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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            H P ſunt æquales, ac æqualiter inclinatæ ad C I. </s>
            <s xml:id="echoid-s5613" xml:space="preserve">Ergo an-
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            guli M, P, trianguli M H P ſunt æquales; </s>
            <s xml:id="echoid-s5614" xml:space="preserve">aſt angulos H M O,
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            H P O etiam eſſe æquales certum eſt, nullo habito reſpectu
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            ad id, quod radiis O M, O P intra Teleſcopium accidit,
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            nec ſi vitri objectivi axis per hujus centrum transeat, id eſt,
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            an maximam ſuam in centro habeat craſſitudinem. </s>
            <s xml:id="echoid-s5615" xml:space="preserve">Anguli
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            igitur M, P, trianguli M O P ſimiliter æquales ſunt, & </s>
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            triangulum hoc eſt Iſosceles, uti M P H; </s>
            <s xml:id="echoid-s5617" xml:space="preserve">recta idcirco H O
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            ſecabit M P ad angulos rectos; </s>
            <s xml:id="echoid-s5618" xml:space="preserve">ſed M P parallela erat C I;
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            <s xml:id="echoid-s5619" xml:space="preserve">O H ergo perpendicularis eſt C I, & </s>
            <s xml:id="echoid-s5620" xml:space="preserve">idcirco punctum O
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            in eodem plano Horizontali cum centro H Teleſcopii, quod
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            probandum erat.</s>
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            <s xml:id="echoid-s5622" xml:space="preserve">Si nunc centrum vitri objectivi M, P, in utroque caſu
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            detur in eodem puncto ut S, recta H S perpendicularis erit
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            C I, quandoquidem anguli C H S, I H S tum æquales
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            ſint, propter Teleſcopii inverſionem, verum quia S O tendit
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            ad idem punctum O in ambabus ſuſpenſionibus, neceſſario
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            erit in eadem recta linea cum H S, ſi enim lineæ hæ angu-
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            lum conficerent, angulus iſte ſuperne in una ſuſpenſione eſ-
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            ſet dum in altera ſitum contrarium haberet, ſicque juxta
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            filum ad duo diſtincta puncta collinearemus, cum ad uni-
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            cum punctum id fieri poſuimus; </s>
            <s xml:id="echoid-s5623" xml:space="preserve">ſed integra igitur linea O S H
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            eſt perpendicularis ad C I, ideoque punctum O in eodem
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            datur plano Horizontali cum puncto H.</s>
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          <head xml:id="echoid-head237" style="it" xml:space="preserve">III.
            <lb/>
          Aſtroſcopia Compendiaria, Tubi Optici
            <lb/>
          molimine liberata.</head>
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            <s xml:id="echoid-s5625" xml:space="preserve">QUod pleriſque omnibus accidit novis inventis, ut, à par-
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            vis orta initiis, cura & </s>
            <s xml:id="echoid-s5626" xml:space="preserve">tractatione hominum auctiora fiant
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            ac perfectiora, id vel præcipue, in admirando illo pro-
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            ferendi viſus artificio, uſu veniſſe animadvertimus. </s>
            <s xml:id="echoid-s5627" xml:space="preserve">Notum
              <lb/>
            eſt enim quàm fuerit à prima origine tenue ac pene nihili,
              <lb/>
            cum rudimenta ejus quædam, in Portæ Neapolitani </s>
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