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

Table of figures

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              T ad V, ita erit moles aquæ R ad S. </s>
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              Ibidem.</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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              PROP. CCXXIII.
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              Si duæ fistulæ inæqualiter altæ habuerint orificia æqualia,
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              atque ex eis egrediantur moles aquæ æquales, tempora
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              effluxuum habebunt ſubduplicatam proportionem reci­
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              procam altitudinum fistularum.
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              <s id="s.002443">SIt altitudo fiſtulæ AB maior, quàm CD, & eorum
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              orificia B, D æqualia, & ex B egrediatur moles
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              aquæ R tempore T, ex D verò profluat moles aquæ
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              S æqualis ipſi R tempore V, & vt priùs, ſit BE media
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              proportionalis inter AB, &
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              CD; dico tempus V ad T
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                dem</expan>
              proportionem haberę,
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                <expan abbr="quã">quam</expan>
              EB ad CD, ſit moles aquæ
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              X illa, quæ defluit ab orificio
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              D eodem tempore T, igitur
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              vt moles aquæ R ad X, ita erit
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              altitudo EB ad CD, poſteą
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              quia ab eodem oriſicio D fi­
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              ſtulæ CD exeunt duæ moles
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              aqueæ X, & S temporibus T,
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              & V, igitur vt
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              V ad T, ita ſe habet moles aquæ
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              S ad X: ſunt verò moles aquæ R, & S ex hypotheſi,
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              æquales, igitur ad eamdem molem X eamdem pro­
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              portionem habent; eſt verò EB ad CD vt R ad X;
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              atque V ad T vt S ad X; igitur altitudo EB ad CD
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              proportionem habebit, quam tempus V ad T. </s>
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              Prop. 221.</s>
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              Prop. 222.</s>
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              PROP. CCXXIV.
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              Duæ moles aquæ eodm tempore egredientes ex orificijs inæ-
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