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

Table of contents

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[161.] IX.
Page: 314 (209)
[162.] X.
Page: 314 (209)
[163.] XI.
Page: 315 (210)
[164.] XII.
Page: 315 (210)
[165.] FINIS.
Page: 316 (211)
[166.] EXCERPTA EX LITERIS DATIS LONDINI {13/23} JANUARII MDCLXV.
Page: 316 (211)
[167.] EXCERPTA EX LITERIS HAGÆ CO-MITUM, DIE XXVI. FEBRUAR MDCLXV. DATIS.
Page: 318 (213)
[168.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA.
Page: 320
[169.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA. I. Obſervationes Abbatis Catelani in propoſitio-nem, quæ fundamentum eſt 4æ. partis tra-ctatus de Pendulis, Hugenii.
Page: 322
[170.] II. Domini Abbatis Catelani Examen Ma-thematicum Centri Oſcillationis.
Page: 324 (219)
[171.] MONITUM.
Page: 327 (222)
[172.] III. Excerpta ex literis Domini Hugenii, quibus re-ſpondet obſervationi Abbatis Catelani in 4am. pro-poſitionem Tractatus de centris Oſcillationis.
Page: 327 (222)
[173.] IV. Exceptio Abbatis Catelani ad reſponſionem Hugenii.
Page: 330 (225)
[174.] V. Objectio Abbatis Catelani contra motum Pendulorum in Cycloidibus.
Page: 332 (227)
[175.] VI. Reſponſio ad objectiones Hugenii adverſus me-thodum Abbatis Catelani de determinan-do Centro Oſcillationis.
Page: 333 (228)
[176.] VII. Excerpta ex litteris D. Bernoullii datis Baſileæ ad Autorem Diarii Pariſienſis, de Controverſia, inter Abbatem Catelanum & Hugenium, de Centro Oſcillationis.
Page: 335 (230)
[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.
Page: 337 (232)
[178.] IX. Reſponſio Dni. Abbatis Catelani ad literas Dni. Bernoulli de Controverſia ſua cum Dno. Hu-genio de centro Oſcillationis .
Page: 340 (235)
[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.
Page: 342 (237)
[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.
Page: 347 (242)
[181.] XII. Obſervationes Dni Hugenii in liter as præcedentes & in relationem Dni Bernoulli, cujus in iis fit mentio.
Page: 351 (246)
[182.] FINIS.
Page: 353 (248)
[183.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM.
Page: 357
[184.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM. I. Excerpta ex Literis Domini Hugenii, novam quan-dam Inventionem Horologiorum exactiſſino-rum ac portatilium concernentibus.
Page: 359
[185.] II. Nova Libella, Teleſcopio inſtructa, propriam ſecum ferens probationem, & quæ in unica ſtatione verificatur, & rectificatur.
Page: 360 (254)
[186.] Rectificationis Libellæ Demonſtratio.
Page: 364 (258)
[187.] III. Aſtroſcopia Compendiaria, Tubi Optici molimine liberata.
Page: 367 (261)
[188.] AUCTARIUM.
Page: 385 (273)
[189.] IV. Excerpta ex literis Dni Hugenii de novâ methodo conſtruendi Barometrum.
Page: 388 (276)
[190.] V. Nova vis movens mediante pulvere nitrato & aëre.
