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

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          <head xml:id="echoid-head213" xml:space="preserve">V.</head>
          <head xml:id="echoid-head214" style="it" xml:space="preserve">Objectio Abbatis Catelani contra motum
            <lb/>
          Pendulorum in Cycloidibus.</head>
          <p>
            <s xml:id="echoid-s4988" xml:space="preserve">Si vis gravitatis ageret in corpora tanquam in puncta Ma-
              <lb/>
            thematica, vel ſi ſpatium contentum ſub Cycloide eſſet
              <lb/>
            diviſibile in infinitas alias Cycloides, ſimiles & </s>
            <s xml:id="echoid-s4989" xml:space="preserve">parallelas,
              <lb/>
            quidam Geometræ revera demonſtraſſent, uti contendunt,
              <lb/>
            pendula illam debere deſcribere curvam ut Vibrationes, æ-
              <lb/>
            qualibus temporibus, peragant; </s>
            <s xml:id="echoid-s4990" xml:space="preserve">ſed nulla datur pars in cor-
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            pore gravi, quale eſt Pendulum ex cupro vel plumbo, quæ
              <lb/>
            non æque ac centrum Tellurem verſus propellatur magis mi-
              <lb/>
            nusve pro inclinatione, juxta quam movetur; </s>
            <s xml:id="echoid-s4991" xml:space="preserve">Præterea
              <lb/>
            ſpatium, quod continet Cyclois, non poteſt repleri infini-
              <lb/>
            tis aliis Cycloidibus ſimilibus, quoniam tripla circuli ſuperfi-
              <lb/>
            cies æqualis eſſet duplo quadrato diametri. </s>
            <s xml:id="echoid-s4992" xml:space="preserve">Latet igitur@adhuc
              <lb/>
            Geometras, quamnam lineam curvam deſcribat Pendulum,
              <lb/>
            cujus Vibrationes ſunt iſochronæ. </s>
            <s xml:id="echoid-s4993" xml:space="preserve">Conſequentia hæc patet,
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            ſi conſideremus, in corpore Pendulo, quando centrum vel
              <lb/>
            alia quælibet pars Cycloidem percurrit, partes viciniores
              <lb/>
            Axi, vel inde remotiores, eodem tempore, deſcribere lineas
              <lb/>
            curvas inter ſe ſimiles, ſed quæ non ſunt Cycloides; </s>
            <s xml:id="echoid-s4994" xml:space="preserve">ut
              <lb/>
            patet ex dictis, & </s>
            <s xml:id="echoid-s4995" xml:space="preserve">quia in quovis arcu perpendiculares
              <lb/>
            ductæ e tangentibus ſuis ad tangentes Cycloidis ſunt æqua-
              <lb/>
            les. </s>
            <s xml:id="echoid-s4996" xml:space="preserve">Omnes itaque partes non habent æqualem inclinationem
              <lb/>
            in deſcenſu, neque Tellurem verſus cum eâdem velocitatis
              <lb/>
            proportione propelluntur; </s>
            <s xml:id="echoid-s4997" xml:space="preserve">unde ſequitur, Vibrationem to-
              <lb/>
            tius Penduli, quæ neceſſario pendet a Vibrationibus, quas
              <lb/>
            peragunt partes ejus ſeparatim ſumtæ, differre a Penduli
              <lb/>
            Vibratione, ſi reductum foret ad illam partem, quæ move-
              <lb/>
            tur in Cycloide.</s>
            <s xml:id="echoid-s4998" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4999" xml:space="preserve">Videtur huic potius cauſæ, quam craſſitudini fili, cui
              <lb/>
            pondus alligatur, adſcribendam eſſe artificum praxin, quos
              <lb/>
            experientia cogit curvaturam a Cycloide diverſam laminis
              <lb/>
            tribuere, inter quas ſuſpendunt Pendulum.</s>
            <s xml:id="echoid-s5000" xml:space="preserve"/>
          </p>
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