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
[out of range]
>
<
1 - 30
31 - 42
[out of range]
>
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N1137F
">
<
pb
pagenum
="
52
"
xlink:href
="
026/01/084.jpg
"/>
<
p
id
="
N145C3
"
type
="
main
">
<
s
id
="
N145C5
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
93.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N145D1
"
type
="
main
">
<
s
id
="
N145D3
">
<
emph
type
="
italics
"/>
Impetus propagatur eodem inſtanti, id eſt, ſine temporis ſucceſſione.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
N145DA
"> Proba
<
lb
/>
tur; </
s
>
<
s
id
="
N145DF
">ſit enim applicata potentia in A, dico ſimul produci impetum in
<
lb
/>
BCDE; </
s
>
<
s
id
="
N145E5
">quia ſi primo inſtanti produceretur in A, & ſecundo in B, vel
<
lb
/>
A moueretur ante B, vel impetus in A eſſet fruſtrà; </
s
>
<
s
id
="
N145EB
">vtrumque eſt abſur
<
lb
/>
dum; nam totum AE, ſimul mouetur. </
s
>
</
p
>
<
p
id
="
N145F1
"
type
="
main
">
<
s
id
="
N145F3
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
94.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N145FF
"
type
="
main
">
<
s
id
="
N14601
">
<
emph
type
="
italics
"/>
Tribus tantùm modis propagari poteſt impetus ratione intenſionis.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
N14608
"> Primò
<
lb
/>
ſi æqualiter omnibus partibus ſubjecti diſtribuatur; id eſt vniformiter. </
s
>
<
s
id
="
N1460E
">
<
lb
/>
Secundò, ſi plùs partibus propioribus, & minùs remotioribus. </
s
>
<
s
id
="
N14612
">Tertiò, è
<
lb
/>
contra, ſi plùs remotioribus, & minùs propioribus; </
s
>
<
s
id
="
N14618
">tribus etiam ratione
<
lb
/>
perfectionis eo modo, quo diximus de intenſione; </
s
>
<
s
id
="
N1461E
">at verò nouem mo
<
lb
/>
dis propagari poteſt ratione vtriuſque; patet ex regula combinationum; </
s
>
<
s
id
="
N14624
">
<
lb
/>
ſi enim 3. ducantur in 3. habebis 9. Iam ſupereſt, vt videamus, an reue
<
lb
/>
rà omnibus iſtis modis impetus re ipſa propagetur; </
s
>
<
s
id
="
N1462B
">quod licèt difficile
<
lb
/>
ſit, & vix hactenus explicatum: Audeo tamen polliceri meum ſuper hac
<
lb
/>
re conatum non prorſus inutilem fore. </
s
>
</
p
>
<
p
id
="
N14633
"
type
="
main
">
<
s
id
="
N14635
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
95.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N14641
"
type
="
main
">
<
s
id
="
N14643
">
<
emph
type
="
italics
"/>
Impetus propagatur vniformiter in mobili, cuius omnes partes mouentur
<
lb
/>
æquali motu
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1464E
">probatur, quia impetus non cognoſcitur niſi per motum;
<
lb
/>
igitur vbi eſt æqualis motus, debet eſſe æqualis impetus in omnibus par
<
lb
/>
tibus, id eſt æqualis graduum heterogeneorum collectio, in quo non
<
lb
/>
eſt difficultas. </
s
>
</
p
>
<
p
id
="
N14658
"
type
="
main
">
<
s
id
="
N1465A
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Scholium.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N14666
"
type
="
main
">
<
s
id
="
N14668
">Obſeruabis illud mobile moueri motu æquali ſecundum omnes ſui
<
lb
/>
partes, quod mouetur motu recto; quippe fieri non poteſt, quin omnes
<
lb
/>
partes, quæ mouentur motu recto ſimplici, motu etiam æquali mouean
<
lb
/>
tur. </
s
>
</
p
>
<
p
id
="
N14672
"
type
="
main
">
<
s
id
="
N14674
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
96.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N14680
"
type
="
main
">
<
s
id
="
N14682
">
<
emph
type
="
italics
"/>
Cum duo corpora ſeſe mutuò tangunt, impetus in vtroque propagatur
<
emph.end
type
="
italics
"/>
ſint
<
lb
/>
v. g. globi A & B, æquales ſibi inuicem contigui in C, ſit applicata po
<
lb
/>
tentia in D, non modò producet impetum in globo A, ſed etiam in B: </
s
>
<
s
id
="
N14693
">
<
lb
/>
probatur primò, quia ſe habent per modum vnius, vt patet ex reſiſten
<
lb
/>
tia, nec enim A moueri poteſt ſine B per lineam DE, quod certè cla
<
lb
/>
riſſimum eſt; probatur ſecundò quia ſi A produceret impetum in B, duo
<
lb
/>
globi, vel 3. vel 5. vel infiniti tantùm reſiſterent, quantùm vnicus glo
<
lb
/>
bus, quod falſum & abſurdum eſt. </
s
>
<
s
id
="
N146A0
">Tertiò, Ratio à priori eſt; </
s
>
<
s
id
="
N146A4
">quia ideo
<
lb
/>
producitur, & propagatur impetus in toto A; </
s
>
<
s
id
="
N146AA
">quia vna pars non poteſt
<
lb
/>
moueri ſine alia per Th. 33. ſed non poteſt A moueri niſi moueatur B;
<
lb
/>
igitur in vtroque ſimul, & æqualiter propagatur impetus. </
s
>
</
p
>
<
p
id
="
N146B2
"
type
="
main
">
<
s
id
="
N146B4
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Corollarium
<
emph.end
type
="
italics
"/>
1.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N146C1
"
type
="
main
">
<
s
id
="
N146C3
">Hinc ratio manifeſta cur maior ſit reſiſtentia duorum quàm vnius. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>