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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          <pb o="228" file="0306" n="333" rhead="DE CENTRO OSCILL."/>
          <p>
            <s xml:id="echoid-s5001" xml:space="preserve">Non tamen mihi animus eſt, hic abſolute oppugnare ſen-
              <lb/>
            tentiam illorum, qui credunt corpora gravia moveri, veluti
              <lb/>
            puncta, quæ in Cycloide, ad Horizontem perpendiculari,
              <lb/>
            peragunt ſuas Oſcillationes, temporibus æqualibus, a qua-
              <lb/>
            cunque dimittantur altitudine. </s>
            <s xml:id="echoid-s5002" xml:space="preserve">Contendo tantummodo, il-
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            lud nondum eſſe demonſtratum, niſi alterutrum horum pro-
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            betur, vel quod curvæ parallelæ Cycloidi eandem habent
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            proprietatem quantum ad motum corporum, licet non ſint
              <lb/>
            Cycloides, vel quod inæqualitas temporis, quod brevius eſt
              <lb/>
            in parallelis, interioribus & </s>
            <s xml:id="echoid-s5003" xml:space="preserve">Cycloide viciniores Axi, ita
              <lb/>
            moderetur contraria inæqualitate temporis, quod majus eſt
              <lb/>
            in parallelis exterioribus & </s>
            <s xml:id="echoid-s5004" xml:space="preserve">ipſâ curvâ remotioribus ab Axe,
              <lb/>
            ut compenſatio inæqualitatum ambarum in Cycloide detur,
              <lb/>
            quæ tanquam medium locum tenet inter omnes curvas ipſi
              <lb/>
            parallelas. </s>
            <s xml:id="echoid-s5005" xml:space="preserve">Geometræ hanc difficultatem examinabunt ſi di-
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            gnam ſuâ attentione judicent; </s>
            <s xml:id="echoid-s5006" xml:space="preserve">nec, niſi poſtquam eorum ſen-
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            tentiam novero, obſervationes meas hac de re dare potero.</s>
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        <div xml:id="echoid-div431" type="section" level="1" n="175">
          <head xml:id="echoid-head215" xml:space="preserve">VI.</head>
          <head xml:id="echoid-head216" style="it" xml:space="preserve">Reſponſio ad objectiones Hugenii adverſus me-
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          thodum Abbatis Catelani de determinan-
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          do Centro Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s5008" xml:space="preserve">HUgenius propoſuit objectionem adverſus propoſitionem
              <lb/>
            deductam ex principio, a me, ad determinandum Mathe-
              <lb/>
            matice centrum Oſcillationis Penduli, propoſito; </s>
            <s xml:id="echoid-s5009" xml:space="preserve">ſed de-
              <lb/>
            buit examinare id, quod præcedit locum, quem e ſcri-
              <lb/>
            ptis meis profert, nec generalem habere regulam ad
              <lb/>
            caſum particularem tantum accommodatam, quem elegi, ut
              <lb/>
            uterer exemplo ſimpliciſſimo & </s>
            <s xml:id="echoid-s5010" xml:space="preserve">facillimo; </s>
            <s xml:id="echoid-s5011" xml:space="preserve">ſcilicet quando
              <lb/>
            Pendula compoſita ſunt ex partibus, quæ deſcribunt arcus
              <lb/>
            ſimiles circa Axem, quocum faciunt idem planum; </s>
            <s xml:id="echoid-s5012" xml:space="preserve">tum
              <lb/>
            enim diſtantiæ ab illo Axe ſunt radii arcuum, qui habent
              <lb/>
            eandem inter ſe proportionem, ac perpendiculares ad Hori-
              <lb/>
            zontem, vel ſinus, qui ſunt altitudines, a quibus ſingulæ
              <lb/>
            partes in Oſcillatione deſcendunt. </s>
            <s xml:id="echoid-s5013" xml:space="preserve">Itaque cum Pendula, </s>
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