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

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          <p>
            <s xml:id="echoid-s1616" xml:space="preserve">
              <pb o="74" file="0112" n="119" rhead="CHRISTIANI HUGENII"/>
            gens A B, eodem arcu C B major erit. </s>
            <s xml:id="echoid-s1617" xml:space="preserve">quod erat demon-
              <lb/>
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                <emph style="sc">De motu</emph>
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                <emph style="sc">IN</emph>
                <emph style="sc">Cy-</emph>
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                <emph style="sc">CLOIDE</emph>
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            ſtrandum.</s>
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          <head xml:id="echoid-head64" xml:space="preserve">PROPOSITIO XIX.</head>
          <p style="it">
            <s xml:id="echoid-s1619" xml:space="preserve">IIsdem poſitis, ſi tertia recta prioribus parallela
              <lb/>
              <note position="left" xlink:label="note-0112-02" xlink:href="note-0112-02a" xml:space="preserve">TAB. VIII.
                <lb/>
              Fig. 5.</note>
            D K circulum ſecet, quæ tantundem diſtet ab ea
              <lb/>
            quæ remotior eſt à centro quantum hæc à reliqua
              <lb/>
            A F: </s>
            <s xml:id="echoid-s1620" xml:space="preserve">Erit pars tangentis in B, à parallela me-
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            dia, & </s>
            <s xml:id="echoid-s1621" xml:space="preserve">ultimo addita D K, intercepta, nimirum
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            B D, major arcu B C.</s>
            <s xml:id="echoid-s1622" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1623" xml:space="preserve">Hoc enim manifeſtum eſt cum B D fiat ipſi B A æqualis,
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            quam oſtendimus arcu B C majorem eſſe.</s>
            <s xml:id="echoid-s1624" xml:space="preserve"/>
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        <div xml:id="echoid-div107" type="section" level="1" n="43">
          <head xml:id="echoid-head65" xml:space="preserve">PROPOSITIO XX.</head>
          <p style="it">
            <s xml:id="echoid-s1625" xml:space="preserve">SI arcus circuli, ſemicircumferentia minor, A B,
              <lb/>
              <note position="left" xlink:label="note-0112-03" xlink:href="note-0112-03a" xml:space="preserve">TAB. VIII.
                <lb/>
              Fig. 6.</note>
            in partes quotlibet ſecetur lineis rectis paralle-
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            lis, quæ & </s>
            <s xml:id="echoid-s1626" xml:space="preserve">inter ſe, & </s>
            <s xml:id="echoid-s1627" xml:space="preserve">cum rectis ſibi parallelis
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            per terminos arcus ductis, æqualia intervalla con-
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            ſtituant, quales ſunt C D, E F, G H, K L & </s>
            <s xml:id="echoid-s1628" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s1629" xml:space="preserve">ducanturque ad terminum arcus alterutrum A, & </s>
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            ad reliqua omnia ſectionum puncta rectæ circumfe-
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            rentiam tangentes, omnes in eandem partem, & </s>
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            ut unaquæque occurrat proximæ dictarum paralle-
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            larum; </s>
            <s xml:id="echoid-s1632" xml:space="preserve">cujusmodi ſunt tangentes A C, D E, F G,
              <lb/>
            H K & </s>
            <s xml:id="echoid-s1633" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1634" xml:space="preserve">Dico has tangentes, dempta prima A C,
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            ſimul ſumptas, minores eſſe arcu propoſito A B. </s>
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            Easdem vero omnes, non omiſſa A C, majores eſſe
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            arcu A B diminuto parte extrema N B, hoc eſt,
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            majores arcu A N.</s>
            <s xml:id="echoid-s1636" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1637" xml:space="preserve">Ponamus enim primo perallelarum aliquas tranſire ab </s>
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