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

Table of figures

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              ſities R fluidi N motui corporis A ad
                <expan abbr="">eam</expan>
              retardatio­
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              nem quam ei affert craſſities S fluidi M eodem tem­
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              pore T, ſe habet vt ſpatium EL ad ſpatium DL, quæ
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              ſunt retardationes factæ in eiſdem fluidis, igitur ve­
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              locitas corporis A in fluido M ad eiuſdem velocita­
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              tem in fluido N habebit
                <expan abbr="minorẽ">minorem</expan>
              proportionem,
                <expan abbr="quã">quam</expan>
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              craſſities, & reſiſtentia fluidi N ad craſſitiem alterius
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              fluidi M. </s>
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              Cap. 10. de
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              æquitempo­
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              ranea natu­
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              rali veloci­
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              tate
                <expan abbr="grauiũ">grauium</expan>
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              <s id="s.002163">Ponatur poſtea DL æqualis CE, habebit ED ad
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              duas æquales eamdem proportionem, & componen­
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              do DC ad CE erit vt EL ad LD, & ideò vt craſſities R,
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              ad S, ita erit velocitas corporis A in M ad
                <expan abbr="velocitatẽ">velocitatem</expan>
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              eiuſdem in fluido N. </s>
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                <expan abbr="Tandẽ">Tandem</expan>
              ponatur DL maior, quam CE, ſequitur quod
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              DC ad CE maiorem proportionem habet quam EL
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              ad LD, & ideò velocitas ipſius A in M ad eam, quam
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              habet in N maiorem proportionem habebit, quàm
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              R ad S, ſcilicèt, quàm craſſities fluidi N ad
                <expan abbr="craſſitiẽ">craſſitiem</expan>
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              fluidi M. </s>
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              COROLLARIVM.
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            <p type="main">
              <s id="s.002166">HInc ſequitur verum non eſſe quòd velocitates
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              eiuſdem corporis grauis in duobus medijs flui­
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              dis ſemper reciprocè proportionales ſint reſiſtentijs
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              eorumdem fluidorum. </s>
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              <s id="s.002167">Si enim ex. </s>
              <s id="s.002168">gr. ſupponamus globum aureum de­
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              ſcendere in ſpatio inani ablatis omnibus
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                tis medij</expan>
              abſoluta, & inalterata eius velocitate natu­
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              rali, vt nimirum tempore vnius minuti ſeeundi hora-</s>
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