Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica
page |< < (40) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div27" type="section" level="1" n="20">
          <p>
            <s xml:id="echoid-s916" xml:space="preserve">
              <pb o="40" file="0066" n="67" rhead="CHRISTIANI HUGENII"/>
            metrum vero baſeos, dimidiæ perpendiculi longitudi-
              <lb/>
              <note position="left" xlink:label="note-0066-01" xlink:href="note-0066-01a" xml:space="preserve">
                <emph style="sc">Descri-</emph>
                <lb/>
                <emph style="sc">PTIO</emph>
                <emph style="sc">Ho-</emph>
                <lb/>
                <emph style="sc">ROLOGII</emph>
              .</note>
            ni, æqualem habens; </s>
            <s xml:id="echoid-s917" xml:space="preserve">ſitque F G H E faſciola, ſeu
              <lb/>
            potius bractea tenuis, affixa regulæ in F, cylindro verò in
              <lb/>
            circumferentiæ puncto aliquo E, ita ut partim huic circum-
              <lb/>
            voluta ſit, partim extendatur juxta latus regulæ A B. </s>
            <s xml:id="echoid-s918" xml:space="preserve">Cy-
              <lb/>
            lindro autem infixa ſit ferrea cuſpis D I, pauxillum ultra
              <lb/>
            baſin inferiorem prominens, atque ita ut circumferentiæ ejus
              <lb/>
            exacte reſpondeat.</s>
            <s xml:id="echoid-s919" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s920" xml:space="preserve">His ita ſe habentibus, ſi cylindrus ſecundum regulam A B
              <lb/>
            volvatur, bracteolæ tantum F G craſſitudine intercedente,
              <lb/>
            eâque ſemper quantum poteſt extensâ, deſcribet cuſpis I in
              <lb/>
            ſubjecto tabulæ plano lineam curvam K I, quæ Cyclois vo-
              <lb/>
            catur. </s>
            <s xml:id="echoid-s921" xml:space="preserve">Circulus vero genitor erit C D E, cylindri adhibiti
              <lb/>
            baſis. </s>
            <s xml:id="echoid-s922" xml:space="preserve">Quod ſi jam laminam K L ad regulam A B appli-
              <lb/>
            cuerimus; </s>
            <s xml:id="echoid-s923" xml:space="preserve">exaratâ primum in ea cycloidis portione K I, in-
              <lb/>
            vertemus deinde ipſam, & </s>
            <s xml:id="echoid-s924" xml:space="preserve">in ſuperficie adverſa ſimilem li-
              <lb/>
            neam K M, ab eodem puncto K egredientem, incidemus.
              <lb/>
            </s>
            <s xml:id="echoid-s925" xml:space="preserve">Tum figuram M K I, accurate ſecundum lineas iſtas, ef-
              <lb/>
            formabimus, cui figuræ lamellarum interſtitium aptari opor-
              <lb/>
            tet, inter quas perpendiculum ſuſpenditur. </s>
            <s xml:id="echoid-s926" xml:space="preserve">Sufficiunt au-
              <lb/>
            tem ad horologiorum uſum portiones exiguæ arcuum K M,
              <lb/>
            K I; </s>
            <s xml:id="echoid-s927" xml:space="preserve">reliquo flexu inutili futuro, ad quem perpendiculi fi-
              <lb/>
            lum accedere non poteſt.</s>
            <s xml:id="echoid-s928" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s929" xml:space="preserve">Verum, ut mirabilis lineæ natura atque effectus plenius
              <lb/>
              <note position="left" xlink:label="note-0066-02" xlink:href="note-0066-02a" xml:space="preserve">TAB. III.
                <lb/>
              Fig. 2.</note>
            intelligantur, integras ſemicycloides K M, K I, alio ſche-
              <lb/>
            mate hic exprimere viſum fuit, inter quas ſuſpenſum agita-
              <lb/>
            tumque Pendulum K N P, diametri circuli genitoris du-
              <lb/>
            plum, cujuscunque amplitudinis oſcillationes, usque ad
              <lb/>
            maximam omnium per arcum M P I, iisdem temporibus
              <lb/>
            confecturum ſit: </s>
            <s xml:id="echoid-s930" xml:space="preserve">atque ita, ut appenſæ ſphæræ P centrum,
              <lb/>
            in linea M P I, quæ & </s>
            <s xml:id="echoid-s931" xml:space="preserve">ipſa cyclois integra eſt, ſemper
              <lb/>
            verſetur. </s>
            <s xml:id="echoid-s932" xml:space="preserve">Quæ proprietas inſignis, neſcio an alii præter hanc
              <lb/>
            lineæ data ſit, ut nempe ſe ipſam ſui evolutione deſcribat.
              <lb/>
            </s>
            <s xml:id="echoid-s933" xml:space="preserve">Hæc autem quæ dicta ſunt, in ſequentibus, ubi de deſcen-
              <lb/>
            ſu gravium, deque evolutione curvarum agemus, ſingula
              <lb/>
            demonſtrabuntur.</s>
            <s xml:id="echoid-s934" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum