæ ſit minor aſcenſu prime; </
s
>
<
s
id
="
N24436
">incertum denique, in qua proportio
<
lb
/>
ne plùs imminuatur aſcenſus maiorum vibrationum, quàm minorum; li
<
lb
/>
cèt certum ſit plùs imminui. </
s
>
</
p
>
<
p
id
="
N2443E
"
type
="
main
">
<
s
id
="
N24440
">Sextò, incertum eſt, quot peragantur vibrationes dati funependulis
<
lb
/>
item quantus ſit arcus vltimæ vibrationis; </
s
>
<
s
id
="
N24446
">item in qua proportione ma
<
lb
/>
ior ſit numerus vibrationum, quarum prima maior eſt numero vibratio
<
lb
/>
num, quarum prima minor eſt; denique quot intercipiantur vibratio
<
lb
/>
nes in differentia data duorum arcuum. </
s
>
</
p
>
<
p
id
="
N24450
"
type
="
main
">
<
s
id
="
N24452
">Hæc, quæ hactenus propoſuimus in 6. vltimis capitibus, ſunt omninò
<
lb
/>
incerta, ita vt neque ſenſu percipi poſſint, neque fuerit hactenus vllum
<
lb
/>
principium, per quod poſsint demonſtrari; niſi fortè primum caput ex
<
lb
/>
cipias, de quo infrà. </
s
>
</
p
>
<
p
id
="
N2445C
"
type
="
main
">
<
s
id
="
N2445E
">Primò dubium eſt an numerus vibrationum funependuli maioris ſit
<
lb
/>
maior numero vibrationum funependuli minoris, poſito quòd primam </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>