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

Table of contents

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[41.] PROPOSITIO XVIII.
[42.] PROPOSITIO XIX.
[43.] PROPOSITIO XX.
[44.] PROPOSITIO XXI.
[45.] PROPOSITIO XXII.
[46.] LEMMA.
[47.] PROPOSITIO XXIII.
[48.] PROPOSITIO XXIV.
[49.] PROPOSITIO XXV.
[50.] PROPOSITIO XXVI.
[51.] HOROLOGII OSCILLATORII PARS TERTIA.
[52.] DEFINITIONES. I.
[53.] II.
[54.] III.
[56.] PROPOSITIOI.
[57.] PROPOSITIO II.
[58.] PROPOSITIO III.
[59.] PROPOSITIO IV.
[60.] PROPOSITIO V.
[61.] PROPOSITIO VI.
[62.] PROPOSITIO VII.
[63.] PROPOSITIO VIII.
[64.] PROPOSITIO IX.
[65.] Conoidis parabolici ſuperficiei curvæ circulum æqualem invenire.
[66.] Sphæroidis oblongi ſuperſiciei circulum æqualem invenire.
[67.] Sphæroidis lati ſive compreſſi ſuperficiei circulum æqualem invenire.
[68.] Conoidis hyperbolici ſuperficiei curvæ circulum æqualem invenire.
[69.] Curvæ parabolicæ æqualem rectam lineam invenire.
[70.] PROPOSITIO X.
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            <image file="0133-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0133-01"/>
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            <emph style="sc">De linea-</emph>
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            <emph style="sc">RUM CUR-</emph>
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            <emph style="sc">VARUM</emph>
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            <emph style="sc">EVOLUTIO-</emph>
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            <emph style="sc">NE</emph>
          .</note>
        </div>
        <div xml:id="echoid-div144" type="section" level="1" n="51">
          <head xml:id="echoid-head73" xml:space="preserve">HOROLOGII OSCILLATORII</head>
          <head xml:id="echoid-head74" style="it" xml:space="preserve">PARS TERTIA.</head>
          <p style="it">
            <s xml:id="echoid-s1973" xml:space="preserve">De linearum curvarum evolutione & </s>
            <s xml:id="echoid-s1974" xml:space="preserve">dimenſione.</s>
            <s xml:id="echoid-s1975" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div145" type="section" level="1" n="52">
          <head xml:id="echoid-head75" xml:space="preserve">DEFINITIONES.</head>
          <head xml:id="echoid-head76" xml:space="preserve">I.</head>
          <p style="it">
            <s xml:id="echoid-s1976" xml:space="preserve">LINEA in unam partem inflexa vocetur quam
              <lb/>
            rectæ omnes tangentes ab eadem parte contin-
              <lb/>
            gunt. </s>
            <s xml:id="echoid-s1977" xml:space="preserve">Si autem portiones quasdam rectas lineas ha-
              <lb/>
            buerit, hæ ipſæ productæ pro tangentibus habentur.</s>
            <s xml:id="echoid-s1978" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div146" type="section" level="1" n="53">
          <head xml:id="echoid-head77" xml:space="preserve">II.</head>
          <p style="it">
            <s xml:id="echoid-s1979" xml:space="preserve">Cum autem duæ hujusmodi lineæ ab eodem pun-
              <lb/>
            cto egrediuntur, quarum convexitas unius obverſa
              <lb/>
            ſit ad cavitatem alterius, quales ſunt in figura
              <lb/>
            adſcripta curvæ A B C, A D E, ambæ in ean-
              <lb/>
              <note position="right" xlink:label="note-0133-02" xlink:href="note-0133-02a" xml:space="preserve">TAB. XI.
                <lb/>
              Fig. 2.</note>
            dem partem cavæ dicantur.</s>
            <s xml:id="echoid-s1980" xml:space="preserve"/>
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        <div xml:id="echoid-div148" type="section" level="1" n="54">
          <head xml:id="echoid-head78" xml:space="preserve">III.</head>
          <p style="it">
            <s xml:id="echoid-s1981" xml:space="preserve">Si lineæ, in unam partem cavæ, filum ſeu linea
              <lb/>
            flexilis circumplicata intelligatur, & </s>
            <s xml:id="echoid-s1982" xml:space="preserve">manente una
              <lb/>
            fili extremitate illi affixa, altera extremitas ab-
              <lb/>
            ducatur, ita ut pars ea quæ ſoluta eſt ſemper ex-
              <lb/>
            tenſa maneat; </s>
            <s xml:id="echoid-s1983" xml:space="preserve">manifeſtum eſt curvam quandam
              <lb/>
            aliam hac fili extremitate deſcribi. </s>
            <s xml:id="echoid-s1984" xml:space="preserve">Vocetur autem
              <lb/>
            ea, Deſcripta ex evolutione.</s>
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