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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            mandata fuit, nemo quid protulit; </s>
            <s xml:id="echoid-s4897" xml:space="preserve">ſed conſiderata refutatione,
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            qua Abbas Catelanus 4
              <emph style="super">am</emph>
            . </s>
            <s xml:id="echoid-s4898" xml:space="preserve">meam propoſitionem aggreditur,
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            non vidi, quod ullatenus me feriat. </s>
            <s xml:id="echoid-s4899" xml:space="preserve">nam ut paucis di-
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            cam, in quo fallitur; </s>
            <s xml:id="echoid-s4900" xml:space="preserve">negat, datis duabus lineis & </s>
            <s xml:id="echoid-s4901" xml:space="preserve">præter
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            has, duabus aliis, quæ diverſam quam primæ inter ſe ratio-
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            nem habent, ſummam duarum ultimarum æqualem unquam
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            fore ſummæ duarum priorum.</s>
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            <s xml:id="echoid-s4903" xml:space="preserve">Concipe priores 5 & </s>
            <s xml:id="echoid-s4904" xml:space="preserve">10 pedum, & </s>
            <s xml:id="echoid-s4905" xml:space="preserve">alteras 3 & </s>
            <s xml:id="echoid-s4906" xml:space="preserve">12 & </s>
            <s xml:id="echoid-s4907" xml:space="preserve">vi-
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            de num harum ſumma æque ac illarum non ſit 15: </s>
            <s xml:id="echoid-s4908" xml:space="preserve">ut autem
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            pateat errorem ejus inde oriri, utar eodem, quod ille propo-
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            ſuit, exemplo.</s>
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            <s xml:id="echoid-s4910" xml:space="preserve">A & </s>
            <s xml:id="echoid-s4911" xml:space="preserve">B ſunt duo pondera applicata virgæ vel lineæ D B,
              <lb/>
              <note position="right" xlink:label="note-0301-01" xlink:href="note-0301-01a" xml:space="preserve">TAB. XXVIII.
                <lb/>
              Fig. 2.</note>
            quæ conſiderari debet ut inflexibilis & </s>
            <s xml:id="echoid-s4912" xml:space="preserve">ſine pondere; </s>
            <s xml:id="echoid-s4913" xml:space="preserve">quæ
              <lb/>
            libere notetur circa punctum D: </s>
            <s xml:id="echoid-s4914" xml:space="preserve">tale Pendulum compoſitum
              <lb/>
            voco e ponderibus A & </s>
            <s xml:id="echoid-s4915" xml:space="preserve">B; </s>
            <s xml:id="echoid-s4916" xml:space="preserve">ſi hoc peragat partem vibrationis,
              <lb/>
            Ex. </s>
            <s xml:id="echoid-s4917" xml:space="preserve">Gr. </s>
            <s xml:id="echoid-s4918" xml:space="preserve">usque ad D F G, & </s>
            <s xml:id="echoid-s4919" xml:space="preserve">occurrat plano, ad quod
              <lb/>
            frangatur, ut pondera a lineâ inflexili ſeparentur, & </s>
            <s xml:id="echoid-s4920" xml:space="preserve">tendat
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            ſurſum eorum unumquodque cum velocitate acquiſita, ad
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            maximam quam poteſt altitudinem, velut ad L & </s>
            <s xml:id="echoid-s4921" xml:space="preserve">M, ſuper
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            planis inclinatis ſi velimus, quæ tangant arcus A F, B G;
              <lb/>
            </s>
            <s xml:id="echoid-s4922" xml:space="preserve">dico commune centrum gravitatis ponderum A & </s>
            <s xml:id="echoid-s4923" xml:space="preserve">B quæ aſcen-
              <lb/>
            dunt in L & </s>
            <s xml:id="echoid-s4924" xml:space="preserve">M tunc ad eandem fore altitudinem, ac erat
              <lb/>
            in E, ante vibrationem inchoatam.</s>
            <s xml:id="echoid-s4925" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4926" xml:space="preserve">Abbas Catelanus ut falſam hanc probet propoſitionem,
              <lb/>
            demonſtrat, altitudines, ad quas duo pondera ſoluta aſcen-
              <lb/>
            dunt, ut hic N L, O M, diverſas eſſe ab iis unde de-
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            ſcenderunt, ſcilicet A H, B I. </s>
            <s xml:id="echoid-s4927" xml:space="preserve">id quod veriſſimum eſt ex ra-
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            tione ab ipſo datâ, quod alteræ ſint inter ſe ut lineæ D F,
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            D G, alteræ vero ut quadrata harum linearum; </s>
            <s xml:id="echoid-s4928" xml:space="preserve">ſi ergo divi-
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            damus, inquit diverſas illas ſummas per numerum illorum
              <lb/>
            ponderum, id eſt, ſi ſumamus dimidium linearum L N, M O,
              <lb/>
            & </s>
            <s xml:id="echoid-s4929" xml:space="preserve">dimidium linearum A H, B I. </s>
            <s xml:id="echoid-s4930" xml:space="preserve">habebimus ab una parte al-
              <lb/>
            titudinem ad quam centrum commune gravitatis aſcendit, & </s>
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              <lb/>
            ab altera altitudinem unde deſcendit: </s>
            <s xml:id="echoid-s4932" xml:space="preserve">id verum eſt, per divi-
              <lb/>
            ſionem has duas altitudines detegi. </s>
            <s xml:id="echoid-s4933" xml:space="preserve">ſed minime concedo, duas
              <lb/>
            ſummas diviſas differre inter ſe; </s>
            <s xml:id="echoid-s4934" xml:space="preserve">quod Abbas Catelanus </s>
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