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

Table of contents

< >
[161.] IX.
[163.] XI.
[164.] XII.
[165.] FINIS.
[166.] EXCERPTA EX LITERIS DATIS LONDINI {13/23} JANUARII MDCLXV.
[167.] EXCERPTA EX LITERIS HAGÆ CO-MITUM, DIE XXVI. FEBRUAR MDCLXV. DATIS.
[168.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA.
[169.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA. I. Obſervationes Abbatis Catelani in propoſitio-nem, quæ fundamentum eſt 4æ. partis tra-ctatus de Pendulis, Hugenii.
[170.] II. Domini Abbatis Catelani Examen Ma-thematicum Centri Oſcillationis.
[171.] MONITUM.
[172.] III. Excerpta ex literis Domini Hugenii, quibus re-ſpondet obſervationi Abbatis Catelani in 4am. pro-poſitionem Tractatus de centris Oſcillationis.
[173.] IV. Exceptio Abbatis Catelani ad reſponſionem Hugenii.
[174.] V. Objectio Abbatis Catelani contra motum Pendulorum in Cycloidibus.
[175.] VI. Reſponſio ad objectiones Hugenii adverſus me-thodum Abbatis Catelani de determinan-do Centro Oſcillationis.
[176.] VII. Excerpta ex litteris D. Bernoullii datis Baſileæ ad Autorem Diarii Pariſienſis, de Controverſia, inter Abbatem Catelanum & Hugenium, de Centro Oſcillationis.
[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.
[178.] IX. Reſponſio Dni. Abbatis Catelani ad literas Dni. Bernoulli de Controverſia ſua cum Dno. Hu-genio de centro Oſcillationis .
[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.
[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.
[181.] XII. Obſervationes Dni Hugenii in liter as præcedentes & in relationem Dni Bernoulli, cujus in iis fit mentio.
[182.] FINIS.
[183.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM.
[184.] MACHINÆ QUÆDAM, ET VARIA CIRCA MECHANICAM. I. Excerpta ex Literis Domini Hugenii, novam quan-dam Inventionem Horologiorum exactiſſino-rum ac portatilium concernentibus.
[185.] II. Nova Libella, Teleſcopio inſtructa, propriam ſecum ferens probationem, & quæ in unica ſtatione verificatur, & rectificatur.
[186.] Rectificationis Libellæ Demonſtratio.
[187.] III. Aſtroſcopia Compendiaria, Tubi Optici molimine liberata.
[188.] AUCTARIUM.
[189.] IV. Excerpta ex literis Dni Hugenii de novâ methodo conſtruendi Barometrum.
[190.] V. Nova vis movens mediante pulvere nitrato & aëre.
< >
page |< < (237) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div436" type="section" level="1" n="178">
          <p>
            <s xml:id="echoid-s5200" xml:space="preserve">
              <pb o="237" file="0315" n="342" rhead="CONTROVERSIA."/>
            quæ cum ipſius ſententia congruunt, quam ad illarum propor-
              <lb/>
            tionales 5{11/17} & </s>
            <s xml:id="echoid-s5201" xml:space="preserve">{6/17}, quarum ſumma eſt 6; </s>
            <s xml:id="echoid-s5202" xml:space="preserve">vel ad 3{13/17} & </s>
            <s xml:id="echoid-s5203" xml:space="preserve">{4/12} qua-
              <lb/>
            rum ſumma eſt 4; </s>
            <s xml:id="echoid-s5204" xml:space="preserve">vel ad innumeras alias ſimiles, quæ ha-
              <lb/>
            beant inter ſe eandem proportionem, {144/25} ad {9/25}, ſed ex qui-
              <lb/>
            bus altitudo centri gravitatis reverſi major minorve, quam
              <lb/>
            unde deſcendit deducitur. </s>
            <s xml:id="echoid-s5205" xml:space="preserve">Certè pondera non revertentur ad
              <lb/>
            omnes altitudines proportionales quadratis velocitatum, quas
              <lb/>
            deſcendendo acquiſiverunt, quoniam gravitas gradatim re-
              <lb/>
            tardat, & </s>
            <s xml:id="echoid-s5206" xml:space="preserve">tandem deſtruit velocitates, cum quibus reflectun-
              <lb/>
            tur pondera.</s>
            <s xml:id="echoid-s5207" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5208" xml:space="preserve">Quid ergo eveniet? </s>
            <s xml:id="echoid-s5209" xml:space="preserve">rogo D
              <emph style="super">um</emph>
            . </s>
            <s xml:id="echoid-s5210" xml:space="preserve">Bernoulli ut illud explica-
              <lb/>
            re velit? </s>
            <s xml:id="echoid-s5211" xml:space="preserve">An Natura per ſe incerta de eo quod ſibi agendum
              <lb/>
            eſt, pro voluntate D
              <emph style="super">ni</emph>
            . </s>
            <s xml:id="echoid-s5212" xml:space="preserve">Bernouilli actura eſt? </s>
            <s xml:id="echoid-s5213" xml:space="preserve">Cum ipſius ve-
              <lb/>
            niâ, hac de re dubitabo, donec ſententiam ſuam ſolidis argu-
              <lb/>
            mentis, ex Phyſica deductis probet. </s>
            <s xml:id="echoid-s5214" xml:space="preserve">Interim credo me jure
              <lb/>
            concludere, rationibus quas affert pro D. </s>
            <s xml:id="echoid-s5215" xml:space="preserve">Hugenio hoc con-
              <lb/>
            firmari, propoſitionem hujus generalem & </s>
            <s xml:id="echoid-s5216" xml:space="preserve">fundamentalem
              <lb/>
            de centris Oſcillationis non eſſe omni exceptione majorem.</s>
            <s xml:id="echoid-s5217" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div437" type="section" level="1" n="179">
          <head xml:id="echoid-head223" xml:space="preserve">X.</head>
          <head xml:id="echoid-head224" style="it" xml:space="preserve">Dn. Bernouillii narratio controverſiæ inter Dn.
            <lb/>
          Hugenium & Abbatem Catelanum agitatæ
            <lb/>
          de Centro Oſcillationis, quæ loco Anim-
            <lb/>
          adverſionis eſſe poterit in Reſpon-
            <lb/>
          ſionem Dn. Catelani.</head>
          <head xml:id="echoid-head225" style="it" xml:space="preserve">Excerpta ex Litteris Dn. Bernoullii
            <lb/>
          Lipſiam miſſis.</head>
          <p>
            <s xml:id="echoid-s5218" xml:space="preserve">Menſe Septembri A. </s>
            <s xml:id="echoid-s5219" xml:space="preserve">1681. </s>
            <s xml:id="echoid-s5220" xml:space="preserve">Abbas Catelanus propoſitio-
              <lb/>
            nem quandam tractatus Cl. </s>
            <s xml:id="echoid-s5221" xml:space="preserve">Hugenii, quem de </s>
          </p>
        </div>
      </text>
    </echo>