Heron <Alexandrinus>, Heronis Alexandrini spiritalium liber

Table of contents

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[81.] LXXIII.
[82.] LXXIV.
[83.] LXXV.
[84.] LXXVI.
[85.] FINIS.
[86.] QUATUOR THEOREMATA Adjuncta SPIRITALIBUS HERONIS, Per M. Joannem Baptistam Aleottum. Et Conſtructio modi, quo artificialiter repræſentatur ca-nalis aquæ vivæ aquam ejaculans uſque in verticem cujuscunque altæ turris, ſumma facilitate. Ex Italice in Latinum conutrſa.
[87.] Theorema I.
[88.] Theorema II.
[89.] Theorema III.
[90.] Theorema IV.
[91.] Finis Theorematum adjunctorum.
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            <s xml:id="echoid-s1632" xml:space="preserve">
              <pb o="81" file="0087" n="87" rhead="SPIRITAL. LIBER."/>
            bimus per G H tubum antequam in baſim aqua infundatur, aëre per tu-
              <lb/>
            bum X O excedente. </s>
            <s xml:id="echoid-s1633" xml:space="preserve">Poſtea canalem comprehendentes per quoddam
              <lb/>
            foramen aquam in baſim infundemus, quouſque obſtruamus oſculum O,
              <lb/>
            & </s>
            <s xml:id="echoid-s1634" xml:space="preserve">canalem D dimittamus. </s>
            <s xml:id="echoid-s1635" xml:space="preserve">Manifeſtum igitur eſt vinum non fluere. </s>
            <s xml:id="echoid-s1636" xml:space="preserve">Pro-
              <lb/>
            pterea quod aër nulla ex parte ingredi poteſt. </s>
            <s xml:id="echoid-s1637" xml:space="preserve">Quando autem extremum
              <lb/>
            regulæ R deprimemus, pars aliqua clepſydræ ex aqua extolletur, & </s>
            <s xml:id="echoid-s1638" xml:space="preserve">denu-
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            data reſpiratione O
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            fluet D canalis, quouſque ſublata in clepſydra aqua
              <lb/>
            effluens ipſam O reſpirationem obſtruat. </s>
            <s xml:id="echoid-s1639" xml:space="preserve">At ſi rurſus repleta clepſydra
              <lb/>
            extremum regulæ R pluſquam antea deprimatur longiori tempore effluet
              <lb/>
            ſublata in clepſydra aqua, & </s>
            <s xml:id="echoid-s1640" xml:space="preserve">ob id ex canali plus vini educetur. </s>
            <s xml:id="echoid-s1641" xml:space="preserve">Si vero
              <lb/>
            tota clepſydra extollatur, multo magis effluet. </s>
            <s xml:id="echoid-s1642" xml:space="preserve">Neigitur manu deprima-
              <lb/>
            mus extremum regulæ R, ſit quoddam pondus V in exteriori regulæ par-
              <lb/>
            te R Q delatum: </s>
            <s xml:id="echoid-s1643" xml:space="preserve">& </s>
            <s xml:id="echoid-s1644" xml:space="preserve">quando fuerit propè R totam extollet clepſydram,
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            quando vero remotius minus extollet. </s>
            <s xml:id="echoid-s1645" xml:space="preserve">Itaque experientia invenientes
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            menſuras, quas volumus canalem D fluere, inciſiones faciemus in regula
              <lb/>
            R Q, & </s>
            <s xml:id="echoid-s1646" xml:space="preserve">menſurarum deſcriptiones. </s>
            <s xml:id="echoid-s1647" xml:space="preserve">Quare cum volumus partem aliquam
              <lb/>
            effluere, adillas inciſiones pondus deducentes fluere dimittemus.</s>
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