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

Page concordance

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              quare manifeſtum eſt, quod velocitas deſcenſus auri
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              AC in aqua ad velocitatem deſcenſus ſtanni GI iņ
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              eadem aqua eamdem proportionem habebit, quam̨
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              differentia ponderum AC, DF ad pondus Y, & hoc
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              erat quæſitum. </s>
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              Ca. 2.pr.10.</s>
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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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            <p type="margin">
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              Prop. 140.</s>
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              Ex pr 227.
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              & 228.</s>
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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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            <p type="main">
              <s id="s.002602">Et hinc patet neceſſitas quare ſolida ęqualia mo­
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              le, ſed inæqualiter grauia licèt æquè velocia ex ſui
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              natura ſint (ſcilicèt in vacuo)
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              tamen inæqua­
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              libus velocitatibus in medijs fluidis deſcendere. </s>
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            <p type="main">
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              PROP. CCXLII.
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            <p type="main">
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              Præterea idem ſolidum in mcdio fluido rariori, & minus
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              ponderoſo citiùs deſcendet, quàm in grauiori fluido, ſi ta­
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              men vtroque fluido ſolidum grauius ſpecie fuerit.
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                <emph.end type="center"/>
              </s>
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            <p type="main">
              <s id="s.002605">SInt duo fluida DF grauius, & KM leuius, & iņ
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              vtroque immergatur idem ſolidum AC vtroque
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              fluido grauius; dico, quod AC velocius deſcendet in
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              KM, quam in DF; ſint vt prius moles, & figuræ paral­
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              lelepipedæ æquales, & horizonta­
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              liter diſpoſitæ cum æqualibus flui­
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              dorum parallelepipedis. </s>
              <s id="s.002606">Quia, vt di­
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              ctum eſt
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              duo ſiphones,
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              & duæ libræ æquales, & radiorum̨
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              æqualium NO, & QR, quarum cen­
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              tra grauitatum T, & V; & ſummą
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              ponderum AC, & DF ad horum dif­
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              ferentiam eamdem proportionem̨
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              habet quàm radius libræ PN ad
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                duli</expan>
              longitudinem PT; idemque
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              in reliqua
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              libra QR; & eidem ponderi AC additis, & ablatis </s>
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          </chap>
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