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

Table of contents

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[101.] PROPOSITIO XI.
[102.] PROPOSITIO XII.
[103.] PROPOSITIO XIII.
[104.] PROPOSITIO XIV.
[105.] PROPOSITIO XV.
[106.] PROPOSITIO XVI.
[107.] PROPOSITIO XVII.
[108.] PROPOSITIO XVIII.
[109.] PROPOSITIO XIX.
[110.] PROPOSITIO XX.
[111.] PROPOSITIO XXI.
[112.] Centrum oſcillationis Circuli.
[113.] Centrum oſcillationis Rectanguli.
[114.] Centrum oſcillationis Trianguli iſoſcelis.
[115.] Centrum oſcillationis Parabolæ.
[116.] Centrum oſcillationis Sectoris circuli.
[117.] Centrum oſcillationis Circuli, aliter quam ſupra.
[118.] Centrum oſcillationis Peripheriæ circuli.
[119.] Centrum oſcillationis Polygonorum ordinatorum.
[120.] Loci plani & ſolidi uſus in hac Theoria.
[121.] PROPOSITIO XXII.
[122.] Centrum oſcillationis in Pyramide.
[123.] Centrum oſcillationis Coni.
[124.] Centrum oſcillationis Sphæræ.
[125.] Centrum oſcillationis Cylindri.
[126.] Centrum oſcillationis Conoidis Parabolici.
[127.] Centrum oſcillationis Conoidis Hyperbolici.
[128.] Centrum oſcillationis dimidii Coni.
[129.] PROPOSITIO XXIII.
[130.] PROPOSITIO XXIV.
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              <pb o="184" file="0260" n="286" rhead="CHR. HUGENII HOROL. OSCILL."/>
            leviore materia conſtent, mole grandiuſcula accipiantur Le-
              <lb/>
              <note position="left" xlink:label="note-0260-01" xlink:href="note-0260-01a" xml:space="preserve">
                <emph style="sc">Decentro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            vitas enim materiæ, in iis quæ cadendo aërem ſecant, ita
              <lb/>
            magnitudine corporis penſatur, ut ſphæra lignea, vel etiam
              <lb/>
            è ſubere formata, paria faciat cum plumbea: </s>
            <s xml:id="echoid-s4159" xml:space="preserve">quando nimi-
              <lb/>
            rum diameter harum ad plumbeæ diametrum eam rationem
              <lb/>
            habuerit, quam gravitas plumbi propria ad ligni ſuberisve
              <lb/>
            gravitatem. </s>
            <s xml:id="echoid-s4160" xml:space="preserve">Tunc enim gravitates ſphærarum erunt inter ſe
              <lb/>
            ſicut earum ſuperficies. </s>
            <s xml:id="echoid-s4161" xml:space="preserve">Veruntamen, ut æquali celeritate,
              <lb/>
            quantum ſenſu percipi poteſt, decidant corpora, quæ mul-
              <lb/>
            tum intrinſeca gravitate differunt nequaquam opus eſt ut
              <lb/>
            proportio illa diametrorum ſervetur. </s>
            <s xml:id="echoid-s4162" xml:space="preserve">Poſſunt enim inter ſe
              <lb/>
            æqualia eſſe, dummodo utraque ſatis magna ſint; </s>
            <s xml:id="echoid-s4163" xml:space="preserve">aut ex
              <lb/>
            non nimia altitudine decidant. </s>
            <s xml:id="echoid-s4164" xml:space="preserve">Etenim illud quoque hic
              <lb/>
            animadvertendum eſt, tantam vel altitudinem eſſe poſſe;
              <lb/>
            </s>
            <s xml:id="echoid-s4165" xml:space="preserve">vel, in mediocri etiam altitudine, tantam projecti corporis
              <lb/>
            levitatem; </s>
            <s xml:id="echoid-s4166" xml:space="preserve">ut ob aëris renitentiam, acceleratio motus tan-
              <lb/>
            dem ab illa, quam in ſuperioribus demonſtravimus, pro-
              <lb/>
            portione plurimum receſſura ſit. </s>
            <s xml:id="echoid-s4167" xml:space="preserve">Namque in univerſum,
              <lb/>
            corpori cuilibet, per aërem aliudve liquidum labenti, certus
              <lb/>
            celeritatis modus, pro ratione ponderis ac ſuperſiciei ſuæ,
              <lb/>
            conſtitutus eſt; </s>
            <s xml:id="echoid-s4168" xml:space="preserve">quem excedere, aut potius ad quem perve-
              <lb/>
            nire nunquam poſſit. </s>
            <s xml:id="echoid-s4169" xml:space="preserve">Quæ nempe celeritas ea eſt, quam ſi
              <lb/>
            aër, aut liquor ille ſurſum tendens, haberet, ſuſpenſum cor-
              <lb/>
            pus idem ſibi innatans ſuſtinere poſſet. </s>
            <s xml:id="echoid-s4170" xml:space="preserve">Verum de his, alias
              <lb/>
            fortaſſe, pluribus agendi occaſio erit.</s>
            <s xml:id="echoid-s4171" xml:space="preserve"/>
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