Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
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
>
Scan
Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
>
page
|<
<
of 360
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000069
">
<
pb
xlink:href
="
028/01/011.jpg
"/>
<
emph
type
="
italics
"/>
accipit R. P. punctum infimum primæ partis, & ab ipſo
<
lb
/>
ſurſum eiuſdem primæ partis dimidium, trientem, quadran
<
lb
/>
tem, & vniuersè tot fragmenta, quot ſunt inferiùs partes
<
lb
/>
æquales; ac tum contendit, quanto tempore dimidium inferius
<
lb
/>
primæ partis percurritur, tanto deinceps partem ſecundam
<
lb
/>
æqualem percurri; quanto triens, tanto tertiam; quanto qua
<
lb
/>
drans, tanto quartam, &c. </
s
>
<
s
id
="
s.000070
">adeò proinde, vt in inferiore pri
<
lb
/>
mæ partis dimidio contineantur ſigillatim omnia tempora, qui
<
lb
/>
bus omnes ſuperſtites æquales partes percurruntur. </
s
>
<
s
id
="
s.000071
">Attamen
<
lb
/>
abs re, & omninô gratis negligit ſuperius dimidium, nullam
<
lb
/>
que eius rationem habet; à cuius tamen initio, non fine, motus
<
lb
/>
incipit, & per quod iam acceleratur, cùm pauciores parteis,
<
lb
/>
<
expan
abbr
="
quã
">quam</
expan
>
inferius non habeat. </
s
>
<
s
id
="
s.000072
">Gratis
<
expan
abbr
="
quoq;
">quoque</
expan
>
vſurpat inferius, ipſique
<
lb
/>
fata omnium partium inferiorum alligat: nam & quòd vult
<
lb
/>
ſecundam partem eſſe huius dimidij duplam, atque ideo eſſe
<
lb
/>
velocitatem duplam, & tempus æquale: nihil aliud; quàm
<
lb
/>
quæſitum petit. </
s
>
<
s
id
="
s.000073
">Aliunde autem variis argumentis conficitur,
<
lb
/>
vt aſſumpto quocumque primo tempore, tam inferius dimidium,
<
lb
/>
quàm ſecunda pars tempore breuiore, breuioreque in infinitum
<
lb
/>
percurrantur (ſubdiuiſo nempe priore dimidio in duo alia, &
<
lb
/>
rurſus priore in alia, &c.) vt
<
expan
abbr
="
itẽ
">item</
expan
>
tam inferius dimidium, qua
<
lb
/>
ſecunda pars percurrantur dimidio temporis, quo integra pri
<
lb
/>
ma: vt tempus per ſecundam partem ſeſquialterum ſit, non
<
lb
/>
duplum ad illud, quo percurritur inferius dimidium: vt tam
<
lb
/>
prima pars ſola, quàm prima, & ſecunda ſimùl, hoc eſt pars,
<
lb
/>
& totum eodem, aut æquali percurrantur tempore; atque id
<
lb
/>
genus cætera, quæ proportione etiam obiici in trientem, qua
<
lb
/>
drantem, fragmentaque alia aſſumptæ primæ partis poſſunt.
<
emph.end
type
="
italics
"/>
<
lb
/>
A p. </
s
>
<
s
id
="
s.000074
">63. in 72. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>