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

Table of contents

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[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)
[191.] VI. Demonſtratio Æquilibrii bilancis.
Page: 397 (282)
[192.] VII. De potentiis fila funesve trahentibus.
Page: 405 (287)
[193.] VIII. Solitio problematis a G G. Leibnitio propoſiti in diario (cui titulus Nouvelles de la Republi-que des Lettres) menſis Sept. 1687. PROBLEMA.
Page: 408 (290)
[194.] Solutio.
Page: 408 (290)
[195.] IX. Chriſtiani Hugenii, Solutio Problematis de linea in quam flexile ſe pondere pro-prio curvat.
Page: 409 (291)
[196.] X. Hugenii Annotationes in librum Pariſiis 1689. editum, de Manuaria Nautica.
Page: 410 (292)
[197.] XI. Reſponſum Dni Renaldi ad Dominum Hugenium.
Page: 414 (296)
[198.] XII. Exceptio Dni Hugenii ad Reſponſum Dni Renaldi.
Page: 423 (305)
[199.] FINIS.
Page: 426 (308)
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          <p>
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              <pb o="225" file="0303" n="330" rhead="CONTROVERSIA."/>
            in quodam magni ſui Curſus Mathematici loco, memorando
              <lb/>
            experimentum cum Pendulo compoſito ex duobus ponderi-
              <lb/>
            bus inſtitutum, in quo computans rationem non habuit
              <lb/>
            (ut debebat) ponderis baculi, cui pondera erant applicata,
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            immerito regulas noſtras de determinando centro gravitatis
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            culpare, quaſi non convenirent cum iis quæ ille revera obſer-
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            varat.</s>
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          <head xml:id="echoid-head211" xml:space="preserve">IV.</head>
          <head xml:id="echoid-head212" style="it" xml:space="preserve">Exceptio Abbatis Catelani ad reſponſionem
            <lb/>
          Hugenii.</head>
          <p>
            <s xml:id="echoid-s4959" xml:space="preserve">NOn debebat Hugenius a ſuo principio ſeparare conſe-
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            quentiam, ut hanc aliter intelligat, quam ego in ſcri-
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            ptis meis. </s>
            <s xml:id="echoid-s4960" xml:space="preserve">Prorſus deberem oblitus eſſe Arithmetices, ſi ab-
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            ſolute negarem, ut me facere contendit, quod 4 magnitudi-
              <lb/>
            nes inæquales poſſint efficere 2 ſummas æquales, quum nil a-
              <lb/>
            liud concludo in ſcriptis, præterquam quod propoſitio Hu-
              <lb/>
            genii vera eſſe nequeat, niſi pars ſit æqualis toti. </s>
            <s xml:id="echoid-s4961" xml:space="preserve">Ut hoc
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            melius pateat, debemus hic proferre propoſitionem illam ge-
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            neralem propriis terminis.</s>
            <s xml:id="echoid-s4962" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4963" xml:space="preserve">Si Pendulum e pluribus ponderibus compoſitum, at que e quie-
              <lb/>
            te demiſſum, partem quamcunque Oſcillationis integræ confece-
              <lb/>
            rit, atque inde porro intelligantur pondera ejus ſingula, reli-
              <lb/>
            cto communi vinculo, celeritates acquiſitas ſurſum convertere,
              <lb/>
            ac quousque poſſunt aſcendere; </s>
            <s xml:id="echoid-s4964" xml:space="preserve">hoc facto, centrum gravitatis
              <lb/>
            ex omnibus compoſitæ, ad eandem altitudinem reverſum erit,
              <lb/>
            quam ante inceptam Oſcillationem obtinebat.</s>
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          </p>
          <p>
            <s xml:id="echoid-s4966" xml:space="preserve">Cum hæc propoſitio terminis generaliſſimis concepta ſit,
              <lb/>
            ita ut numerus ponderum, ſitus eorum, duratio Vibrationis,
              <lb/>
            ipſam non mutent, pono, Exempli cauſâ, Pendulum compoſi-
              <lb/>
            tum e ponderibus duo bus æqualibus, & </s>
            <s xml:id="echoid-s4967" xml:space="preserve">inter ſe ad quam li-
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            buerit a ſe invicem diſtantiam junctis. </s>
            <s xml:id="echoid-s4968" xml:space="preserve">Conſidero porro al-
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            titudines, quæ ſunt proportionales quadratis velocitatum in
              <lb/>
            duobus Pendulis ſimplicibus, eſſe inter ſe ut velocitates </s>
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