Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

Table of figures

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            <subchap1 n="2" type="proposition">
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                <s id="s.001164">PROPOSITIO II.</s>
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              <subchap2 n="2" type="statement">
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                  <s id="s.001165">Si foramina sint orizontalia, eiusdem altitudi­
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                  nis, quantitates aquarum decursarum sunt
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                  inter se ut foramina.
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              <subchap2 n="2" type="proof">
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                  <s id="s.001166">In vase AB dentur foramina orizontalia aeque
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                  alta C minus, D vero maius.</s>
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                <p type="main">
                  <s id="s.001167">Dico aquam decursam per C, quae sit E, se habere ad aquam
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                  decursam per D, quae sit F, ut foramen C ad foramen D.</s>
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                  <s id="s.001168">Longitudinum C, & D commensurabilium,
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                  sit G communis mensura, & secentur lon­
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                  gitudines C, D in partes, quae sint aequales ipsi
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                  G, quibus divisis a perpendicularibus, producan­
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                  tur tot foramina, quot sunt dictae partes.</s>
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                <p type="margin">
                  <s id="s.001169">
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                  Per pr. pet.</s>
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                <p type="main">
                  <s id="s.001170">Quoniam huiusmodi foramina erunt inter se
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                  aequalia
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                  . Ex eis effluent quantitates aquae
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                  aequales
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                  . </s>
                  <s id="s.001171">Quot igitur sunt foramina in C, D,
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                  tot sunt quantitates aquarum in E, F. </s>
                  <s id="s.001172">Igitur
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                  sunt quatuor quantitates C, D, E, F, quarum
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                  prima, C, est ad E, 2., ut D, 3., ad F, 4.; & per­
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                  mutando erit C ad D ut E ad F
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                  . </s>
                  <s id="s.001173">Quod etc.</s>
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                <p type="margin">
                  <s id="s.001174">
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                  Per 36. primi.</s>
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                <p type="margin">
                  <s id="s.001175">
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                  Per primum huius.</s>
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                <p type="margin">
                  <s id="s.001176">
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                  Per 16. quinti.</s>
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                <p type="main">
                  <s id="s.001177">Dices, quod fieri potest quod longitudines C, D,
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                  non sint commensurabiles, nec proinde G sit eo­
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                  rum communis mensura: sed hic non sumus in
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                  Mathematicis, sed in physicis, ubi non habetur
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                  ratio insensibilium.</s>
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