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

Table of figures

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              <s id="s.002418">
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              te egrediantur duæ moles aquæ æquales, temporą
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              quoque effluxuum erunt inter ſe æqualia; & è
                <expan abbr="cõuer-ſo">conuer­
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                ſo</expan>
              . </s>
              <s id="s.002419">Idemque dicendum eſt ſi tempora, atque moles
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              aquæ eadem velocitate dilapſæ habuerint quamlibet
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              proportionem æquè multiplicem, vel earumdem par­
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              tium. </s>
              <s id="s.002420">His præmiſſis. </s>
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              <s id="s.002421">
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              Cap. 11. gra­
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              uia in fluido
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              velocitati­
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              bus inæqua­
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              libus ferri
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              debere.</s>
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              PROP. CCXX.
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            <p type="main">
              <s id="s.002423">
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              Si ex æqualibus fistularum orificijs
                <expan abbr="tẽporibus">temporibus</expan>
              æqualibus duæ
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              aquæ moles defluant inæqualibus velocitatibus, erunt
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              aquæ moles proportionales velocitatibus.
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              <s id="s.002424">SInt fiſtulæ AB, & CD, quarum orificia infima B,
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              & D ſint æqualia, &
                <expan abbr="eorũ">eorum</expan>
              plana non ſit obliquè
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              inclinata ad directionem motus, quo aqua ab eis de­
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              fluit, ſed eiſdem directionibus perpendiculares ſint,
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              (& hoc intelligatur in omnibus ſubſequentibus pro­
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              poſitionibus), defluat poſtea moles aquæ R ex AB
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              velocitate M tempore T, & eodem
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              tempore minor moles aquæ S deci­
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              dat ex CD velocitate N. oſtenden­
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              dum eſt molem aquæ R ad S
                <expan abbr="eamdẽ">eamdem</expan>
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              proportionem habere quam velo­
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              citas M ad N. </s>
              <s id="s.002425">Sumantur alia velo­
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              citas H, & altera moles aquę O, hac
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              lege, vt H ipſius N, nec non O alte­
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              rius S quælibet, & eædem partes
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              ſint. </s>
              <s id="s.002426">Patet, quòd eodem temporę
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              T ex foramine æquali ipſi B velocitate H fluet moles
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              aquæ O dum ex D velocitate N fuit aquæ moles S; &
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              ſiquidem velocitas H æqualis eſt velocitati M egre-</s>
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