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

Table of contents

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[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.
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            <s xml:id="echoid-s4934" xml:space="preserve">
              <pb o="224" file="0302" n="329" rhead="DE CENTRO OSCILL."/>
            bare nequit; </s>
            <s xml:id="echoid-s4935" xml:space="preserve">neque igitur, duas inventas altitudines centri
              <lb/>
            gravitatis inæquales eſſe, id quod in concluſione contendit,
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            nam licet altitudines L N, M O, diverſam habeant rationem
              <lb/>
            inter ſe quam altitudines A H, B I, non ſequitur ſummas
              <lb/>
            primarum & </s>
            <s xml:id="echoid-s4936" xml:space="preserve">ſecundarum differre.</s>
            <s xml:id="echoid-s4937" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4938" xml:space="preserve">Poſſem præter hunc alium locum obſervare, ubi fallitur
              <lb/>
            Abbas Catelanus, ſed non hærebo, quoniam id, quod pro-
              <lb/>
            fert non ſpectat ea quibus me aggreditur. </s>
            <s xml:id="echoid-s4939" xml:space="preserve">Unicum verbum
              <lb/>
            addam de examine ejus Mathematico, ut vocat, de centro
              <lb/>
            Oſcillationis edito in diario 15. </s>
            <s xml:id="echoid-s4940" xml:space="preserve">Dec. </s>
            <s xml:id="echoid-s4941" xml:space="preserve">1681. </s>
            <s xml:id="echoid-s4942" xml:space="preserve">ubi contendit ſe
              <lb/>
            inveniſſe regulam hanc generalem, ſcilicet, per nume-
              <lb/>
            rum partium Penduli dividi debere ſummam radicum diſtan-
              <lb/>
            tiarum partium ab axe; </s>
            <s xml:id="echoid-s4943" xml:space="preserve">ut habeamus lineam rectam, quæ ſit
              <lb/>
            menſura temporis quo vibrationem peragit illud Pendulum,
              <lb/>
            cujus conſequenter quadratum vel 3
              <emph style="super">a</emph>
            . </s>
            <s xml:id="echoid-s4944" xml:space="preserve">proportionalis erit di-
              <lb/>
            ſtantia inter axem & </s>
            <s xml:id="echoid-s4945" xml:space="preserve">centrum Oſcillationis.</s>
            <s xml:id="echoid-s4946" xml:space="preserve"/>
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          <note position="left" xml:space="preserve">TAB. XXVIII.
            <lb/>
          Fig. 3.</note>
          <p>
            <s xml:id="echoid-s4947" xml:space="preserve">Relicto omni peculiari examine, ſatis erit ad vitium re-
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            gulæ detegendum, notaſſe, juxta hoc principium, duas li-
              <lb/>
            neas graves ut A B, B C, junctas & </s>
            <s xml:id="echoid-s4948" xml:space="preserve">inter ſe angulum quem-
              <lb/>
            cunque efficientes, ſuſpenſas in B ſemper idem Oſcillatio-
              <lb/>
            nis centrum habere; </s>
            <s xml:id="echoid-s4949" xml:space="preserve">ideoque vibrationes ſemper fore æque ve-
              <lb/>
            loces, uti facile intelligunt hi, qui in hiſce materiis parum ſunt
              <lb/>
            verſati; </s>
            <s xml:id="echoid-s4950" xml:space="preserve">ſed & </s>
            <s xml:id="echoid-s4951" xml:space="preserve">illi videbunt, quod æqualitas illa vibratio-
              <lb/>
            num locum habere nequeat, quoniam augendo angulo tan-
              <lb/>
            dem duæ lineæ ſimul junctæ unicam efficiunt rectam a B c,
              <lb/>
            cujus vibrationes forent æque diuturnæ cum vibrationibus
              <lb/>
            anguli A B C, linea vero recta in puncto medio ſuſpenſa,
              <lb/>
            nullas peragit vibrationes, aut ſaltem velocitate infinite exi-
              <lb/>
            gua movetur.</s>
            <s xml:id="echoid-s4952" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4953" xml:space="preserve">Porro credo Abbati Catelano ſatis difficile fore, ſuâ regulâ,
              <lb/>
            centrum Oſcillationis in quibusvis particularibus figuris, etiam
              <lb/>
            ſimpliciſſimis, determinate, ſed, ſi id forte perficiat, inveniet,
              <lb/>
            ſuam Theoriam cum experientiâ nunquam convenire, & </s>
            <s xml:id="echoid-s4954" xml:space="preserve">
              <lb/>
            meam ſemper ſummâ exactitudine eidem reſpondere, ſi mo-
              <lb/>
            do experimenta exactiſſimè inſtituta fuerint.</s>
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          <p>
            <s xml:id="echoid-s4956" xml:space="preserve">Non poſſum hac occaſione ſilentio præterire, P. </s>
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