Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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ceſſariò vacuum admitti debere, ad hoc autem
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dendum</
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repetenda ſunt aliqua priùs expoſita, & af
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ferenda alia ſunt, quæ ad noſtrum inſtitutum condu
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cunt.
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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Directè de
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monſtratur
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vacuiexiſtẽ-tia
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tia</
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.</
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<
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">Et primò ni fallor ſatis apertè oſtendimus fluida
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corpora diuidi non poſſe ſemper in partes, quæ pari
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tèr fluidæ ſint, ſed neceſſariò deueniendum eſſe ad </
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particulas quantas, & figuratas; hæ verò neceſsè eſt,
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vt vel molles, & flexibiles, aut omninò rigidæ, & du
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ræ ſint. </
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">Igitur ſi oſtenderimus, quod corpora mollia,
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& flexibilia neceſſariò componuntur ex particulis
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quantis figuratiſque non mollibus, nec flexibilibus,
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procùl dubio duræ conſiſtentes, & rigidæ erunt, &
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proinde fluidum reſolui tandem debet in particulas
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prorsùs duras. </
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Cap. 7. prop.
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PROP. CCLX.
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Et primò oſtendendum eſt, quod minimæ particulæ corpus
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molle componentes non poſſunt eſſe molles.
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<
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id
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">SI enim hoc verum non eſt, ſint particulæ primum
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molle corpus componentes non duræ, ſed mol
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les; ergo diuidendo corpus molle numquam deue
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niemus ad aliquam minimam eius particulam
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durã
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,
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ſed ſemper mollis erit, (nam ſi ad rigidas perueniri
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poſſet ex his profectò componeretur, quod non po
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nitur) & quia eatenus tale corpus cedit mollitiem
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que habet, quatenùs aliquæ eius partes quieſcunt
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reliquis ab vno ad alium locum translatis, vel dę
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verſo, & inæquali motu agitantur ab eo, quo reliquę
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eius partes mouentur, ſed in maiori, aut minori pro-</
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