Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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            jam fuit demonſtratam. </s>
            <s xml:id="echoid-s1183" xml:space="preserve">E re vero duxi id de novo hic demonſtrare, quia ca-
              <lb/>
            ſus præſens diverſus videri poterat ab illo, de quo in præfato paragrapho dici-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s1184" xml:space="preserve">His intellectis non opus eſt pluribus explicare Phænomena circa hanc
              <lb/>
            rem §. </s>
            <s xml:id="echoid-s1185" xml:space="preserve">21. </s>
            <s xml:id="echoid-s1186" xml:space="preserve">Auctore s’Graveſande indicata; </s>
            <s xml:id="echoid-s1187" xml:space="preserve">patet enim, aquam non aliter efflue-
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            re per vas compoſitum A E F M N G H B, quam per vas ſimplex A O M N P B,
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            cum nempe orificium M N eſt valde parvum, atque hinc majorem eſſe veloci-
              <lb/>
            tatem ſuperficiei aqueæ C D, quam ſi per vas A E F G H B aquæ effluerent, po-
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            ſito orificio M N = F G, multoque magis ſi M N fuerit majus quam F G,
              <lb/>
            quod fit cum tubus verſus inferiora amplitudine creſcit: </s>
            <s xml:id="echoid-s1188" xml:space="preserve">attamen obſervari de-
              <lb/>
            bet, ab initio motus aquam tardius deſcendere, quam ſic definitum fuit, nec
              <lb/>
            regulam iſtam prius locum habere quam ſuperficies C D per ſpatiolum ali-
              <lb/>
            quod deſcenderit, quod tamen brevi fit tempore: </s>
            <s xml:id="echoid-s1189" xml:space="preserve">mutationes, quæ ab initio
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            motus fiunt, in hoc caſu, examinabimus in ſectione ſequente.</s>
            <s xml:id="echoid-s1190" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s1191" xml:space="preserve">§, 24. </s>
            <s xml:id="echoid-s1192" xml:space="preserve">Eodem modo computus eſſet inſtituendus, ſi vaſi, quod ſem-
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            per nunc amplitudinis infinitæ ponimus, implantatus eſſet tubulus non verti-
              <lb/>
            calis ſed horizontalis, veluti in fig. </s>
            <s xml:id="echoid-s1193" xml:space="preserve">19. </s>
            <s xml:id="echoid-s1194" xml:space="preserve">aut ſub alia directione qualicunque, ſem-
              <lb/>
              <note position="left" xlink:label="note-0060-01" xlink:href="note-0060-01a" xml:space="preserve">Fig. 19.</note>
            per autem reperietur aquas per orificium M N mox, poſtquam ſuperficies aquæ
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            in vaſe principali aliquantulum deſcendit, ea proxime effiuere velocitate, quæ re-
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            ſpondeat altitudini iſtius ſuperficiei ſupra orificium; </s>
            <s xml:id="echoid-s1195" xml:space="preserve">Inde liquet quod manen-
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            tibus tam altitudine aquæ ſupra tubulum G N, quam ipſo orificio F G, au-
              <lb/>
            geatur quantitas aquæ dato tempore effiuens ab aucta amplitudine orificii M N:
              <lb/>
            </s>
            <s xml:id="echoid-s1196" xml:space="preserve">Sic igitur demonſtratum hic dedimus, quod dictum fuit in fine §. </s>
            <s xml:id="echoid-s1197" xml:space="preserve">5, Sect. </s>
            <s xml:id="echoid-s1198" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1199" xml:space="preserve">Fron-
              <lb/>
            tinum experientia fuiſſe edoctum, nempe, plus debito aquæ erogari per cali-
              <lb/>
            cem legitimæ tum menſuræ tum poſitionis, cui ſtatim fiſtulæ amplioris moduli
              <lb/>
            ſubjectæ ſint. </s>
            <s xml:id="echoid-s1200" xml:space="preserve">Et quidem quantitates aquæ cæteris paribus erogari deberent ip-
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            ſis orificiis M N proxime proportionales, niſi multa eſſent impedimenta; </s>
            <s xml:id="echoid-s1201" xml:space="preserve">quæ
              <lb/>
            hanc quantitatem valde diminuant, de quibus proxime dicam: </s>
            <s xml:id="echoid-s1202" xml:space="preserve">facere poſſunt
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            hæc impedimenta; </s>
            <s xml:id="echoid-s1203" xml:space="preserve">ut admodum parum fluxus aquarum promoveatur ab au-
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            cto orificio extremo; </s>
            <s xml:id="echoid-s1204" xml:space="preserve">ſemper tamen promovebitur aliquantum.</s>
            <s xml:id="echoid-s1205" xml:space="preserve"/>
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            <s xml:id="echoid-s1206" xml:space="preserve">§. </s>
            <s xml:id="echoid-s1207" xml:space="preserve">25. </s>
            <s xml:id="echoid-s1208" xml:space="preserve">Ex præmiſſis liquet velocitatem, qua ſuperficies aquæ C D in
              <lb/>
            utroque, de quo diximus, caſu deſcendit cæteris paribus pendere ab am-
              <lb/>
            plitudine orificiorum M N; </s>
            <s xml:id="echoid-s1209" xml:space="preserve">Hæc autem ea innituntur hypotheſi, quod aqua
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            lateribus tubulorum G N ubique adhæreat & </s>
            <s xml:id="echoid-s1210" xml:space="preserve">pleno orificio M N effluat, </s>
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