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

Table of contents

< >
[11.] CHRISTIANI HUGENII A ZULICHEM, Const, F. HOROLOGIUM.
[12.] ILLUSTRISSIMIS AC POTENTISSIMIS HOLLANDIAE Et WESTFRISIAE ORDINIBUS Dominis ſuis, Christianus Hugenius à Zulighem Felicitatem omnem.
[13.] CHRISTIANI HUGENII A ZULICHEM, Const. F. HOROLOGIUM.
[14.] FINIS.
[15.] CHRISTIANI HUGENII ZULICHEMII, CONST. F. HOROLOGIUM OSCILLATORIUM. SIVE DE MOTU PENDULORUM AD HOROLOGIA APTATO DEMONSTRATIONES GEOMETRICÆ
[16.] Dividitur liber hic in partes quinque, quarum
[17.] LUDOVICO XIV, FRANCIÆ ET NAVARRÆ REGI INCLYTO.
[18.] HADRIANI VALLII DAPHNIS, ECLOGA.
[19.] CHRISTIANI HUGENII ZULICHEMII, CONST. F. HOROLOGIUM OSCILLATORIUM, SIVE DE MOTU PENDULORUM AD HOROLOGIA APTATO Demonſtrationes Geometricæ.
[20.] HOROLOGII OSCILLATORII PARS PRIMA, Deſcriptionem ejus continens.
[21.] HOROLOGII OSCILLATORII PARS SECUNDA. De deſcenſu Gravium & motu eorum in Cycloide. HYPOTHESES. I.
[22.] II.
[23.] III.
[24.] PROPOSITIO I.
[25.] PROPOSITIO II.
[26.] PROPOSITIO III.
[27.] PROPOSITIO IV.
[28.] PROPOSITIO V.
[29.] PROPOSITIO VI.
[30.] PROPOSITIO VII.
[31.] PROPOSITIO VIII.
[32.] PROPOSITIO IX.
[33.] PROPOSITIO X.
[34.] PROPOSITIO XI.
[35.] PROPOSITIO XII.
[36.] PROPOSITIO XIII.
[37.] PROPOSITIO XIV.
[38.] PROPOSITIO XV.
[39.] PROPOSITIO XVI.
[40.] PROPOSITIO XVII.
< >
page |< < (63) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div69" type="section" level="1" n="29">
          <pb o="63" file="0095" n="99" rhead="HOROLOG. OSCILLATOR."/>
          <p>
            <s xml:id="echoid-s1342" xml:space="preserve">Elevationem plani vocamus altitudinem ejus ſecundum
              <lb/>
              <note position="right" xlink:label="note-0095-01" xlink:href="note-0095-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .</note>
            perpendiculum.
              <lb/>
            </s>
            <s xml:id="echoid-s1343" xml:space="preserve"> Fig. 4.
              <note symbol="*" position="right" xlink:label="note-0095-03" xlink:href="note-0095-03a" xml:space="preserve">Prop. 4.
                <lb/>
              huj.</note>
            ſit aſcendere per totam B C. Ideoque cadens ex F in B, ſi continuet porro motum per B C; quod repercuſſu ad ſu- perficiem obliquam fieri poteſt; aſcendet usque in C, hoc eſt, altius quam unde decidit, quod eſt abſurdum.</s>
          </p>
          <p>
            <s xml:id="echoid-s1344" xml:space="preserve">Eodem modo oſtendetur neque per planum A B deciden-
              <lb/>
            ti minorem velocitatem acquiri quam per C B. </s>
            <s xml:id="echoid-s1345" xml:space="preserve">Ergo per
              <lb/>
            utraque plana eadem velocitas acquiritur, quod erat demon-
              <lb/>
            ſtrandum.</s>
            <s xml:id="echoid-s1346" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1347" xml:space="preserve">Quod ſi vero, pro plano alterutro, ſumatur perpendicu-
              <lb/>
            lum ipſum planorum elevationi æquale, per quod decidere
              <lb/>
            mobile ponatur, ſic quoque eandem quam per plana incli-
              <lb/>
            nata velocitatem ei acquiri conſtat; </s>
            <s xml:id="echoid-s1348" xml:space="preserve">eadem namque eſt de-
              <lb/>
            monſtratio.</s>
            <s xml:id="echoid-s1349" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1350" xml:space="preserve">Porro hinc jam recte quoque procedet demonſtratio alte-
              <lb/>
            rius theorematis Galileani, cui reliqua omnia, quæ de de-
              <lb/>
            ſcenſu ſuper planis inclinatis tradidit, ſuperſtruuntur. </s>
            <s xml:id="echoid-s1351" xml:space="preserve">Nempe</s>
          </p>
        </div>
        <div xml:id="echoid-div72" type="section" level="1" n="30">
          <head xml:id="echoid-head52" xml:space="preserve">PROPOSITIO VII.</head>
          <p style="it">
            <s xml:id="echoid-s1352" xml:space="preserve">TEmpora deſcenſuum ſuper planis diverſimode
              <lb/>
            inclinatis, ſed quorum eadem eſt elevatio, eſſe
              <lb/>
            inter ſe ut planorum longitudines.</s>
            <s xml:id="echoid-s1353" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>