Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N1C940
">
<
pb
pagenum
="
201
"
xlink:href
="
026/01/233.jpg
"/>
<
p
id
="
N1CE81
"
type
="
main
">
<
s
id
="
N1CE83
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
12.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1CE8F
"
type
="
main
">
<
s
id
="
N1CE91
">
<
emph
type
="
italics
"/>
Impetus naturalis aduentitius productus à corpore graui in plano inclinato
<
lb
/>
eſt minor eo, qui producitur in perpendiculari
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1CE9C
">probatur, quia eſt minor
<
lb
/>
motus, igitur minor impetus, vt ſæpè diximus; </
s
>
<
s
id
="
N1CEA2
">ſecundò (hæc eſt ratio
<
lb
/>
à priori;) quia cum ideo producatur impetus iſte aduentitius, vt motus
<
lb
/>
acceleretur; </
s
>
<
s
id
="
N1CEAA
">certè debet reſpondere motui, qui competit impetui innati; </
s
>
<
s
id
="
N1CEAE
">
<
lb
/>
ſi enim nullum habet motum, nullus accedit de nouo impetus, è con
<
lb
/>
tra verò ſi eſt motus, ſed maior, ſi maior eſt motus, & minor ſi eſt minor;
<
lb
/>
quia hic impetus tantùm eſt propter motum. </
s
>
</
p
>
<
p
id
="
N1CEB7
"
type
="
main
">
<
s
id
="
N1CEB9
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
13.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1CEC5
"
type
="
main
">
<
s
id
="
N1CEC7
">
<
emph
type
="
italics
"/>
Impetus qui producitur in acceleratione motus habet totum motum quem
<
lb
/>
exigit (præſcindendo à reſiſtentia medij)
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1CED2
">nec enim per illum mobile graui
<
lb
/>
tat in planum; </
s
>
<
s
id
="
N1CED8
">alioquin creſceret ſemper grauitatio; </
s
>
<
s
id
="
N1CEDC
">igitur totus exerce
<
lb
/>
tur circa motum; </
s
>
<
s
id
="
N1CEE2
">ratio eſt quia hic impetus addititius non eſt inſtitutus
<
lb
/>
propter grauitationem, ſed tantùm propter motum: adde quod ad om
<
lb
/>
nem lineam determinari poteſt, ſecùs verò naturalis ſaltem om
<
lb
/>
ninò. </
s
>
</
p
>
<
p
id
="
N1CEEC
"
type
="
main
">
<
s
id
="
N1CEEE
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
14.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1CEFA
"
type
="
main
">
<
s
id
="
N1CEFC
">
<
emph
type
="
italics
"/>
Imminuitur motu illo grauitatio corporis in planum
<
emph.end
type
="
italics
"/>
; ratio eſt primò; </
s
>
<
s
id
="
N1CF05
">quia
<
lb
/>
quò velociùs mouetur in plano, breuiori tempore ſingulis partibus in
<
lb
/>
cumbit: </
s
>
<
s
id
="
N1CF0D
">ſecundò quia motu illo accelerato quaſi diſtrahitur mobile ab
<
lb
/>
illa linea grauitationis in planum; hinc mobile celeri motu moueretur
<
lb
/>
in plano illo inclinato, quod eiuſdem ſubſiſtentis grauitationi & ponde
<
lb
/>
ri vltrò cederet. </
s
>
</
p
>
<
p
id
="
N1CF17
"
type
="
main
">
<
s
id
="
N1CF19
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
15.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1CF25
"
type
="
main
">
<
s
id
="
N1CF27
">
<
emph
type
="
italics
"/>
Impetus innatus ex ſe eſt ſemper determinatus ad lineam perpendicularem
<
lb
/>
deorſum
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1CF32
">quia grauitas tendit ad commune centrum, vt videbimus tra
<
lb
/>
ctatu ſequenti; </
s
>
<
s
id
="
N1CF38
">tamen ratione plani quaſi detorquetur ad lineam plani
<
lb
/>
ad quam tamen omninò non determinatur, alioquin non grauitaret in
<
lb
/>
planum: </
s
>
<
s
id
="
N1CF40
">vnde dixi, detorquetur ſeu quaſi diuiditur, perinde quaſi eſſet
<
lb
/>
duplex impetus, quorum alter per lineam perpendicularem deorſum
<
lb
/>
eſſet determinatus, in quo non eſt difficultas; impetus tamen aduenti
<
lb
/>
tius determinatur omninò ad lineam plani. </
s
>
</
p
>
<
p
id
="
N1CF4A
"
type
="
main
">
<
s
id
="
N1CF4C
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Scholium.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1CF58
"
type
="
main
">
<
s
id
="
N1CF5A
">Dubitari poteſt an grauitatio in planum inclinatum ſit vt reſiduum
<
lb
/>
plani, cui detrahitur perpendiculum v.g. ſit planum inclinatum CD ad
<
lb
/>
angulum ACD 60. potentia quæ ſuſtinet pondus B per EB eſt ad præ
<
lb
/>
dictum pondus vt CA ad CD; </
s
>
<
s
id
="
N1CF66
">detrahitur CA ex CD, ſupereſt FD æqua
<
lb
/>
lis ſcilicet CA; </
s
>
<
s
id
="
N1CF6C
">an fortè grauitatio ponderis B in planum inclinatum C
<
lb
/>
D eſt ad grauitationem eiuſdem in planum horizontale; </
s
>
<
s
id
="
N1CF72
">quæ eſt graui
<
lb
/>
tatio tota, id eſt nihil imminuta vt DF ad DC; </
s
>
<
s
id
="
N1CF78
">attollatur enim totum
<
lb
/>
triangulum CAD in eadem ſitu altera manu, & altera filo EB paralle-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>