Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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        <div xml:id="echoid-div463" type="section" level="1" n="190">
          <pb o="282" file="0366" n="397" rhead="VARIA CIRCA"/>
          <p>
            <s xml:id="echoid-s6113" xml:space="preserve">Aër vero ille qui ſupereſt in cylindro, impedit magnam
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            partem effectus, quem exereret machina, ſi omnis aër pror-
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            ſus exhauriretur; </s>
            <s xml:id="echoid-s6114" xml:space="preserve">ut ſatis videre eſt, & </s>
            <s xml:id="echoid-s6115" xml:space="preserve">ſimul determinari
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            computatione poteſt. </s>
            <s xml:id="echoid-s6116" xml:space="preserve">Ideo deberet examinari, quæ ratio in-
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            ter altitudinem & </s>
            <s xml:id="echoid-s6117" xml:space="preserve">diametrum cylindri ſit optima in hâc ma-
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            china ad h@nc maxime evacuandam adhibitâ minima quan-
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            tum poſſet pulveris quantitate, nam licet totus cylindrus
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            non evacuetur, vis hujus preſſionis nihilominus magnum
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            ederet effectum.</s>
            <s xml:id="echoid-s6118" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6119" xml:space="preserve">Poterit hæc inſervire non tantum elevationi magnorum
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            ponderum quorumcunque & </s>
            <s xml:id="echoid-s6120" xml:space="preserve">aquarum. </s>
            <s xml:id="echoid-s6121" xml:space="preserve">Sed etiam ad pro-
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            jicienda globos & </s>
            <s xml:id="echoid-s6122" xml:space="preserve">ſagittas magna vi, juxta methodum bali-
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            ſtarum veterum.</s>
            <s xml:id="echoid-s6123" xml:space="preserve"/>
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            <s xml:id="echoid-s6124" xml:space="preserve">Ulterius, cum propter cylindri convexitatem, non ſit neceſſe,
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            ut ſit valde ſolidus ad reſiſtendum preſſioni aëris externi, cer-
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            tum eſt totam machinam exigui ponderis eſſe poſſe, quæ levi-
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            tas conjuncta cum magna vi, quam habet, poterit forte uſui
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            eſſe ad effectus edendos quos huc uſque impoſſibiles duximus.</s>
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        <div xml:id="echoid-div465" type="section" level="1" n="191">
          <head xml:id="echoid-head243" xml:space="preserve">VI.</head>
          <head xml:id="echoid-head244" style="it" xml:space="preserve">Demonſtratio Æquilibrii bilancis.</head>
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            <s xml:id="echoid-s6126" xml:space="preserve">In demonſtratione, quam Archimedes dedit de propoſitione
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              <note position="left" xlink:label="note-0366-01" xlink:href="note-0366-01a" xml:space="preserve">TAB. XXXII.
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              Fig. 4.</note>
            fundamentali Mechanices, tacite ponit quid, de quo jure
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            aliquo poſſumus dubitare; </s>
            <s xml:id="echoid-s6127" xml:space="preserve">eſt autem hoc, ſi plura pondera
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            æqualia annexa ſint libræ ad diſtantias æquales a ſe invicem;
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            </s>
            <s xml:id="echoid-s6128" xml:space="preserve">ſive omnia ſint ad eandem partem puncti ſuſpenſionis, ſive quæ-
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            dam transferantur ad patrem oppoſitam, ut in hac figura, ubi
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            punctum ſuſpenſionis eſt A, pondera habere eandem vim
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            ad deflectendam libram quam ſi forent omnia ſuſpenſa in pun-
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            cto, ubi eſt commune eorum centrum gravitatis, ut hic eſt
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            punctum B. </s>
            <s xml:id="echoid-s6129" xml:space="preserve">adeo ut ſi ſeparatim ſuſpenſa in æquilibrio fo-
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            rent cum contrario pondere C, hoc etiam obtineret ſuſpen-
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            @is omnibus ponderibus in puncto B, vel eorum loco pon-
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            dus D, quod æquat omnium gravitatem.</s>
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