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

Table of contents

< >
[161.] IX.
[163.] XI.
[164.] XII.
[165.] FINIS.
[166.] EXCERPTA EX LITERIS DATIS LONDINI {13/23} JANUARII MDCLXV.
[167.] EXCERPTA EX LITERIS HAGÆ CO-MITUM, DIE XXVI. FEBRUAR MDCLXV. DATIS.
[168.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA.
[169.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA. I. Obſervationes Abbatis Catelani in propoſitio-nem, quæ fundamentum eſt 4æ. partis tra-ctatus de Pendulis, Hugenii.
[170.] II. Domini Abbatis Catelani Examen Ma-thematicum Centri Oſcillationis.
[171.] MONITUM.
[172.] III. Excerpta ex literis Domini Hugenii, quibus re-ſpondet obſervationi Abbatis Catelani in 4am. pro-poſitionem Tractatus de centris Oſcillationis.
[173.] IV. Exceptio Abbatis Catelani ad reſponſionem Hugenii.
[174.] V. Objectio Abbatis Catelani contra motum Pendulorum in Cycloidibus.
[175.] VI. Reſponſio ad objectiones Hugenii adverſus me-thodum Abbatis Catelani de determinan-do Centro Oſcillationis.
[176.] VII. Excerpta ex litteris D. Bernoullii datis Baſileæ ad Autorem Diarii Pariſienſis, de Controverſia, inter Abbatem Catelanum & Hugenium, de Centro Oſcillationis.
[177.] VIII. Excerpta ex literis Dni. Hugenii ad Auctores Diarii Pariſienſis, datis Hagæ 8. Funii 1684. quæ continent ejus reſponſionem ad exceptio-nem Dni. Abbatis Catelani, de cen-tro Oſcillationis.
[178.] IX. Reſponſio Dni. Abbatis Catelani ad literas Dni. Bernoulli de Controverſia ſua cum Dno. Hu-genio de centro Oſcillationis .
[179.] X. Dn. Bernouillii narratio controverſiæ inter Dn. Hugenium & Abbatem Catelanum agitatæ de Centro Oſcillationis, quæ loco Anim-adverſionis eſſe poterit in Reſpon-ſionem Dn. Catelani. Excerpta ex Litteris Dn. Bernoullii Lipſiam miſſis.
[180.] XI. Litteræ Dni Marchionis de l’Hôpital ad Dum Huge-nium, in quibus contendit, ſeregulam hujus Au-ctoris de Centro oſcillationis penduli compoſiti demonſtrare per cauſam Phyſicam, & re-ſpondere ſimul Dno Bernoulli.
[181.] XII. Obſervationes Dni Hugenii in liter as præcedentes & in relationem Dni Bernoulli, cujus in iis fit mentio.
[182.] FINIS.
[183.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM.
[184.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM. I. Excerpta ex Literis Domini Hugenii, novam quan-dam Inventionem Horologiorum exactiſſino-rum ac portatilium concernentibus.
[185.] II. Nova Libella, Teleſcopio inſtructa, propriam ſecum ferens probationem, & quæ in unica ſtatione verificatur, & rectificatur.
[186.] Rectificationis Libellæ Demonſtratio.
[187.] III. Aſtroſcopia Compendiaria, Tubi Optici molimine liberata.
[188.] AUCTARIUM.
[189.] IV. Excerpta ex literis Dni Hugenii de novâ methodo conſtruendi Barometrum.
[190.] V. Nova vis movens mediante pulvere nitrato & aëre.
