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

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            ex B in K, eodem tempore, quo pergeret ex B in G, ſi
              <lb/>
            undequaque aquam eadem facilitate ſecaret, aut directe per
              <lb/>
            B G, æque ac per B K progrediretur.</s>
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            <s xml:id="echoid-s6472" xml:space="preserve">In his ſic ratiocinatum fuiſſe auctorem videtur, ſcilicet,
              <lb/>
            ſi in motu ex B in G, navis feratur ad latus per K G & </s>
            <s xml:id="echoid-s6473" xml:space="preserve">di-
              <lb/>
            recte progrediatur per B K, oportet, ut ſublato motu per
              <lb/>
            K G, motus per B K ſuperſit, quo motu linea B K percur-
              <lb/>
            rebatur eodem tempore quo B G.</s>
            <s xml:id="echoid-s6474" xml:space="preserve"/>
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            <s xml:id="echoid-s6475" xml:space="preserve">Sed notandum erat, licet motus navis per B G poſſit con-
              <lb/>
            cipi tanquam compoſitus ex motibus per B K, & </s>
            <s xml:id="echoid-s6476" xml:space="preserve">K G,
              <lb/>
            inde non ſequi ſi in re ipſa tantum ſuperſit motus per B K
              <lb/>
            (ſive figura ipſius navis in cauſa ſit, ſive hæc cohæreat
              <lb/>
            cum fune infinito B R, perpendiculari ad B M) ventum
              <lb/>
            qui navem ex B in G tranſtuliſſet, hanc æquali tempore
              <lb/>
            poſſe transferre ex B in K. </s>
            <s xml:id="echoid-s6477" xml:space="preserve">Ut enim determinemus viam
              <lb/>
            juxta B K percurſam, vim propellentem debemus determi-
              <lb/>
            nare, & </s>
            <s xml:id="echoid-s6478" xml:space="preserve">attendere ad reſiſtentiam quam ex actione aquæ pa-
              <lb/>
            titur navis.</s>
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            <s xml:id="echoid-s6480" xml:space="preserve">Conſtat autem in Mechanicis, vim, qua velum D C, na-
              <lb/>
            vem pellit per B K, eſſe ad vim qua idem velum, & </s>
            <s xml:id="echoid-s6481" xml:space="preserve">in ea-
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            dem poſitione reſpectu venti, illam pelleret per B G, uti
              <lb/>
            B K ad B G: </s>
            <s xml:id="echoid-s6482" xml:space="preserve">ut Auctor ipſe ponit in his, quæ ſcripſit
              <lb/>
            de impreſſionibus aquæ in gubernaculum Art. </s>
            <s xml:id="echoid-s6483" xml:space="preserve">5. </s>
            <s xml:id="echoid-s6484" xml:space="preserve">hujus ſecun-
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            di Cap. </s>
            <s xml:id="echoid-s6485" xml:space="preserve">Sed celeritates quoque eſſent ſicuti B K ad B G;
              <lb/>
            </s>
            <s xml:id="echoid-s6486" xml:space="preserve">quia point Auctor lineas æqualibus temporibus percurri. </s>
            <s xml:id="echoid-s6487" xml:space="preserve">
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            Vires ergo forent ut celeritates, quod impoſſibile eſt, dictis-
              <lb/>
            que Auctoris repugnat in 13° Art. </s>
            <s xml:id="echoid-s6488" xml:space="preserve">primi Cap. </s>
            <s xml:id="echoid-s6489" xml:space="preserve">ubi dicit,
              <lb/>
            ut corpus diverſis velocitatibus in fluido moveatur, requiri
              <lb/>
            vires in ratione quadratorum celeritatum: </s>
            <s xml:id="echoid-s6490" xml:space="preserve">lineæ ergo B K,
              <lb/>
            B G, non percurruntur æquali tempore. </s>
            <s xml:id="echoid-s6491" xml:space="preserve">Ut autem determi-
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            netur, ſpatium juxta B K percurſum continuanda eſt B K
              <lb/>
            in S, ita ut B S ſit media proportionalis inter B K, B G. </s>
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            Tum B S erit ſpatium, quod eo tempore permeabit navis
              <lb/>
            quo pergeret per B G; </s>
            <s xml:id="echoid-s6493" xml:space="preserve">ſi aquam juxta hanc directionem
              <lb/>
            eadem facilitate ſecaret. </s>
            <s xml:id="echoid-s6494" xml:space="preserve">nam quadrata celeritatum </s>
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