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

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            <s xml:id="echoid-s6406" xml:space="preserve">
              <pb o="292" file="0378" n="410" rhead="VARIA CIRCA"/>
            ce, curva V A deſcribitur; </s>
            <s xml:id="echoid-s6407" xml:space="preserve">atque evolutæ ipſius K N lon-
              <lb/>
            gitudo. </s>
            <s xml:id="echoid-s6408" xml:space="preserve">Velut ſi angulus C G A fuerit 60°, erit K N tripla
              <lb/>
            axis B V. </s>
            <s xml:id="echoid-s6409" xml:space="preserve">Si vero latera G B, B A, A G ſint ut 3, 4, 5,
              <lb/>
            erit illa {9/4} axis B V.</s>
            <s xml:id="echoid-s6410" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s6411" xml:space="preserve">6. </s>
            <s xml:id="echoid-s6412" xml:space="preserve">Præterea ſpatii N K V A N quadratura datur. </s>
            <s xml:id="echoid-s6413" xml:space="preserve">Poſi-
              <lb/>
            to enim angulo C G A 60°, erit ſpatium illud æquale rectan-
              <lb/>
            gulo ex axe B V, & </s>
            <s xml:id="echoid-s6414" xml:space="preserve">ea quæ poteſt triplum quadratum
              <lb/>
            ejusdem B V. </s>
            <s xml:id="echoid-s6415" xml:space="preserve">Si vero latera G B, B A, A G ſint ut 3, 4, 5,
              <lb/>
            erit idem ſpatium æquale ſeptuplo quadrato B V, cum par-
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            te octava.</s>
            <s xml:id="echoid-s6416" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6417" xml:space="preserve">7. </s>
            <s xml:id="echoid-s6418" xml:space="preserve">Porro puncta quotlibet catenæ inveniri poſſunt, poſi-
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            ta quadratura curvæ alterutrius harum: </s>
            <s xml:id="echoid-s6419" xml:space="preserve">x x y y = a
              <emph style="super">4</emph>
            — a a y y,
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            vel x x y y = 4a
              <emph style="super">4</emph>
            — x
              <emph style="super">4</emph>
            . </s>
            <s xml:id="echoid-s6420" xml:space="preserve">Vel etiam data diſtantia centri gravi-
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            tatis ab axe, in portionibus planis, quas abſcindunt rectæ
              <lb/>
            axi parallelæ in curva harum priore. </s>
            <s xml:id="echoid-s6421" xml:space="preserve">Quadratura autem hu-
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            jus curvæ pendet a ſummis ſecantium arcuum per minima
              <lb/>
            æqualiter creſcentium: </s>
            <s xml:id="echoid-s6422" xml:space="preserve">quæ ſummæ ex Tabulis ſinuum egre-
              <lb/>
            gio quodam adhibito compendio inveniuntur quamlibet pro-
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            xime. </s>
            <s xml:id="echoid-s6423" xml:space="preserve">Hinc ex. </s>
            <s xml:id="echoid-s6424" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s6425" xml:space="preserve">inventum, quod ſi angulus C G A ſit
              <lb/>
            rectus, & </s>
            <s xml:id="echoid-s6426" xml:space="preserve">ponatur axis B V partium 10000; </s>
            <s xml:id="echoid-s6427" xml:space="preserve">erit B A,
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            21279, non una minus. </s>
            <s xml:id="echoid-s6428" xml:space="preserve">Curva autem V A, per ſuperius
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            indicata cognoſcitur hic eſſe partium 24142, non una minus.</s>
            <s xml:id="echoid-s6429" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6430" xml:space="preserve">In his omnibus non niſi ad caſus ſingulares ſolutiones pro-
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            blematum dedi, vitandæ prolixitatis ſtudio & </s>
            <s xml:id="echoid-s6431" xml:space="preserve">quoniam non
              <lb/>
            dubito quin regulas univerſales Viri docti affatim ſint exhi-
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            bituri. </s>
            <s xml:id="echoid-s6432" xml:space="preserve">Quod ſi tamen aliquæ ex noſtris requirentur, eas lu-
              <lb/>
            benter mittam. </s>
            <s xml:id="echoid-s6433" xml:space="preserve">Ac jam pridem omnes apud Clariſſimum Vi-
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            rum G. </s>
            <s xml:id="echoid-s6434" xml:space="preserve">G. </s>
            <s xml:id="echoid-s6435" xml:space="preserve">Leibnitium involucro quodam obtectas depoſui.</s>
            <s xml:id="echoid-s6436" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div478" type="section" level="1" n="196">
          <head xml:id="echoid-head253" xml:space="preserve">X.</head>
          <head xml:id="echoid-head254" style="it" xml:space="preserve">Hugenii Annotationes in librum Pariſiis 1689.
            <lb/>
          editum, de Manuaria Nautica.</head>
          <p>
            <s xml:id="echoid-s6437" xml:space="preserve">Auctor hujus librieſt D. </s>
            <s xml:id="echoid-s6438" xml:space="preserve">Renaldus (M. </s>
            <s xml:id="echoid-s6439" xml:space="preserve">Renau, Ingenieur ge-
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            neral de Marine), ſumma cura & </s>
            <s xml:id="echoid-s6440" xml:space="preserve">methodo conſcriptus </s>
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