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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            <s xml:id="echoid-s6541" xml:space="preserve">
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            transferre ex Bin K. </s>
            <s xml:id="echoid-s6542" xml:space="preserve">Et primo in eo mihi videtur falli. </s>
            <s xml:id="echoid-s6543" xml:space="preserve">Nam
              <lb/>
            ut navis poſſit ferri ex B in G tempore determinato, neceſſe
              <lb/>
            eſt ut reapſe celeritatem habeat, quâ eodem tempore ſecun-
              <lb/>
            dum determinationem B K, lineam B K, & </s>
            <s xml:id="echoid-s6544" xml:space="preserve">ſecundum deter-
              <lb/>
            minationem K G, lineam K G poſſit percurrere. </s>
            <s xml:id="echoid-s6545" xml:space="preserve">Et ne hoc
              <lb/>
            in dubium vocari poſſit, concipiamus navim pelli ſecundum
              <lb/>
            determinationem B K, vi quâ certo tempore ex B poſſit
              <lb/>
            pervenire in K; </s>
            <s xml:id="echoid-s6546" xml:space="preserve">concipiamus eandem ſimul pelli ſecundum
              <lb/>
            K G, vi quâ eodem tempore poſſit percurrere lineam K G:
              <lb/>
            </s>
            <s xml:id="echoid-s6547" xml:space="preserve">cum duæ hæ vires nec ſibi contrarientur nec etiam concur-
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            rant (eſt enim B K perpendicularis ipſi K G) neceſſe eſt
              <lb/>
            ut harum unicuique navis ex toto obſecundet; </s>
            <s xml:id="echoid-s6548" xml:space="preserve">& </s>
            <s xml:id="echoid-s6549" xml:space="preserve">per con-
              <lb/>
            ſequens celeritas, quam ſingulis momentis habebit ſecundum
              <lb/>
            B K, erit ad celeritatem, quam iisdem momentis habebit,
              <lb/>
            ſecundum K G, ut B K ad K G; </s>
            <s xml:id="echoid-s6550" xml:space="preserve">& </s>
            <s xml:id="echoid-s6551" xml:space="preserve">ita navis utrique vi ſatis-
              <lb/>
            faciens, movebitur per B G, & </s>
            <s xml:id="echoid-s6552" xml:space="preserve">tempore determinato perveniet
              <lb/>
            in G; </s>
            <s xml:id="echoid-s6553" xml:space="preserve">Etideo ſi in effectu ipſi relinquatur ſolus motus per B K,
              <lb/>
            vis quæcunque, quâ pelleretur ex B in G, illam tempore
              <lb/>
            æquali pellet ex B in K. </s>
            <s xml:id="echoid-s6554" xml:space="preserve">Inutilem enim reddendo illam im-
              <lb/>
            preſſionis partem, quæ requiritur ut eodem tempore navis
              <lb/>
            percurrat K G, neque augetur, ut diximus, neque minui-
              <lb/>
            tur celeritas per B K. </s>
            <s xml:id="echoid-s6555" xml:space="preserve">Fateor, ſi angulus B K G eſſet acu-
              <lb/>
            tus, vim peculiarem quâ pelleretur navis ſecundum K G,
              <lb/>
            aliquid detracturam celeritati, quam haberet ſecundum B K
              <lb/>
            utpote ſibi contrariæ; </s>
            <s xml:id="echoid-s6556" xml:space="preserve">& </s>
            <s xml:id="echoid-s6557" xml:space="preserve">contra, ſi angulus B K G foret obtu-
              <lb/>
            ſus, eandem celeritatem utpote cum altera concurrentem, eſſe
              <lb/>
            augendam; </s>
            <s xml:id="echoid-s6558" xml:space="preserve">ſed cum angulus B K G rectus ſit, vis illa ce-
              <lb/>
            leritatem navis ſecundum B K neque auget, neque minuit.</s>
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          </p>
          <p>
            <s xml:id="echoid-s6560" xml:space="preserve">Addit D
              <emph style="super">nus</emph>
            Hugenius; </s>
            <s xml:id="echoid-s6561" xml:space="preserve">Ut enim determinemus viam ju-
              <lb/>
            xta B K percurſam, vim propellentem debemus determina-
              <lb/>
            re, & </s>
            <s xml:id="echoid-s6562" xml:space="preserve">attendere ad reſiſtentiam quam ex actione aquæ patitur
              <lb/>
            navis. </s>
            <s xml:id="echoid-s6563" xml:space="preserve">Statim oſtendi relationes celeritatum in variis de-
              <lb/>
            terminationibus ſibi invicem perpendicularibus, ſufficere ad
              <lb/>
            detegendam viam, quam navis eſt ſecutura; </s>
            <s xml:id="echoid-s6564" xml:space="preserve">nec per con-
              <lb/>
            ſequens ad id requiri relationem virium, nec reſiſtentiarum;
              <lb/>
            </s>
            <s xml:id="echoid-s6565" xml:space="preserve">ſed cum dictæ celeritates à viribus dependeant, idem </s>
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