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

Table of contents

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[141.] VII.
[142.] VIII.
[143.] IX.
[145.] XI.
[146.] XII.
[147.] XIII.
[148.] FINIS.
[149.] BREVIS INSTITUTIO DE USU HOROLOGIORUM AD INVENIENDAS LONGITUDINES.
[150.] Adr. Metius in Geographicis Inſtitutionibus Cap. 4.
[151.] Fournier in Hydrographia 1. 12. C. 35.
[152.] Didericus Rembrantz a Nierop in Animadverſionibus de inveniendis longitudinibus.
[153.] BREVIS INSTRUCTIO DE USU HOROLO-GIORUM AD INVENIENDAS LONGITUDINES. I.
[154.] II.
[155.] III.
[156.] IV.
[157.] V. Reducere horologia ad rectam dierum menſuram vel cogno-ſcere quanto citius vel tardius ſpatio 24 horarum movean-tur.
[158.] VI. Ope Horologiorum mari invenire longitudinem loci in quo verſaris.
[159.] VII. Mari invenire horam diei.
[160.] VIII. Quomodo ex obſervatione ortus & occaſus Solis & ex hora horologiorum longitudo mari inveniri queat.
[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.
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            <image file="0295-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0295-01"/>
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        <div xml:id="echoid-div423" type="section" level="1" n="169">
          <head xml:id="echoid-head203" xml:space="preserve">DE
            <lb/>
          HUGENIANA
            <lb/>
          CENTRI OSCILLATIONIS
            <lb/>
          DETERMINATIONE
            <lb/>
          CONTROVERSIA.</head>
          <head xml:id="echoid-head204" xml:space="preserve">I.</head>
          <head xml:id="echoid-head205" style="it" xml:space="preserve">Obſervationes Abbatis Catelani in propoſitio-
            <lb/>
          nem, quæ fundamentum eſt 4
            <emph style="super">æ</emph>
          . partis tra-
            <lb/>
          ctatus de Pendulis, Hugenii.</head>
          <p>
            <s xml:id="echoid-s4753" xml:space="preserve">DOminus Hugenius in tractatu ſuo de Pendulis, ut nil
              <lb/>
            quod ad materiam ſpectat intactum relinqueret, hanc
              <lb/>
            diviſit in 5 partes, in quarum 4
              <emph style="super">a</emph>
            . </s>
            <s xml:id="echoid-s4754" xml:space="preserve">fuſe examinat quæ-
              <lb/>
            ſtionem de Centro Oſcillationis vel vibrationis. </s>
            <s xml:id="echoid-s4755" xml:space="preserve">Sed
              <lb/>
            cum difficile ſit animo ſemper æqualiter attento abſtruſas ve-
              <lb/>
            ritates, quales ſunt Mathematicæ, perpendere; </s>
            <s xml:id="echoid-s4756" xml:space="preserve">non eſt quod
              <lb/>
            miremur, ſi quæſtionem illam non æque accurate, quam
              <lb/>
            quidem reliquas ejusdem operis, examinaverit. </s>
            <s xml:id="echoid-s4757" xml:space="preserve">Principium
              <lb/>
            autem, quo nititur totum ejus Syſtema Oſcillationis hoc eſt.</s>
            <s xml:id="echoid-s4758" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4759" xml:space="preserve">Si Pendulum e pluribus ponderibus compoſitum at que e quie-
              <lb/>
            te dimiſſum, partem quamcunque Oſcillationis integræ con-
              <lb/>
            fecerit; </s>
            <s xml:id="echoid-s4760" xml:space="preserve">at que inde porro intelligantur pondera ejus ſingula,
              <lb/>
            relicto communi vinculo, celeritates acquiſitas ſurſum con-
              <lb/>
            vertere, ac quo usque poſſunt aſcendere; </s>
            <s xml:id="echoid-s4761" xml:space="preserve">hoc facto centrum
              <lb/>
            gravitatis ex omnibus compoſitæ, ad eandem altitudinem re-
              <lb/>
            verſum erit, quam ante inceptam Oſcillationem obtinebat .</s>
            <s xml:id="echoid-s4762" xml:space="preserve"/>
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          <note symbol="*" position="right" xml:space="preserve">Vide ſ@-
            <lb/>
          pra pag. 126.</note>
          <p>
            <s xml:id="echoid-s4763" xml:space="preserve">Ut parum firmam propoſitionem hanc demonſtremus, ſuffi-
              <lb/>
            ciet obſervaſſe; </s>
            <s xml:id="echoid-s4764" xml:space="preserve">vim, quam vocamus gravitatem, longe ali-
              <lb/>
            ter agere in pondera inter ſe juncta quam in pondera a ſe in-
              <lb/>
            vicem ſeparata. </s>
            <s xml:id="echoid-s4765" xml:space="preserve">Sint A & </s>
            <s xml:id="echoid-s4766" xml:space="preserve">B æqualia pondera, quorum
              <lb/>
              <note position="right" xlink:label="note-0295-02" xlink:href="note-0295-02a" xml:space="preserve">TAB XXVIII.
                <lb/>
              Pig. 1.</note>
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