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

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              <pb o="235" file="0313" n="340" rhead="CONTROVERSIA."/>
            ſecundum ejus principium, ſumma illorum temporum, quæ
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            eſt tria, diviſa per duo, numerum partium, erit tempus
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            Penduli compoſiti, ſcilicet {3/2}. </s>
            <s xml:id="echoid-s5152" xml:space="preserve">Hiſce poſitis, nil præterea po-
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            nendo præter id quod concedit D
              <emph style="super">us</emph>
            . </s>
            <s xml:id="echoid-s5153" xml:space="preserve">Abbas, deteguntur alti-
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            tudines, ad quas revertuntur pondera, poſtquam a Pendulo
              <lb/>
            compoſito ſunt ſejuncta; </s>
            <s xml:id="echoid-s5154" xml:space="preserve">nempe {4/9} & </s>
            <s xml:id="echoid-s5155" xml:space="preserve">{64/9}; </s>
            <s xml:id="echoid-s5156" xml:space="preserve">quarum ſumma {68/9},
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            diviſa per duo, numerum ponderum, dat {34/9}, vel 3{7/9}, alti-
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            tudinem, ad quam adſcendit commune gravitatis centrum,
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            quæ etiam ſuperat {5/2} vel 2{1/2} unde demonſtravimus centrum
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            deſcendiſſe. </s>
            <s xml:id="echoid-s5157" xml:space="preserve">Non addo methodum computationis quæ facilis
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            eſt. </s>
            <s xml:id="echoid-s5158" xml:space="preserve">D
              <emph style="super">nus</emph>
            . </s>
            <s xml:id="echoid-s5159" xml:space="preserve">Abbas ergo dum quærit principium bis male divi-
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            navit; </s>
            <s xml:id="echoid-s5160" xml:space="preserve">proprie enim divinare eſt, ratiocinia deducere ex
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            principiis, quæ levem tantum veri ſpeciem præ ſe ferunt;
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            </s>
            <s xml:id="echoid-s5161" xml:space="preserve">& </s>
            <s xml:id="echoid-s5162" xml:space="preserve">verum eſſet, quæſtionem de centro Oſcillationis non dif-
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            ficulter reſolvi, ſi, ut ipſe fecit, tantum ponendum foret id,
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            quod ſtatim rem quæſitam determinat.</s>
            <s xml:id="echoid-s5163" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s5164" xml:space="preserve">De cætero, contraria eſſe inter ſe ambo principia clarum
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            eſt; </s>
            <s xml:id="echoid-s5165" xml:space="preserve">quoniam ut patet, ex his diverſæ ſequuntur concluſio-
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            nes, altitudines enim, ad quas centrum commune gravitatis
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            aſcendit, diverſæ ex utroque deteguntur, nempe 3 {3/50}, 3 {7/9}.</s>
            <s xml:id="echoid-s5166" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s5167" xml:space="preserve">Unum hoc addam, ut reſpondeam difficultati, quam D
              <emph style="super">nus</emph>
            . </s>
            <s xml:id="echoid-s5168" xml:space="preserve">Ab-
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            bas propoſuit, contra motum in Cycloide , hanc
              <note symbol="*" position="right" xlink:label="note-0313-01" xlink:href="note-0313-01a" xml:space="preserve">Vide ſu-
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              pra pag. 227.</note>
            tem ſolutam dari in ipſo meo tractatu de centro Oſcillationis
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            in cujus propoſitione 24 explicavi, quomodo efficiqueat, ut
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            omnia ponderum Penduli puncta moveantur in Cycloidibus
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            æqualibus; </s>
            <s xml:id="echoid-s5169" xml:space="preserve">licet in praxi minime neceſſaria ſit correctio hæc.</s>
            <s xml:id="echoid-s5170" xml:space="preserve"/>
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        <div xml:id="echoid-div436" type="section" level="1" n="178">
          <head xml:id="echoid-head221" xml:space="preserve">IX.</head>
          <head xml:id="echoid-head222" style="it" xml:space="preserve">Reſponſio D
            <emph style="super">ni</emph>
          . Abbatis Catelani ad literas D
            <emph style="super">ni</emph>
          .
            <lb/>
          Bernoulli de Controverſia ſua cum D
            <emph style="super">no</emph>
          . Hu-
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          genio de centro Oſcillationis .</head>
          <note symbol="*" position="right" xml:space="preserve">Vide ſu-
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          pra pag. 23@.</note>
          <p>
            <s xml:id="echoid-s5171" xml:space="preserve">UT reſpondeam ad has literas, idem repetam, quo utitur
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            D
              <emph style="super">nus</emph>
            . </s>
            <s xml:id="echoid-s5172" xml:space="preserve">Bernoulli, exemplum Penduli compoſiti ex pon-
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            deribus æqualibus eidem virgæ applicatis, & </s>
            <s xml:id="echoid-s5173" xml:space="preserve">ex eodem </s>
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