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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        <div xml:id="echoid-div425" type="section" level="1" n="170">
          <p>
            <s xml:id="echoid-s4872" xml:space="preserve">
              <pb o="222" file="0300" n="327" rhead="DE CENTRO OSCILL."/>
            inter ſe ſuperficies. </s>
            <s xml:id="echoid-s4873" xml:space="preserve">& </s>
            <s xml:id="echoid-s4874" xml:space="preserve">ad axem perpendiculares; </s>
            <s xml:id="echoid-s4875" xml:space="preserve">formari debet, ſecun-
              <lb/>
            dâ ſectione, planum vel ſuperficies curva diſtantiarum inter il-
              <lb/>
            lorum centra Oſcillationis & </s>
            <s xml:id="echoid-s4876" xml:space="preserve">axem †, circa cujus puncta mo-
              <lb/>
            ventur. </s>
            <s xml:id="echoid-s4877" xml:space="preserve">Sic in ſummâ centrorum, quæ ab unâ parte rectas lineas ter-
              <lb/>
            minant, ex quibus planum hoc, vel ſuperficies illa curva, compoſita
              <lb/>
            eſt, habetur Pendulum magis ſimplex quam ſolidum, & </s>
            <s xml:id="echoid-s4878" xml:space="preserve">cujus vibra-
              <lb/>
            tio æque diuturna eſt. </s>
            <s xml:id="echoid-s4879" xml:space="preserve">Centrum Oſcillationis novi illius Penduli de-
              <lb/>
            terminabitur transferendo omnia illa centra Oſcillationis particularia
              <lb/>
            ad Axem qui eſt eorum numerus, & </s>
            <s xml:id="echoid-s4880" xml:space="preserve">ponendo illum axem ita mo-
              <lb/>
            veri, ut puncta ejus percurrant eosdem arcus ac centra. </s>
            <s xml:id="echoid-s4881" xml:space="preserve">Si ſoli-
              <lb/>
            da propoſita ſint Prismata recta, habebunt eadem Oſcil-
              <lb/>
            lationis centra, ac eorum baſes, ſi hæ fuerint perpendicula-
              <lb/>
            res ad axem.</s>
            <s xml:id="echoid-s4882" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4883" xml:space="preserve">Sic centrum Oſcillationis ſolidi pendet a centris Oſcillationis certa-
              <lb/>
            rum ſuperficierum motarum circa punctum, quarum commune O-
              <lb/>
            ſcillationis centrum eſt centrum Oſcillationis lineæ rectæ motæ circa
              <lb/>
            aliam rectam vel curvam; </s>
            <s xml:id="echoid-s4884" xml:space="preserve">ita ut non requirantur aliæ regulæ pro cor-
              <lb/>
            poribus quam pro lineis & </s>
            <s xml:id="echoid-s4885" xml:space="preserve">ſuperficiebus.</s>
            <s xml:id="echoid-s4886" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div426" type="section" level="1" n="171">
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            <emph style="sp">MONITUM.</emph>
          </head>
          <p style="it">
            <s xml:id="echoid-s4887" xml:space="preserve">Obſervationes Abbatis Catelani primum editæ fuere in
              <lb/>
            25 diario Pariſienſi anni 1681, & </s>
            <s xml:id="echoid-s4888" xml:space="preserve">examen Mathematicum in
              <lb/>
            29 diario ejusdem anni. </s>
            <s xml:id="echoid-s4889" xml:space="preserve">Scripta ambo in primo diario
              <lb/>
            ſequentis anni iterum extant, cum monitu varia defici in
              <lb/>
            prima editione, quam ſolam Hugenius viderat cum reſpon-
              <lb/>
            dit; </s>
            <s xml:id="echoid-s4890" xml:space="preserve">& </s>
            <s xml:id="echoid-s4891" xml:space="preserve">in qua non reperiuntur ea quæ minori charactere hic
              <lb/>
            edita ſunt. </s>
            <s xml:id="echoid-s4892" xml:space="preserve">Sola verba ſequentia in prima dantur & </s>
            <s xml:id="echoid-s4893" xml:space="preserve">in ſe-
              <lb/>
            cunda fuere omiſſa poſt †. </s>
            <s xml:id="echoid-s4894" xml:space="preserve">centrum Oſcillationis hujus plani
              <lb/>
            coincidet cum centro Oſcillationis ſolidorum illorum.</s>
            <s xml:id="echoid-s4895" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div427" type="section" level="1" n="172">
          <head xml:id="echoid-head209" xml:space="preserve">III.</head>
          <head xml:id="echoid-head210" style="it" xml:space="preserve">Excerpta ex literis Domini Hugenii, quibus re-
            <lb/>
          ſpondet obſervationi Abbatis Catelani in 4
            <emph style="super">am</emph>
          . pro-
            <lb/>
          poſitionem Tractatus de centris Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s4896" xml:space="preserve">ADmiratus vidi, Theoriam meam de centro Oſcillationis
              <lb/>
            oppugnari, contra quam per 9 annos, a quibus </s>
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