Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 42
>
[Figure 31]
Page: 410
[Figure 32]
Page: 453
[Figure 33]
Page: 454
[Figure 34]
Page: 473
[Figure 35]
Page: 474
[Figure 36]
Page: 478
[Figure 37]
Page: 479
[Figure 38]
Page: 487
[Figure 39]
Page: 488
[Figure 40]
Page: 489
[Figure 41]
Page: 490
[Figure 42]
Page: 491
<
1 - 30
31 - 42
>
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N15AC3
">
<
p
id
="
N17228
"
type
="
main
">
<
s
id
="
N17234
">
<
pb
pagenum
="
100
"
xlink:href
="
026/01/132.jpg
"/>
per arcum DM ſubquadruplum DF.ad tempus, quo deſcendit per arcum
<
lb
/>
EK ſubquadruplum EG; </
s
>
<
s
id
="
N1723F
">denique vt tempus, quo per minimum ar
<
lb
/>
cum quadrantis DF, ad tempus, quo deſcendit per alium proportiona
<
lb
/>
lem, ſcilicet quadruplum in quadrante EG; </
s
>
<
s
id
="
N17247
">atqui tam parui arcus poſ
<
lb
/>
ſunt aſſumi, vt ſint ad inſtar lineæ rectæ deorſum tangentis ſcilicet in D
<
lb
/>
& in E; </
s
>
<
s
id
="
N1724F
">igitur in his rectis deſcendunt grauia iuxta progreſſionem præ
<
lb
/>
dictam; </
s
>
<
s
id
="
N17255
">id eſt, cum arcus minimus aſſumptus ab E, qui æquiualet rectæ,
<
lb
/>
ſit quadruplus arcus minimi aſſumpti à puncto D, tempus, quo percurri
<
lb
/>
tur ille primus, eſt ad tempus, quo percurritur hic ſubquadruplus, vt tem
<
lb
/>
pus, quo percurritur EG ad tempus, quo percurritur DF vt dictum eſt; </
s
>
<
s
id
="
N1725F
">
<
lb
/>
ſed tempus, quo percurritur EG eſt duplum illius, quo percurritur DF; </
s
>
<
s
id
="
N17264
">
<
lb
/>
igitur tempus, quo percurritur minimus arcus aſſumptus ab E, & qui eſt
<
lb
/>
ad inſtar rectæ, eſt duplum temporis quo percurritur minimus arcus aſ
<
lb
/>
ſumptus à puncto D ſubquadruplus prioris, & qui eſt etiam ad inſtar re
<
lb
/>
ctæ; igitur ſpatia ſunt vt temporum quadrata. </
s
>
</
p
>
<
p
id
="
N1726F
"
type
="
main
">
<
s
id
="
N17271
">Quod autem tempus, quo percurritur EG ſit duplum illius, quo per
<
lb
/>
curritur DF, patet experientiâ; </
s
>
<
s
id
="
N17277
">nam ſi numerentur ducentæ vibrationes
<
lb
/>
funependuli CD; </
s
>
<
s
id
="
N1727D
">eodem tempore numerabuntur centum vibrationes
<
lb
/>
maioris CE; </
s
>
<
s
id
="
N17283
">igitur vibrationum minoris numerus eſt duplus numeri vi
<
lb
/>
brationum maioris, dum ſimul vibrantur; </
s
>
<
s
id
="
N17289
">igitur eo tempore, quo fiunt
<
lb
/>
100.maioris, fient 200. minoris; nam omnes vibrationes eiuſdem fune
<
lb
/>
penduli ſunt æquò diuturnæ, licèt fiant per arcus inæquales eiuſdem. </
s
>
<
s
id
="
N17291
">
<
lb
/>
quadrantis, vt ſæpè obſeruatum eſt. </
s
>
<
s
id
="
N17295
">In his tribus potiſſimum experimen
<
lb
/>
tis fundatur hæc hypotheſis Galilei, quæ nec clariùs meo. </
s
>
<
s
id
="
N1729A
">iudicio, nec
<
lb
/>
ſinceriùs exponi poſſunt. </
s
>
</
p
>
<
p
id
="
N1729F
"
type
="
main
">
<
s
id
="
N172A1
">Antequam rationes, quæ pro hac ſententia facere videntur, propona
<
lb
/>
mus, refellamuſque; </
s
>
<
s
id
="
N172A7
">oſtendo primò quomodo cum his experimentis
<
lb
/>
ſtare poſſit noſtra hypotheſis; </
s
>
<
s
id
="
N172AD
">igitur ex iis hypotheſis Galilei rectè de
<
lb
/>
duci non poteſt: </
s
>
<
s
id
="
N172B3
">quippe hæc eſt certiſſima regula, quam nemo Philoſo
<
lb
/>
phus negare auſit: </
s
>
<
s
id
="
N172B9
">Quotieſcumque aliquod experimentum tale eſt, vt
<
lb
/>
cum eo ſtare poſſint contrariæ hypotheſes; </
s
>
<
s
id
="
N172BF
">ex eo certè neutra deduci po
<
lb
/>
teſt; igitur ex propoſitis experimentis ſuam hypotheſim Galileus non
<
lb
/>
legitimè deducit, quod vt clariſſimè oſtendam. </
s
>
</
p
>
<
p
id
="
N172C7
"
type
="
main
">
<
s
id
="
N172C9
">Suppono, quando dicitur ſecundum ſpatium eſſe triplum primi ſup
<
lb
/>
poſitis æqualibus temporibus, non ita Geometricè, certaque, & acuratâ
<
lb
/>
aſſertione hoc dici; </
s
>
<
s
id
="
N172D1
">quin vel aliqua puncta in ſpatiis, vel inſtantia in
<
lb
/>
temporibus deſint, vel ſuperſint; </
s
>
<
s
id
="
N172D7
">ſi enim quis diceret ſpatium eſſe tri
<
lb
/>
plum primi minus 100000. punctis, vel ſecundum tempus eſſe maius
<
lb
/>
primo 100000. inſtantibus; quis hanc, vel ſpatij, vel temporis differen
<
lb
/>
tiam ſenſu percipiat? </
s
>
<
s
id
="
N172E1
">cum tamen experimentum omne phyſicum ſenſui
<
lb
/>
ſubeſſe poſſit; </
s
>
<
s
id
="
N172E7
">nec eſt quod aliquis dicat hoc idem toties obſeruatum
<
lb
/>
eſſe, tam multis locis temporibus, totque ac tantis etiam teſtibus, vt mi
<
lb
/>
nimè fraus aliqua, vel error ſubrepere potuerit; nam cum parua ſit, &
<
lb
/>
inſenſibilis tùm ſpatiorum, tùm temporum differentia, maius vel minus
<
lb
/>
æquali tempus, pro æquali, maius.vel minus triplò ſpatium pro triplo </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>