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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            <s xml:id="echoid-s5032" xml:space="preserve">Demonſtrare potero in ſequentibus, non adeo difficile eſſe,
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            ut quidem Hugenio videtur, accommodare illud Principium
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            ad particulares magnitudinum Geometricarum ſpecies ſuſpen-
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            ſarum ex Axe vel puncto.</s>
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            <s xml:id="echoid-s5034" xml:space="preserve">Quod ad experimenta attinet, paratus ſum demonſtrare hæc
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            ita non poſſe inſtitui, ut perfecte conveniant cum regulis ſim-
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            plicibus & </s>
            <s xml:id="echoid-s5035" xml:space="preserve">generalibus, quæ deducuntur e principiis Mathe-
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            maticis, eandem ob cauſam ob quam generalis regula, ſta-
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            biliri nequit, certa, & </s>
            <s xml:id="echoid-s5036" xml:space="preserve">conſtans, in caſibus particularibus, qui
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            dependent a pluribus cauſis, non exacte notis.</s>
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          <head xml:id="echoid-head217" xml:space="preserve">VII.</head>
          <head xml:id="echoid-head218" style="it" xml:space="preserve">Excerpta ex litteris D. Bernoullii datis Baſileæ ad
            <lb/>
          Autorem Diarii Pariſienſis, de Controverſia,
            <lb/>
          inter Abbatem Catelanum & Hugenium,
            <lb/>
          de Centro Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s5038" xml:space="preserve">QUum nondum obſervaverim, Hugenium reſpondiſſe, ad
              <lb/>
            exceptionem Abbatis Catelani, quæ ſpectabat primariam
              <lb/>
            ejus de centro Oſcillationis propoſitionem, te haud
              <lb/>
            ægre laturum credo, ſi verbulum ad ejus defenſionem ad te
              <lb/>
            ſcribam. </s>
            <s xml:id="echoid-s5039" xml:space="preserve">Quicquid D. </s>
            <s xml:id="echoid-s5040" xml:space="preserve">Catelanus diſputat, eo redit ut probet,
              <lb/>
            ſummam radicum duarum magnitudinum quarumvis non poſſe
              <lb/>
            in duas partes ita dividi, ut proportionales ſint ad magnitu-
              <lb/>
            dines datas, utque ſumma quadratorum ipſorum ſit æqualis
              <lb/>
            ſummæ magnitudinum. </s>
            <s xml:id="echoid-s5041" xml:space="preserve">Id vero neutiquam in dubium ab
              <lb/>
            Hugenio vocatur, qui tantum affirmat, ſummam harum ma-
              <lb/>
            gnitudinum poſſe eſſe æqualem ſummæ duarum aliarum, quæ
              <lb/>
            quadratis priorum proportionales ſunt. </s>
            <s xml:id="echoid-s5042" xml:space="preserve">Quod & </s>
            <s xml:id="echoid-s5043" xml:space="preserve">veritati con-
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            ſonum eſt.</s>
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          <p>
            <s xml:id="echoid-s5045" xml:space="preserve">Atque ut oſtendam, controverſiæ omnis cardinem hic
              <lb/>
            verti, utar eodem exemplo de duobus ponderibus æquali-
              <lb/>
            bus, & </s>
            <s xml:id="echoid-s5046" xml:space="preserve">quidem poſitis numeris, ut veritates hæ abſtractæ
              <lb/>
            ſenſui magis obviæ fiant.</s>
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