Page: 395 (280)
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          <p>
            <s xml:id="echoid-s4872" xml:space="preserve">
              <pb o="222" file="0300" n="327" rhead="DE CENTRO OSCILL."/>
            inter ſe ſuperficies. </s>
            <s xml:id="echoid-s4873" xml:space="preserve">& </s>
            <s xml:id="echoid-s4874" xml:space="preserve">ad axem perpendiculares; </s>
            <s xml:id="echoid-s4875" xml:space="preserve">formari debet, ſecun-
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            dâ ſectione, planum vel ſuperficies curva diſtantiarum inter il-
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            lorum centra Oſcillationis & </s>
            <s xml:id="echoid-s4876" xml:space="preserve">axem †, circa cujus puncta mo-
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            ventur. </s>
            <s xml:id="echoid-s4877" xml:space="preserve">Sic in ſummâ centrorum, quæ ab unâ parte rectas lineas ter-
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            minant, ex quibus planum hoc, vel ſuperficies illa curva, compoſita
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            eſt, habetur Pendulum magis ſimplex quam ſolidum, & </s>
            <s xml:id="echoid-s4878" xml:space="preserve">cujus vibra-
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            tio æque diuturna eſt. </s>
            <s xml:id="echoid-s4879" xml:space="preserve">Centrum Oſcillationis novi illius Penduli de-
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            terminabitur transferendo omnia illa centra Oſcillationis particularia
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            ad Axem qui eſt eorum numerus, & </s>
            <s xml:id="echoid-s4880" xml:space="preserve">ponendo illum axem ita mo-
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            veri, ut puncta ejus percurrant eosdem arcus ac centra. </s>
            <s xml:id="echoid-s4881" xml:space="preserve">Si ſoli-
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            da propoſita ſint Prismata recta, habebunt eadem Oſcil-
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            lationis centra, ac eorum baſes, ſi hæ fuerint perpendicula-
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            res ad axem.</s>
            <s xml:id="echoid-s4882" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4883" xml:space="preserve">Sic centrum Oſcillationis ſolidi pendet a centris Oſcillationis certa-
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            rum ſuperficierum motarum circa punctum, quarum commune O-
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            ſcillationis centrum eſt centrum Oſcillationis lineæ rectæ motæ circa
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            aliam rectam vel curvam; </s>
            <s xml:id="echoid-s4884" xml:space="preserve">ita ut non requirantur aliæ regulæ pro cor-
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            poribus quam pro lineis & </s>
            <s xml:id="echoid-s4885" xml:space="preserve">ſuperficiebus.</s>
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            <emph style="sp">MONITUM.</emph>
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          <p style="it">
            <s xml:id="echoid-s4887" xml:space="preserve">Obſervationes Abbatis Catelani primum editæ fuere in
              <lb/>
            25 diario Pariſienſi anni 1681, & </s>
            <s xml:id="echoid-s4888" xml:space="preserve">examen Mathematicum in
              <lb/>
            29 diario ejusdem anni. </s>
            <s xml:id="echoid-s4889" xml:space="preserve">Scripta ambo in primo diario
              <lb/>
            ſequentis anni iterum extant, cum monitu varia defici in
              <lb/>
            prima editione, quam ſolam Hugenius viderat cum reſpon-
              <lb/>
            dit; </s>
            <s xml:id="echoid-s4890" xml:space="preserve">& </s>
            <s xml:id="echoid-s4891" xml:space="preserve">in qua non reperiuntur ea quæ minori charactere hic
              <lb/>
            edita ſunt. </s>
            <s xml:id="echoid-s4892" xml:space="preserve">Sola verba ſequentia in prima dantur & </s>
            <s xml:id="echoid-s4893" xml:space="preserve">in ſe-
              <lb/>
            cunda fuere omiſſa poſt †. </s>
            <s xml:id="echoid-s4894" xml:space="preserve">centrum Oſcillationis hujus plani
              <lb/>
            coincidet cum centro Oſcillationis ſolidorum illorum.</s>
            <s xml:id="echoid-s4895" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div427" type="section" level="1" n="172">
          <head xml:id="echoid-head209" xml:space="preserve">III.</head>
          <head xml:id="echoid-head210" style="it" xml:space="preserve">Excerpta ex literis Domini Hugenii, quibus re-
            <lb/>
          ſpondet obſervationi Abbatis Catelani in 4
            <emph style="super">am</emph>
          . pro-
            <lb/>
          poſitionem Tractatus de centris Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s4896" xml:space="preserve">ADmiratus vidi, Theoriam meam de centro Oſcillationis
              <lb/>
            oppugnari, contra quam per 9 annos, a quibus </s>
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