Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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              ceſſariò vacuum admitti debere, ad hoc autem
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                dendum</expan>
              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.</s>
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              Directè de­
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              monſtratur
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                <expan abbr="vacuiexiſtẽ-tia">vacui exiſten­
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                tia</expan>
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              <s id="s.002812">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 </s>
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            <p type="main">
              <s id="s.002813">
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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. </s>
              <s id="s.002814">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. </s>
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              Cap. 7. prop.
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              <s id="s.002816">140. & 141.</s>
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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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              <s id="s.002819">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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              ,
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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-</s>
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