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

Table of contents

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[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)
[141.] VII.
Page: 295 (190)
[142.] VIII.
Page: 295 (190)
[143.] IX.
Page: 295 (190)
[144.] X.
Page: 296 (191)
[145.] XI.
Page: 296 (191)
[146.] XII.
Page: 296 (191)
[147.] XIII.
Page: 297 (192)
[148.] FINIS.
Page: 297 (192)
[149.] BREVIS INSTITUTIO DE USU HOROLOGIORUM AD INVENIENDAS LONGITUDINES.
Page: 298
[150.] Adr. Metius in Geographicis Inſtitutionibus Cap. 4.
Page: 299
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            <s xml:id="echoid-s4189" xml:space="preserve">
              <pb o="186" file="0262" n="288" rhead="CHRISTIANI HUGENII"/>
            to plura dicenda habeo, quam quæ hoc tempore exequi va-
              <lb/>
              <note position="left" xlink:label="note-0262-01" xlink:href="note-0262-01a" xml:space="preserve">
                <emph style="sc">Secundi</emph>
                <lb/>
                <emph style="sc">@OROLO-</emph>
                <lb/>
                <emph style="sc">GII DE-</emph>
                <lb/>
                <emph style="sc">SORIPTIO</emph>
              .</note>
            cet. </s>
            <s xml:id="echoid-s4190" xml:space="preserve">Sed, ut nova nec inutili ſpeculatione maturius fruantur
              <lb/>
            harum rerum ſtudioſi, neve caſu aliquo intercidat, hanc
              <lb/>
            quoque partem, præter deſtinatum, cæteris adjunxi, qua
              <lb/>
            machinæ hujus fabrica breviter exponitur, ſimulque Theo-
              <lb/>
            remata traduntur, ad Vim Centrifugam pertinentia; </s>
            <s xml:id="echoid-s4191" xml:space="preserve">demon-
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0262-02" xlink:href="note-0262-02a" xml:space="preserve">Vide Au-
                <lb/>
              ctoris Opera
                <lb/>
              poſthuma
                <lb/>
              p. 401.
                <lb/>
              & ſeq.</note>
            ſtratione ipſorum in aliud tempus dilata .</s>
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          </p>
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        <div xml:id="echoid-div379" type="section" level="1" n="134">
          <head xml:id="echoid-head161" style="it" xml:space="preserve">Horologii ſecundi conſtructio.</head>
          <p>
            <s xml:id="echoid-s4193" xml:space="preserve">Non neceſſarium duxi, ut rotarum, quibus interiora ho-
              <lb/>
              <note position="left" xlink:label="note-0262-03" xlink:href="note-0262-03a" xml:space="preserve">TAB.XXVII.
                <lb/>
              Fig. 5.</note>
            rologii conſtant, diſpoſitionem hic exhiberem; </s>
            <s xml:id="echoid-s4194" xml:space="preserve">cum ea ab
              <lb/>
            artificibus facile ordinari, variiſque modis mutari poſſit;
              <lb/>
            </s>
            <s xml:id="echoid-s4195" xml:space="preserve">ſed eam partem explicari ſatis eſſe, quæ motum ejus certa
              <lb/>
            ratione moderatur. </s>
            <s xml:id="echoid-s4196" xml:space="preserve">Cujus partis hic figura expreſſa eſt.</s>
            <s xml:id="echoid-s4197" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4198" xml:space="preserve">Axis D H ad horizontem erectus intelligendus eſt, ac
              <lb/>
            ſuper polis duobus mobilis. </s>
            <s xml:id="echoid-s4199" xml:space="preserve">Huic ad A affixa eſt lamina,
              <lb/>
            latitudine aliqua prædita, curvataque ſecundum lineam
              <lb/>
            A B; </s>
            <s xml:id="echoid-s4200" xml:space="preserve">quæ eſt paraboloides illa de qua oſtendimus, Propoſ. </s>
            <s xml:id="echoid-s4201" xml:space="preserve">8.
              <lb/>
            </s>
            <s xml:id="echoid-s4202" xml:space="preserve">partis 3, evolutione ejus, poſtquam ipſi recta quædam juncta
              <lb/>
            fuerit, deſcribi parabolam. </s>
            <s xml:id="echoid-s4203" xml:space="preserve">Earecta hic eſt A E; </s>
            <s xml:id="echoid-s4204" xml:space="preserve">parabolam
              <lb/>
            vero, ex evolutione totius B A E deſcriptam, refert linea
              <lb/>
            E F. </s>
            <s xml:id="echoid-s4205" xml:space="preserve">Filum curvæ B A applicatum, cujus extremo puncto
              <lb/>
            parabola deſcribitur, eſt B G F. </s>
            <s xml:id="echoid-s4206" xml:space="preserve">Pondus illi affixum F. </s>
            <s xml:id="echoid-s4207" xml:space="preserve">
              <lb/>
            Dum autem axis D H in ſeſe vertitur, filum B G F, in re-
              <lb/>
            ctam lineam extenſum, ſphærulam F una circumducit,
              <lb/>
            ita ut circulos horizonti parallelos percurrat; </s>
            <s xml:id="echoid-s4208" xml:space="preserve">qui majores
              <lb/>
            minoreſve erunt, prout majori aut minori vi axis D H,
              <lb/>
            ab rotis horologii in tympanidium K agentibus, incitabitur: </s>
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              <lb/>
            ſed ita, ut omnes in ſuperficie conoidis parabolici continean-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s4210" xml:space="preserve">Atque hoc ipſo æqualia ſemper circuitus tempora eva-
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            dent, ut ex iis, quæ de hoc motu poſtea dicemus, appa-
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            rebit.</s>
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            <s xml:id="echoid-s4212" xml:space="preserve">Quod ſi circuitus ſingulos, ſecundorum ſcrupulorum ſe-
              <lb/>
            miſſes notare velimus, oportet latus rectum parabolæ E F
              <lb/>
            eſſe 4{1/2} unciarum pedis Horarii noſtri, hoc eſt </s>
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