Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
archimedes
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<
text
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<
front
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<
section
>
<
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id
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type
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">
<
s
id
="
N112D1
">
<
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xlink:href
="
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"/>
fligit, non quidem in centro grauitatis, id eſt, in medio, ſi ſit cy
<
lb
/>
lindrus, vel parallelipedum; </
s
>
<
s
id
="
N112DB
">nec in extremitate mobili; </
s
>
<
s
id
="
N112DF
">ſed in eo
<
lb
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puncto, in quo eſt centrum impetus impreſſi, id eſt, quod æqualem
<
lb
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vtrinque dirimit impetum: ratio eſt; </
s
>
<
s
id
="
N112E7
">quia tunc totus impetus agit,
<
lb
/>
quantùm poteſt; </
s
>
<
s
id
="
N112ED
">illud autem punctum Geometria demonſtrat eſſe
<
lb
/>
terminum mediæ proportionalis, inter totum cylindrum, & ſub
<
lb
/>
duplum; modò nulla ratio vectis habeatur alioquin centrum pro
<
lb
/>
cuſſionis diſtat 2/3 ab extremitate immobili. </
s
>
</
p
>
<
p
id
="
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type
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<
s
id
="
N112F9
">10. Cùm fuſtis inflectitur, reditque ad priſtinum ſtatum, vt
<
lb
/>
videre eſt in tudicula maiore, maior ictus imprimitur: </
s
>
<
s
id
="
N112FF
">quia non
<
lb
/>
tantùm agit impetus extrinſecùs adueniens; </
s
>
<
s
id
="
N11305
">verùm etiam potentia
<
lb
/>
quædam media, quæ corpora compreſſa, vel tenſa, ad priſtinum
<
lb
/>
ſtatum reducit: hinc maximus eſt ictus tudiculæ, cùm eo inſtanti,
<
lb
/>
quo reductum eſt omninò manubrium priori rectitudini, infligitur
<
lb
/>
ictus, quia tunc vis potentiæ mediæ eſt maxima. </
s
>
</
p
>
<
p
id
="
N11311
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type
="
main
">
<
s
id
="
N11313
">11. Rotato flagello ideò maxima vis ineſt, quia diutiùs potentia
<
lb
/>
manet applicata: </
s
>
<
s
id
="
N11319
">hinc vides hoc principium eſſe vniuerſaliſſimum,
<
lb
/>
quod iactis, pulſis, & impactis competit; </
s
>
<
s
id
="
N1131F
">de malleorum ictu idem
<
lb
/>
prorſus dicendum eſt, quod de fuſte; </
s
>
<
s
id
="
N11325
">ſi autem mallei cadant
<
lb
/>
ex eadem altitudine, motu naturali accelerato, ictus ſunt vt
<
lb
/>
mallei, quia duplus malleus, v. g. duplum impetum acquirit: nam
<
lb
/>
ſingulæ partes ſeorſim æqualem impetum acquirunt. </
s
>
</
p
>
<
p
id
="
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type
="
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">
<
s
id
="
N11335
">12. Si verò ex diuerſa altitudine cadant, vel ſunt æquales, vel
<
lb
/>
inæquales: </
s
>
<
s
id
="
N1133B
">ſi primum, ictus ſunt vt tempora, quibus cadunt: </
s
>
<
s
id
="
N1133F
">ſi
<
lb
/>
ſecundum, ictus ſunt in ratione compoſita temporum, & mal
<
lb
/>
leorum: </
s
>
<
s
id
="
N11347
">ſi ſunt infinitæ, partes actu, nulla eſt proportio percuſſionis
<
lb
/>
granuli cadentis, & rupis ingentis grauitantis; </
s
>
<
s
id
="
N1134D
">ſed hoc vltimum fal
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lb
/>
ſum eſſe conſtat; </
s
>
<
s
id
="
N11353
">non poteſt tamen determinari proportio vitium
<
lb
/>
grauitationis, & percuſſionis, niſi numerus inſtantium: quibus durat
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lb
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motus deorſum cognoſcatur. </
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>
</
p
>
<
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id
="
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<
s
id
="
N1135D
">13. Leuiſſimi lapides vix emittuntur ad modicam diſtantiam; </
s
>
<
s
id
="
N11361
">
<
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/>
quia ſtatim ſeparantur à potentia: </
s
>
<
s
id
="
N11366
">parallelipedum cadens de or
<
lb
/>
ſum in ſitu horizontali maximum ictum infligit in centro grauita
<
lb
/>
tis, id eſt, in medio; </
s
>
<
s
id
="
N1136E
">quia tunc totus impetus agit, totus enim impe
<
lb
/>
ditur: </
s
>
<
s
id
="
N11374
">in aliis punctis minor eſt ictus, iuxta proportionem maioris
<
lb
/>
diſtantiæ à prædicto centro: ſi verò percutiatur cylindrus innatans,
<
lb
/>
maxima erit vis, vel effectus ictus in centro grauitatis propter ean
<
lb
/>
dem rationem. </
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>
</
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</
section
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</
front
>
<
body
>
<
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"> </
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</
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</
archimedes
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