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

Table of contents

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[111.] PROPOSITIO XXI.
Page: 238 (154)
[112.] Centrum oſcillationis Circuli.
Page: 247 (157)
[113.] Centrum oſcillationis Rectanguli.
Page: 247 (157)
[114.] Centrum oſcillationis Trianguli iſoſcelis.
Page: 248 (158)
[115.] Centrum oſcillationis Parabolæ.
Page: 248 (158)
[116.] Centrum oſcillationis Sectoris circuli.
Page: 248 (158)
[117.] Centrum oſcillationis Circuli, aliter quam ſupra.
Page: 250 (160)
[118.] Centrum oſcillationis Peripheriæ circuli.
Page: 250 (160)
[119.] Centrum oſcillationis Polygonorum ordinatorum.
Page: 254 (161)
[120.] Loci plani & ſolidi uſus in hac Theoria.
Page: 254 (161)
[121.] PROPOSITIO XXII.
Page: 261 (165)
[122.] Centrum oſcillationis in Pyramide.
Page: 262 (166)
[123.] Centrum oſcillationis Coni.
Page: 266 (167)
[124.] Centrum oſcillationis Sphæræ.
Page: 266 (167)
[125.] Centrum oſcillationis Cylindri.
Page: 267 (168)
[126.] Centrum oſcillationis Conoidis Parabolici.
Page: 267 (168)
[127.] Centrum oſcillationis Conoidis Hyperbolici.
Page: 268 (169)
[128.] Centrum oſcillationis dimidii Coni.
Page: 268 (169)
[129.] PROPOSITIO XXIII.
Page: 274 (172)
[130.] PROPOSITIO XXIV.
Page: 279 (177)
[131.] PROPOSITIO XXV.
Page: 280 (178)
[132.] PROPOSITIO XXVI.
Page: 284 (182)
[133.] HOROLOGII OSCILLATORII PARS QUINTA.
Page: 287 (185)
[134.] Horologii ſecundi conſtructio.
Page: 288 (186)
[135.] DE VI CENTRIFUGA ex motu circulari, Theoremata. I.
Page: 290 (188)
[136.] II.
Page: 290 (188)
[137.] III.
Page: 290 (188)
[138.] IV.
Page: 294 (189)
[139.] V.
Page: 294 (189)
[140.] VI.
Page: 294 (189)
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            <s xml:id="echoid-s4028" xml:space="preserve">
              <pb o="178" file="0254" n="280" rhead="CHRISTIANI HUGENII"/>
            eſt. </s>
            <s xml:id="echoid-s4029" xml:space="preserve">Fit enim hoc modo, ex motus natura, ut eandem per-
              <lb/>
              <note position="left" xlink:label="note-0254-01" xlink:href="note-0254-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            petuo poſitionem, reſpectu horizontalis plani, ſphæra pen-
              <lb/>
            duli ſervet, atque ita puncta ejus quævis, æque ac cen-
              <lb/>
            trum ipſum, cycloides eaſdem percurrant. </s>
            <s xml:id="echoid-s4030" xml:space="preserve">Unde ceſſat hic
              <lb/>
            jam centrorum oſcillationis conſideratio; </s>
            <s xml:id="echoid-s4031" xml:space="preserve">nec minus perfectam
              <lb/>
            temporum æqualitatem tale pendulum conſequitur, quam ſi
              <lb/>
            puncto unico omnis ejus gravitas contineretur.</s>
            <s xml:id="echoid-s4032" xml:space="preserve"/>
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        <div xml:id="echoid-div370" type="section" level="1" n="131">
          <head xml:id="echoid-head157" xml:space="preserve">PROPOSITIO XXV.</head>
          <p style="it">
            <s xml:id="echoid-s4033" xml:space="preserve">DE menſuræ univerſalis, & </s>
            <s xml:id="echoid-s4034" xml:space="preserve">perpetuæ, conſti-
              <lb/>
            tuendæ ratione.</s>
            <s xml:id="echoid-s4035" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4036" xml:space="preserve">Certa, ac permanens magnitudinum menſura, quæ nullis
              <lb/>
            caſibus obnoxia ſit, nec temporum injuriis, aut longinquita-
              <lb/>
            te aboleri aut corrumpi poſſit, res eſt & </s>
            <s xml:id="echoid-s4037" xml:space="preserve">utiliſſima, & </s>
            <s xml:id="echoid-s4038" xml:space="preserve">à
              <lb/>
            multis pridem quæſita. </s>
            <s xml:id="echoid-s4039" xml:space="preserve">Quæ ſi priſcis temporibus reperta
              <lb/>
            fuiſſet, non tam perplexæ nunc forent, de pedis Romani,
              <lb/>
            Græci, Hebræique veteris modulo, diſceptationes. </s>
            <s xml:id="echoid-s4040" xml:space="preserve">Hæc ve-
              <lb/>
            ro menſura, Horologii noſtri opera, facile conſtituitur; </s>
            <s xml:id="echoid-s4041" xml:space="preserve">cum
              <lb/>
            ſine illo nequaquam, aut ægre admodum, haberi poſſit. </s>
            <s xml:id="echoid-s4042" xml:space="preserve">Etſi
              <lb/>
            enim, ſimplici pendulorum oſcillatione, hoc à quibuſdam
              <lb/>
            tentatum fuerit, numerando recurſus qui tota cæli conver-
              <lb/>
            ſione continentur, vel parte ejus cognita, per fixarum ſtel-
              <lb/>
            larum diſtantias, ſecundum aſcenſionem rectam; </s>
            <s xml:id="echoid-s4043" xml:space="preserve">nec certi-
              <lb/>
            tudo eadem hoc modo, quæ adhibitis horologiis, contingit,
              <lb/>
            & </s>
            <s xml:id="echoid-s4044" xml:space="preserve">labor longe eſt moleſtiſſimus ac tædioſiſſimus, propter
              <lb/>
            numerandi ſolicitudinem. </s>
            <s xml:id="echoid-s4045" xml:space="preserve">Quia autem, præter horologia,
              <lb/>
            aliquid, ad exactiſſimam hujus menſuræ inquiſitionem,
              <lb/>
            etiam centrorum oſcillationis notitia confert; </s>
            <s xml:id="echoid-s4046" xml:space="preserve">ideo hic de-
              <lb/>
            mum, poſt eorum tractationem, hanc determinationem ſub-
              <lb/>
            jicimus.</s>
            <s xml:id="echoid-s4047" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4048" xml:space="preserve">Aptiſſima huic rei ſunt horologia, quorum oſcillationes
              <lb/>
            ſingulæ ſecunda ſcrupula, vel eorum ſemiſſes, notant, quæ-
              <lb/>
            que indicibus etiam, ad ea demonſtranda, inſtructa ſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s4049" xml:space="preserve">Poſtquam enim, ad mediocrem dierum longitudinem, </s>
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