Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

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              Propoſitio XIV. Theorema VI.
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              Tubi non ſemper pleni æquè alti, & æqualium. forami­
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              num, ſed inæqualium baſium, evacuantur inæqualibus
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              temporibus;
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              eadem ratio temporum,
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              quæ baſium.
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              <s>PRimum patet per ſe, quia cæteris omnibus paribus major a­
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              quæ quantitas maius requirit tempus ad effluendum, quàm
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              minor. </s>
              <s>Alterum demonſtratur, vel potiùs explicatur ſic. </s>
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              Proportio
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              temporum
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              eadem quæ
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              baſium
                <expan abbr="tu-borũ">tu­
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                borum</expan>
              , quo­
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              ad aquæ flu
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              xum.
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            <figure id="id.051.01.160.1.jpg" xlink:href="051/01/160/1.jpg" number="54"/>
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              <s>Eſto tubus AB minoris baſis, & alius ACBD
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              majoris, uterque cylindricus, uterque æquè altus, &
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              æqualis foraminis B; ſitque diameter baſis BD tripla
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              diametri baſis B: eritigitur area baſis BD noncupla
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              areæ baſis B, quoniam circuli inter ſe ſunt, ut qua­
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              drata diametrorum, per Propoſit. 2. lib. 12. Element.
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              Euclidis; quadratum
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              diametri BD triplo maio­
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              ris diametro B, eſt nonies maius, quàm quadratum
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              diametri B, ut ex Geometria practica patet. </s>
              <s>Cùm
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              igitur cylindri æquè alti ſint inter ſe, ut
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              baſes, ut
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              patet ex
                <expan abbr="eadẽ">eadem</expan>
              Geomet. practica; ſequitur, aquam tubi
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              ACBD eſſe noncuplam aquæ tubi AB; ac proinde
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              tempus quo exhauritur per foramen B tubus ACDB,
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              noncuplum erit temporis, quo exhauritur per idem
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              foramen B, tubus AB,
                <expan abbr="quandoquidẽ">quandoquidem</expan>
              cylindrus aqueus ACBD,
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              non magis premit ſupra
                <expan abbr="foramẽ">foramen</expan>
              B, quàm cylindrulus aqueus AB,
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              per dicta Propoſit. II. in Corollario, & Propoſit. VII. Annot. 2. </s>
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              Annotatio I.
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              MErſennus in Hydraulicis Phænomenis Propoſit.
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              8.
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              ait, conſtare ex
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              obſervatione, tubum quadrupedalem, cuius baſis digitalis, uno mi­
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              nuto temporis totum per lineare lumen exhauriri; tubum verò quadru­
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              pedalem cuius baſis pedalis, ſpatio
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              144.
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              minutorum, ſeu duabus horis, &
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              24.
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              minutis. </s>
              <s>Servatur ergò inter temporaratio baſium, vt demonſtra­
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              vimus: Nam cùm pedis longitudo contineat, ex Merſenni mente, ut
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              vidimus Propoſit. VII. huius Capitis Annot. I. digiti latitudinem
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