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

Table of figures

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              <s id="s.002559">
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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. 223.</s>
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              Prop 235.</s>
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            <p type="margin">
              <s id="s.002563">
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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. CCXXXVII.
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            <p type="main">
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              Iiſdem poſitis ſi aſcenſus vel deſcenſus fiant æqualibus tem­
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              poribus, ſpatium ex actum à maiori ſolido maius erit ſpa­
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              tio tranſacto à ſolido minori, ſed ad
                <expan abbr="ipsũ">ipsum</expan>
              habebit
                <expan abbr="minorẽ">minorem</expan>
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              proportionem, quàm ſit ſubduplicata altitudinem.
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                <emph.end type="center"/>
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            <p type="main">
              <s id="s.002566">AScendat primò ſolidum ABC ſpatium X tempo­
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              re T, atque DEF percurrat ſpatium Z eodem̨
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                <figure id="id.010.01.494.1.jpg" xlink:href="010/01/494/1.jpg"/>
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              tempore T. dico ſpatium X maius
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              eſſe, quàm Z, ſed minorem propor­
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              tionem ad ipſum habere, quàm ſit
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              ſubduplicata altitudinis AB ad D
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              E; quia velocitates ſolidorum AB
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              C, & DEF eamdem proportionem
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              habent, quam ſpatia X, & Z eodem
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              tempore exacta, ergo patet propo­
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              ſitum. </s>
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              <s id="s.002567">Non exiguum tempus inſump­
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              ſi vt experimentis expenderem ſuperiorem theori­
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              am, ſed exactam præciſionem nulla diligentia, aut
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              labore adhibito aſſequi potui, hocque pendet ex
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              quamplurimis difficultatibus, ſi enim cylindrulorum
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              in fiſtulis vitreis aqua plenis aſcenſus, vel deſcen­
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              ſus, obſeruentur, tunc varietates inſignes contin­
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              gunt, quæ procùl dubio
                <expan abbr="producũtur">producuntur</expan>
              à vario contactu,
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              vel ab inæquali diſtantia cylindrorum à ſuperficię
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              interna vitri, quæ liberè aquam interceptam fluere
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              non ſinit. </s>
              <s id="s.002568">Si poſtea vaſa ampla vſurpentur, tunc li­
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              cèt infimæ partes cylindrorum plumbo, vel alio pon­
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              dere grauiores reddantur iuxtà proportionem altitu-</s>
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