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

Table of figures

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          <p>
            <s xml:id="echoid-s4934" xml:space="preserve">
              <pb o="224" file="0302" n="329" rhead="DE CENTRO OSCILL."/>
            bare nequit; </s>
            <s xml:id="echoid-s4935" xml:space="preserve">neque igitur, duas inventas altitudines centri
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            gravitatis inæquales eſſe, id quod in concluſione contendit,
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            nam licet altitudines L N, M O, diverſam habeant rationem
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            inter ſe quam altitudines A H, B I, non ſequitur ſummas
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            primarum & </s>
            <s xml:id="echoid-s4936" xml:space="preserve">ſecundarum differre.</s>
            <s xml:id="echoid-s4937" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4938" xml:space="preserve">Poſſem præter hunc alium locum obſervare, ubi fallitur
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            Abbas Catelanus, ſed non hærebo, quoniam id, quod pro-
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            fert non ſpectat ea quibus me aggreditur. </s>
            <s xml:id="echoid-s4939" xml:space="preserve">Unicum verbum
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            addam de examine ejus Mathematico, ut vocat, de centro
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            Oſcillationis edito in diario 15. </s>
            <s xml:id="echoid-s4940" xml:space="preserve">Dec. </s>
            <s xml:id="echoid-s4941" xml:space="preserve">1681. </s>
            <s xml:id="echoid-s4942" xml:space="preserve">ubi contendit ſe
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            inveniſſe regulam hanc generalem, ſcilicet, per nume-
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            rum partium Penduli dividi debere ſummam radicum diſtan-
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            tiarum partium ab axe; </s>
            <s xml:id="echoid-s4943" xml:space="preserve">ut habeamus lineam rectam, quæ ſit
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            menſura temporis quo vibrationem peragit illud Pendulum,
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            cujus conſequenter quadratum vel 3
              <emph style="super">a</emph>
            . </s>
            <s xml:id="echoid-s4944" xml:space="preserve">proportionalis erit di-
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            ſtantia inter axem & </s>
            <s xml:id="echoid-s4945" xml:space="preserve">centrum Oſcillationis.</s>
            <s xml:id="echoid-s4946" xml:space="preserve"/>
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          <note position="left" xml:space="preserve">TAB. XXVIII.
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          Fig. 3.</note>
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            <s xml:id="echoid-s4947" xml:space="preserve">Relicto omni peculiari examine, ſatis erit ad vitium re-
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            gulæ detegendum, notaſſe, juxta hoc principium, duas li-
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            neas graves ut A B, B C, junctas & </s>
            <s xml:id="echoid-s4948" xml:space="preserve">inter ſe angulum quem-
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            cunque efficientes, ſuſpenſas in B ſemper idem Oſcillatio-
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            nis centrum habere; </s>
            <s xml:id="echoid-s4949" xml:space="preserve">ideoque vibrationes ſemper fore æque ve-
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            loces, uti facile intelligunt hi, qui in hiſce materiis parum ſunt
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            verſati; </s>
            <s xml:id="echoid-s4950" xml:space="preserve">ſed & </s>
            <s xml:id="echoid-s4951" xml:space="preserve">illi videbunt, quod æqualitas illa vibratio-
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            num locum habere nequeat, quoniam augendo angulo tan-
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            dem duæ lineæ ſimul junctæ unicam efficiunt rectam a B c,
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            cujus vibrationes forent æque diuturnæ cum vibrationibus
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            anguli A B C, linea vero recta in puncto medio ſuſpenſa,
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            nullas peragit vibrationes, aut ſaltem velocitate infinite exi-
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            gua movetur.</s>
            <s xml:id="echoid-s4952" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4953" xml:space="preserve">Porro credo Abbati Catelano ſatis difficile fore, ſuâ regulâ,
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            centrum Oſcillationis in quibusvis particularibus figuris, etiam
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            ſimpliciſſimis, determinate, ſed, ſi id forte perficiat, inveniet,
              <lb/>
            ſuam Theoriam cum experientiâ nunquam convenire, & </s>
            <s xml:id="echoid-s4954" xml:space="preserve">
              <lb/>
            meam ſemper ſummâ exactitudine eidem reſpondere, ſi mo-
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            do experimenta exactiſſimè inſtituta fuerint.</s>
            <s xml:id="echoid-s4955" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4956" xml:space="preserve">Non poſſum hac occaſione ſilentio præterire, P. </s>
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