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

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        <div xml:id="echoid-div480" type="section" level="1" n="197">
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            <s xml:id="echoid-s6770" xml:space="preserve">
              <pb o="305" file="0391" n="423" rhead="MECHANICAM."/>
            angulum A B K, qui eſt angulus venti cum viâ. </s>
            <s xml:id="echoid-s6771" xml:space="preserve">Ad quod
              <lb/>
            demonſtrandum ducatur M N perpendicularis ipſi B G. </s>
            <s xml:id="echoid-s6772" xml:space="preserve">ſe-
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            cat M N angulum B M G angulo A B K æqualem,
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            bifariam; </s>
            <s xml:id="echoid-s6773" xml:space="preserve">& </s>
            <s xml:id="echoid-s6774" xml:space="preserve">quoniam M N eſt parallela ipſi D C, angulus
              <lb/>
            B M N dimidius anguli B M G, qui æqualis eſt angulo
              <lb/>
            A B K, æqualis eſt angulo A B C, qui ipſe per conſe-
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            quens æqualis eſt dimidio angulo A B K. </s>
            <s xml:id="echoid-s6775" xml:space="preserve">Unde ſequitur,
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            veli ſitum ſemper bifariam debere ſecare angulum venti & </s>
            <s xml:id="echoid-s6776" xml:space="preserve">
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            viæ, & </s>
            <s xml:id="echoid-s6777" xml:space="preserve">cum agitur de progrediendo in adverſum venti, de-
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            bere illum cum velo conſtituere angulum 30. </s>
            <s xml:id="echoid-s6778" xml:space="preserve">graduum, pro-
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            ramque itidem cum velo angulum 30. </s>
            <s xml:id="echoid-s6779" xml:space="preserve">grad.</s>
            <s xml:id="echoid-s6780" xml:space="preserve">; quia, ut de-
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            monſtratum fuit in Theoria Manuariæ Nauticæ, quocunque
              <lb/>
            in ſitu reſpectu venti diſponatur velum, neceſſe eſt ut ejus
              <lb/>
            complementum prora bifariam ſecet. </s>
            <s xml:id="echoid-s6781" xml:space="preserve">Et exinde apparet, quo-
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            cunque in ſitu conſtituatur prora, quæ ſemper cum via con-
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            gruit; </s>
            <s xml:id="echoid-s6782" xml:space="preserve">quia ponitur navem non deviare, neceſſe eſſe ut angulum
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            quem cum prora, ventus conſtituit, velum bifariam ſecet.
              <lb/>
            </s>
            <s xml:id="echoid-s6783" xml:space="preserve">Unde ſequitur angulum rectum debere à prora & </s>
            <s xml:id="echoid-s6784" xml:space="preserve">velo in
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            tres partes æquales ſecari, id eſt, ventum cum velo 30. </s>
            <s xml:id="echoid-s6785" xml:space="preserve">
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            gradus conſtituere, proram itidem cum velo 30. </s>
            <s xml:id="echoid-s6786" xml:space="preserve">gradus,
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            & </s>
            <s xml:id="echoid-s6787" xml:space="preserve">cum vento per conſequens 60.</s>
            <s xml:id="echoid-s6788" xml:space="preserve"/>
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        <div xml:id="echoid-div483" type="section" level="1" n="198">
          <head xml:id="echoid-head257" xml:space="preserve">XII.</head>
          <head xml:id="echoid-head258" style="it" xml:space="preserve">Exceptio D
            <emph style="super">ni</emph>
          Hugenii ad Reſponſum
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          D
            <emph style="super">ni</emph>
          Renaldi.</head>
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            <s xml:id="echoid-s6789" xml:space="preserve">Mihi evidens videbatur illud quod in obſervationibus de
              <lb/>
            errore primario, qui reperitur in tractatu de manuaria nauti-
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            ca D
              <emph style="super">ni</emph>
            Renaldi, propoſueram, & </s>
            <s xml:id="echoid-s6790" xml:space="preserve">cenſuerunt viri in re Ma-
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            thematicâ verſatiſſimi, argumentum meum omni exceptione
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            majus eſſe; </s>
            <s xml:id="echoid-s6791" xml:space="preserve">idcirco neque credideram, velle ipſum quidpiam
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            reſpondere, quo ſuam confirmaret Theoriam; </s>
            <s xml:id="echoid-s6792" xml:space="preserve">interim ex iis,
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            quæ in lucem edidit, apparet eum minime de ſuo errore mecum
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            ſentire; </s>
            <s xml:id="echoid-s6793" xml:space="preserve">& </s>
            <s xml:id="echoid-s6794" xml:space="preserve">quandoquidem rationibus utitur, e quibus haud
              <lb/>
            ita facile ſe expedire poſſent illi, qui non ſatis hæcce o-
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            mnia excuſſerunt, obſtrictum me credidi ad </s>
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