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

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          <pb o="228" file="0306" n="333" rhead="DE CENTRO OSCILL."/>
          <p>
            <s xml:id="echoid-s5001" xml:space="preserve">Non tamen mihi animus eſt, hic abſolute oppugnare ſen-
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            tentiam illorum, qui credunt corpora gravia moveri, veluti
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            puncta, quæ in Cycloide, ad Horizontem perpendiculari,
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            peragunt ſuas Oſcillationes, temporibus æqualibus, a qua-
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            cunque dimittantur altitudine. </s>
            <s xml:id="echoid-s5002" xml:space="preserve">Contendo tantummodo, il-
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            lud nondum eſſe demonſtratum, niſi alterutrum horum pro-
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            betur, vel quod curvæ parallelæ Cycloidi eandem habent
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            proprietatem quantum ad motum corporum, licet non ſint
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            Cycloides, vel quod inæqualitas temporis, quod brevius eſt
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            in parallelis, interioribus & </s>
            <s xml:id="echoid-s5003" xml:space="preserve">Cycloide viciniores Axi, ita
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            moderetur contraria inæqualitate temporis, quod majus eſt
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            in parallelis exterioribus & </s>
            <s xml:id="echoid-s5004" xml:space="preserve">ipſâ curvâ remotioribus ab Axe,
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            ut compenſatio inæqualitatum ambarum in Cycloide detur,
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            quæ tanquam medium locum tenet inter omnes curvas ipſi
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            parallelas. </s>
            <s xml:id="echoid-s5005" xml:space="preserve">Geometræ hanc difficultatem examinabunt ſi di-
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            gnam ſuâ attentione judicent; </s>
            <s xml:id="echoid-s5006" xml:space="preserve">nec, niſi poſtquam eorum ſen-
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            tentiam novero, obſervationes meas hac de re dare potero.</s>
            <s xml:id="echoid-s5007" xml:space="preserve"/>
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        <div xml:id="echoid-div431" type="section" level="1" n="175">
          <head xml:id="echoid-head215" xml:space="preserve">VI.</head>
          <head xml:id="echoid-head216" style="it" xml:space="preserve">Reſponſio ad objectiones Hugenii adverſus me-
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          thodum Abbatis Catelani de determinan-
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          do Centro Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s5008" xml:space="preserve">HUgenius propoſuit objectionem adverſus propoſitionem
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            deductam ex principio, a me, ad determinandum Mathe-
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            matice centrum Oſcillationis Penduli, propoſito; </s>
            <s xml:id="echoid-s5009" xml:space="preserve">ſed de-
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            buit examinare id, quod præcedit locum, quem e ſcri-
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            ptis meis profert, nec generalem habere regulam ad
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            caſum particularem tantum accommodatam, quem elegi, ut
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            uterer exemplo ſimpliciſſimo & </s>
            <s xml:id="echoid-s5010" xml:space="preserve">facillimo; </s>
            <s xml:id="echoid-s5011" xml:space="preserve">ſcilicet quando
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            Pendula compoſita ſunt ex partibus, quæ deſcribunt arcus
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            ſimiles circa Axem, quocum faciunt idem planum; </s>
            <s xml:id="echoid-s5012" xml:space="preserve">tum
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            enim diſtantiæ ab illo Axe ſunt radii arcuum, qui habent
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            eandem inter ſe proportionem, ac perpendiculares ad Hori-
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            zontem, vel ſinus, qui ſunt altitudines, a quibus ſingulæ
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            partes in Oſcillatione deſcendunt. </s>
            <s xml:id="echoid-s5013" xml:space="preserve">Itaque cum Pendula, </s>
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