< >
page |< < (178) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div368" type="section" level="1" n="130">
          <p>
            <s xml:id="echoid-s4028" xml:space="preserve">
              <pb o="178" file="0254" n="280" rhead="CHRISTIANI HUGENII"/>
            eſt. </s>
            <s xml:id="echoid-s4029" xml:space="preserve">Fit enim hoc modo, ex motus natura, ut eandem per-
              <lb/>
              <note position="left" xlink:label="note-0254-01" xlink:href="note-0254-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            petuo poſitionem, reſpectu horizontalis plani, ſphæra pen-
              <lb/>
            duli ſervet, atque ita puncta ejus quævis, æque ac cen-
              <lb/>
            trum ipſum, cycloides eaſdem percurrant. </s>
            <s xml:id="echoid-s4030" xml:space="preserve">Unde ceſſat hic
              <lb/>
            jam centrorum oſcillationis conſideratio; </s>
            <s xml:id="echoid-s4031" xml:space="preserve">nec minus perfectam
              <lb/>
            temporum æqualitatem tale pendulum conſequitur, quam ſi
              <lb/>
            puncto unico omnis ejus gravitas contineretur.</s>
            <s xml:id="echoid-s4032" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div370" type="section" level="1" n="131">
          <head xml:id="echoid-head157" xml:space="preserve">PROPOSITIO XXV.</head>
          <p style="it">
            <s xml:id="echoid-s4033" xml:space="preserve">DE menſuræ univerſalis, & </s>
            <s xml:id="echoid-s4034" xml:space="preserve">perpetuæ, conſti-
              <lb/>
            tuendæ ratione.</s>
            <s xml:id="echoid-s4035" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4036" xml:space="preserve">Certa, ac permanens magnitudinum menſura, quæ nullis
              <lb/>
            caſibus obnoxia ſit, nec temporum injuriis, aut longinquita-
              <lb/>
            te aboleri aut corrumpi poſſit, res eſt & </s>
            <s xml:id="echoid-s4037" xml:space="preserve">utiliſſima, & </s>
            <s xml:id="echoid-s4038" xml:space="preserve">à
              <lb/>
            multis pridem quæſita. </s>
            <s xml:id="echoid-s4039" xml:space="preserve">Quæ ſi priſcis temporibus reperta
              <lb/>
            fuiſſet, non tam perplexæ nunc forent, de pedis Romani,
              <lb/>
            Græci, Hebræique veteris modulo, diſceptationes. </s>
            <s xml:id="echoid-s4040" xml:space="preserve">Hæc ve-
              <lb/>
            ro menſura, Horologii noſtri opera, facile conſtituitur; </s>
            <s xml:id="echoid-s4041" xml:space="preserve">cum
              <lb/>
            ſine illo nequaquam, aut ægre admodum, haberi poſſit. </s>
            <s xml:id="echoid-s4042" xml:space="preserve">Etſi
              <lb/>
            enim, ſimplici pendulorum oſcillatione, hoc à quibuſdam
              <lb/>
            tentatum fuerit, numerando recurſus qui tota cæli conver-
              <lb/>
            ſione continentur, vel parte ejus cognita, per fixarum ſtel-
              <lb/>
            larum diſtantias, ſecundum aſcenſionem rectam; </s>
            <s xml:id="echoid-s4043" xml:space="preserve">nec certi-
              <lb/>
            tudo eadem hoc modo, quæ adhibitis horologiis, contingit,
              <lb/>
            & </s>
            <s xml:id="echoid-s4044" xml:space="preserve">labor longe eſt moleſtiſſimus ac tædioſiſſimus, propter
              <lb/>
            numerandi ſolicitudinem. </s>
            <s xml:id="echoid-s4045" xml:space="preserve">Quia autem, præter horologia,
              <lb/>
            aliquid, ad exactiſſimam hujus menſuræ inquiſitionem,
              <lb/>
            etiam centrorum oſcillationis notitia confert; </s>
            <s xml:id="echoid-s4046" xml:space="preserve">ideo hic de-
              <lb/>
            mum, poſt eorum tractationem, hanc determinationem ſub-
              <lb/>
            jicimus.</s>
            <s xml:id="echoid-s4047" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4048" xml:space="preserve">Aptiſſima huic rei ſunt horologia, quorum oſcillationes
              <lb/>
            ſingulæ ſecunda ſcrupula, vel eorum ſemiſſes, notant, quæ-
              <lb/>
            que indicibus etiam, ad ea demonſtranda, inſtructa ſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s4049" xml:space="preserve">Poſtquam enim, ad mediocrem dierum longitudinem, </s>
          </p>
        </div>
      </text>
    </echo>