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-s4212" xml:space="preserve">
              <pb o="187" file="0263" n="289" rhead="HOROLOG. OSCILLATOR."/>
            longitudinis penduli, cujus ſingulæ oſcillationes ſemiſcru-
              <lb/>
              <note position="right" xlink:label="note-0263-01" xlink:href="note-0263-01a" xml:space="preserve">
                <emph style="sc">Secundi</emph>
                <lb/>
                <emph style="sc">HOROLO-</emph>
                <lb/>
                <emph style="sc">GII DE-</emph>
                <lb/>
                <emph style="sc">SCRIPTIO</emph>
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            pulum ſecundum impenderent. </s>
            <s xml:id="echoid-s4213" xml:space="preserve">Ex parabolæ autem latere
              <lb/>
            recto, pendet magnitudo lateris recti paraboloidis A B;
              <lb/>
            </s>
            <s xml:id="echoid-s4214" xml:space="preserve">quippe quod illius {27/16} continet: </s>
            <s xml:id="echoid-s4215" xml:space="preserve">atque item longitudo A E,
              <lb/>
            quæ lateris recti parabolæ dimidium eſt. </s>
            <s xml:id="echoid-s4216" xml:space="preserve">Si vero ſecunda
              <lb/>
            ſcrupula unoquoque circuitu expleri deſideremus, quadru-
              <lb/>
            pla priorum accipienda ſunt, tum latera recta, tum linea
              <lb/>
            A E.</s>
            <s xml:id="echoid-s4217" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4218" xml:space="preserve">Porro, etſi filum B G F veluti unicum ac ſimplex hacte-
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            nus deſignavimus, ſciendum tamen longe præſtare ut parte
              <lb/>
            ſuperiori duplex ſit, ac F versùs in angulum coëat, 20 vel
              <lb/>
            30 partium. </s>
            <s xml:id="echoid-s4219" xml:space="preserve">In quem finem & </s>
            <s xml:id="echoid-s4220" xml:space="preserve">laminæ A B latitudo ad B
              <lb/>
            tanta eſſe debet, quanta iſti filorum divaricationi ſufficit,
              <lb/>
            vel & </s>
            <s xml:id="echoid-s4221" xml:space="preserve">ipſa bifida facienda. </s>
            <s xml:id="echoid-s4222" xml:space="preserve">Hoc pacto enim motus circularis
              <lb/>
            ponderis F, abſque alio ullo adminiculo, continuatur, ac filum
              <lb/>
            utrumque ſibi annexum in rectum extendit; </s>
            <s xml:id="echoid-s4223" xml:space="preserve">quod non face-
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            ret, ſi unico tantum filo teneretur. </s>
            <s xml:id="echoid-s4224" xml:space="preserve">Ubi tamen vim illam ab
              <lb/>
            horologii rotis, vel pondere vel alia potentia motis, ad con-
              <lb/>
            tinuationem hujus motus circularis requiri ſciendum. </s>
            <s xml:id="echoid-s4225" xml:space="preserve">Quæ
              <lb/>
            nempe vis per tympanidium K ad axem K H pervenit, ac
              <lb/>
            minimo niſu, motum ſphæræ F ſemel inditum, conſervat.</s>
            <s xml:id="echoid-s4226" xml:space="preserve"/>
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            <s xml:id="echoid-s4227" xml:space="preserve">Hoc autem quo facilius poſſit, liberrimam axis K H re-
              <lb/>
            volutionem eſſe oportet. </s>
            <s xml:id="echoid-s4228" xml:space="preserve">Quod nulla ratione melius perfici
              <lb/>
            compertum, quam ſi, parte ſui ima, durato chalybe con-
              <lb/>
            ſtet, ſuppoſitamque habeat adamantis ſuperficiem planam;
              <lb/>
            </s>
            <s xml:id="echoid-s4229" xml:space="preserve">cujus minima quævis particula hic ſufficit, ſubter laminam
              <lb/>
            perforatam collocanda.</s>
            <s xml:id="echoid-s4230" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4231" xml:space="preserve">Cæterum in locum fili B G F, qua parte curvæ A B appli-
              <lb/>
            cari debet, catenulam tenuem ex auro, aliove metallo, adhi-
              <lb/>
            bere licebit, quo melius invariata ſervetur longitudo. </s>
            <s xml:id="echoid-s4232" xml:space="preserve">Atque
              <lb/>
            hoc in priore quoque horologio, ubi pendulum inter cycloi-
              <lb/>
            des ſuſpenſum eſt, experti ſumus. </s>
            <s xml:id="echoid-s4233" xml:space="preserve">Sed ibi flexus catenulæ
              <lb/>
            continuus, attritu annulorum, perexiguo licet, non parum
              <lb/>
            impedit liberam penduli agitationem.</s>
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