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

Table of figures

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[181. Figure]
[182. Figure]
[183. Figure]
[184. Figure]
[185. Figure]
[186. Figure]
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              <s id="s.000897">
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              energię ponderis incumbentis cylindri aquei IG:
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              tunc quælibet minima vis addita ponderi P deberet
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              eleuare vſque ad ſupremæ aquæ libellam cylindrum
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              FE, quod ſimilitèr eſt falſum, debet enim ſuperad­
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              di ponderi P aliud pondus R æquale ponderi lignei
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              cylindri FE. </s>
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              Cap. 4. poſi­
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              tiuam leui­
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              tatem noņ
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              dari.</s>
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              PROP. LXXXVI.
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              <s id="s.000900">
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              Præterea alio modo idem confirmare.
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              <s id="s.000901">TAndem (in eadem hypotheſi) ſit vis leuitatis
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              poſitiuæ ligni FE minor vi ponderis ſuperin­
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              cumbentis cylindri aquei IG. (& maioris claritatis
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              gratia) ſupponamus pondus P æquale exceſſui gra­
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              uitatis aqueæ molis cylindro FE æqualis ſupra pon­
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              dus cylindri lignei prædicti;
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              quia ex Archimede lignum̨
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              FE tanto impetu in aqua
                <expan abbr="tẽ-dit">ten­
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                dit</expan>
              ſursùm
                <expan abbr="quãta">quanta</expan>
              eſt vis gra­
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              uitatis prędicti exceſſus. </s>
              <s id="s.000902">Mo­
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                <expan abbr="põdus">pondus</expan>
              cylindri aquei IG
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              maius eſt pondere P, ſcilicèt
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              vi leuitatis ligni FE, igitur
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              prædicta leuitas à pondere
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              aquæ incumbentis ſuperabi­
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              tur vtpotè à maiori virtutę,
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              & proindè lignum detinebitur in fundo vaſis, nec a­
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              ſcendet. </s>
              <s id="s.000903">Si poſtea eidem termino libræ O ſuſpenda­
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              tur aliud pondus Q æquale exceſſui ponderis aquæ </s>
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