Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
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<
front
>
<
section
>
<
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xlink:href
="
026/01/014.jpg
"/>
<
p
id
="
N1064E
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type
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main
">
<
s
id
="
N10650
">4. Hinc ſingulis temporibus æqualibus deſtruitur gradus impe
<
lb
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tui innato; </
s
>
<
s
id
="
N10656
">eſt enim eadem ratio pro omnibus: </
s
>
<
s
id
="
N1065A
">igitur temporibus
<
lb
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æqualibus deſtruitur æqualis impetus: </
s
>
<
s
id
="
N10660
">igitur amittit ille motus
<
lb
/>
æqualia velocitatis momenta: </
s
>
<
s
id
="
N10666
">igitur eſt naturaliter retardatus: </
s
>
<
s
id
="
N1066A
">igi
<
lb
/>
tur iuxta eam proportionem decreſcit motus violentus, iuxtaquam
<
lb
/>
creſcit naturalis: igitur dici debent de hac progreſſione retardatio
<
lb
/>
nis, quæ dicta ſunt de illa progreſſione accelerationis. </
s
>
</
p
>
<
p
id
="
N10674
"
type
="
main
">
<
s
id
="
N10676
">5. Hinc impetus imperfectior initio deſtruitur: </
s
>
<
s
id
="
N1067A
">quia, cùm motus
<
lb
/>
ille ſit velocior initio, inſtantia ſunt minora: </
s
>
<
s
id
="
N10680
">atqui minori tempore
<
lb
/>
minùs retardatur: </
s
>
<
s
id
="
N10686
">igitur inperfectior impetus deſtruitur; </
s
>
<
s
id
="
N1068A
">cùm è
<
lb
/>
contrario in motu acceleratio initio acquiratur imperfectior, quia
<
lb
/>
inſtantia ſunt maiora: vnde vides, gradus impetus eſſe heteroge
<
lb
/>
neos, & principium illud etiam in impetu valere, ſcilicet, ſubiectum
<
lb
/>
ita compleri ab vna forma, vt alterius homogeneæ non ſit ampliùs
<
lb
/>
capax, ſaltem naturaliter. </
s
>
</
p
>
<
p
id
="
N10698
"
type
="
main
">
<
s
id
="
N1069A
">6. Hinc vltimus gradus impetus violenti eſt omnium perfectiſ
<
lb
/>
ſimus, vt conſtat. </
s
>
<
s
id
="
N1069F
">Quieſceret vno inſtanti mobile iactum ſurſum, ſi
<
lb
/>
gradus vltimus violenti eſſet æqualis perfectionis, cum impetu in
<
lb
/>
nato: </
s
>
<
s
id
="
N106A7
">vbi enim ventum eſſet ad inſtans æqualitatis, neutrum præ
<
lb
/>
ualere poſſet: </
s
>
<
s
id
="
N106AD
">igitur inſtanti ſequenti eſſet quies: </
s
>
<
s
id
="
N106B1
">cùm tamen ſint
<
lb
/>
diuerſæ perfectionis, perfectior præualet: vter autem ſit perfectior,
<
lb
/>
dicemus infrà. </
s
>
</
p
>
<
p
id
="
N106B9
"
type
="
main
">
<
s
id
="
N106BB
">7. Cum mobile ſurſum reflectitur, vel terra perforata ſuam lineam
<
lb
/>
motus ſurſum versus oppoſitam cœli plagam promouet, vel aliud
<
lb
/>
æqualis ponderis, vel maioris, ſurſum mouet, tunc certum eſt, inna
<
lb
/>
tum eſſe perfectiorem: </
s
>
<
s
id
="
N106C5
">ſi verò imprimitur ab alia potentia motrice,
<
lb
/>
tunc etiam imperfectior eſt impetu innato; </
s
>
<
s
id
="
N106CB
">nam inæqualis eſt; </
s
>
<
s
id
="
N106CF
">alio
<
lb
/>
quin, ſi eſſet æqualis, ſimul eſſent in eodem ſubiecto duo gradus
<
lb
/>
homogenei: </
s
>
<
s
id
="
N106D7
">præſtat autem eſſe imperfectiorem, quàm perfectio
<
lb
/>
rem, vt plura impetus puncta à potentia imprimantur; </
s
>
<
s
id
="
N106DD
">quòd mul
<
lb
/>
tum facit ad mouenda maiora pondera: hinc nullo inſtanti quieſ
<
lb
/>
cunt proiecta ſurſum. </
s
>
</
p
>
<
p
id
="
N106E5
"
type
="
main
">
<
s
id
="
N106E7
">8. Tandiu durat ſenſibiliter deſcenſus globi proiecti ſurſum,
<
lb
/>
quandiu durauit aſcenſus; </
s
>
<
s
id
="
N106ED
">eſt enim eadem ratio: ſagittæ verò mi
<
lb
/>
nùs durat aſcenſus, quàm deſcenſus propter mixtionem materiæ. </
s
>
<
s
id
="
N106F3
">
<
lb
/>
Si motus violentus eſſet æquabilis, percurreret proiectum ſpatium
<
lb
/>
ferè duplum eo tempore, quo retardato percurrit ſubduplum: </
s
>
<
s
id
="
N106FA
">hinc
<
lb
/>
ſonus tam citò auditur; </
s
>
<
s
id
="
N10700
">quia propagatur cum particulis aëris æqua
<
lb
/>
bili ferè motu: </
s
>
<
s
id
="
N10706
">eſſe autem ſpatium ferè duplum, probatur ex eo, </
s
>
</
p
>
</
section
>
</
front
>
</
text
>
</
archimedes
>