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

Table of contents

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[191.] VI. Demonſtratio Æquilibrii bilancis.
Page: 397 (282)
[192.] VII. De potentiis fila funesve trahentibus.
Page: 405 (287)
[193.] VIII. Solitio problematis a G G. Leibnitio propoſiti in diario (cui titulus Nouvelles de la Republi-que des Lettres) menſis Sept. 1687. PROBLEMA.
Page: 408 (290)
[194.] Solutio.
Page: 408 (290)
[195.] IX. Chriſtiani Hugenii, Solutio Problematis de linea in quam flexile ſe pondere pro-prio curvat.
Page: 409 (291)
[196.] X. Hugenii Annotationes in librum Pariſiis 1689. editum, de Manuaria Nautica.
Page: 410 (292)
[197.] XI. Reſponſum Dni Renaldi ad Dominum Hugenium.
Page: 414 (296)
[198.] XII. Exceptio Dni Hugenii ad Reſponſum Dni Renaldi.
Page: 423 (305)
[199.] FINIS.
Page: 426 (308)
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              <pb o="296" file="0382" n="414" rhead="VARIA CIRCA"/>
            D. </s>
            <s xml:id="echoid-s6524" xml:space="preserve">Fatio antea invenit, cum aliis pulcherrimis circa hanc
              <lb/>
            materiam, ut percepi in tabula quadam, in qua quorun-
              <lb/>
            dam iſtorum angulorum rationes deſignarat. </s>
            <s xml:id="echoid-s6525" xml:space="preserve">Duas veras ra-
              <lb/>
            dices continet æquatio hæc inſervientes duobus caſibus, in
              <lb/>
            quibus carina cum venti linea eundem angulum efficit, ut-
              <lb/>
            pote, quando navis vento ſecundo aut adverſo utitur.</s>
            <s xml:id="echoid-s6526" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s6527" xml:space="preserve">Cæterum quin vera ſit noſtra regula non poterit, D.
              <lb/>
            </s>
            <s xml:id="echoid-s6528" xml:space="preserve">Renaldus dubitare, cum per eam angulus gubernaculi cum
              <lb/>
            carina, quo navis omnium celerrime circumvolvitur, idem
              <lb/>
            detegatur, quem determinavit in capite 7°. </s>
            <s xml:id="echoid-s6529" xml:space="preserve">Quod ipſius in-
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            ventum certe utiliſſimum eſt. </s>
            <s xml:id="echoid-s6530" xml:space="preserve">Ponendo enim p = a, id eſt
              <lb/>
            ponendo venti lineam ad carinam perpendicularem, noſtrâ
              <lb/>
            regulâ habetur x = V {2/3} a a, quem ille detexit ſinum an-
              <lb/>
            guli carinæ aut directionis motus aquæ cum gubernaculo,
              <lb/>
            quod ſic neceſſario ſeſe habere facile patet.</s>
            <s xml:id="echoid-s6531" xml:space="preserve"/>
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            <s xml:id="echoid-s6532" xml:space="preserve">Licet Theoria hæc poſt a me indicatam correctionem dif-
              <lb/>
            ficilior evadat, quam in tractatu D
              <emph style="super">ni</emph>
            Renaldi, percipio nihil-
              <lb/>
            ominus regulam detegi poſſe, qua & </s>
            <s xml:id="echoid-s6533" xml:space="preserve">navis & </s>
            <s xml:id="echoid-s6534" xml:space="preserve">veli ſitus de-
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            terminarentur, ut in adverſum venti omnium maxime pro-
              <lb/>
            grediatur, ſed computatio nimium longa foret, quare hanc
              <lb/>
            nunc non aggredior. </s>
            <s xml:id="echoid-s6535" xml:space="preserve">Quibus addendum navis deviationem
              <lb/>
            in hac computatione non conſiderari, ex qua conſideratione
              <lb/>
            maxima daretur difficultas. </s>
            <s xml:id="echoid-s6536" xml:space="preserve">Quia non modo cum auctore at-
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            tendendum eſt ad relationem inter reſiſtentias quas patitur
              <lb/>
            navis proram verſus & </s>
            <s xml:id="echoid-s6537" xml:space="preserve">ad latus, ſed etiam ad actionem venti
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            in ipſam navem, præcipue in hujus latus; </s>
            <s xml:id="echoid-s6538" xml:space="preserve">ita ut ex unica ob-
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            ſervatione quæ ad deviationem ſpectant non poſſent deduci.</s>
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          <head xml:id="echoid-head255" xml:space="preserve">XI.</head>
          <head xml:id="echoid-head256" style="it" xml:space="preserve">Reſponſum D
            <emph style="super">ni</emph>
          Renaldi ad Dominum
            <lb/>
          Hugenium.</head>
          <p>
            <s xml:id="echoid-s6540" xml:space="preserve">D
              <emph style="super">nus</emph>
            Hugenius hæc ponit, licet motus navis per B G poſſit
              <lb/>
            concipi tanquam compoſitus ex motibus per B K & </s>
            <s xml:id="echoid-s6541" xml:space="preserve">K G, inde
              <lb/>
            non ſequi, ſi re ipſa tantum ſuperſit motus per B K, ventum,
              <lb/>
            qui navem ex B in G iranſtuliſſet, hanc æquali tempore </s>
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