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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            tis figuræ A B C; </s>
            <s xml:id="echoid-s3100" xml:space="preserve">erit ſumma quadratorum à di-
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                <emph style="sc">De centro</emph>
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                <emph style="sc">OSCILLA-</emph>
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                <emph style="sc">TIONIS</emph>
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            ſtantiis particularum, in quas figura diviſa intel-
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            ligitur, ab recta E D, æqualis rectangulo ſoli
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            A G H, multiplici ſecundum ipſarum particula-
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            rum numerum.</s>
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          <p>
            <s xml:id="echoid-s3102" xml:space="preserve">Hoc enim manifeſtum eſt, quum nullum tunc ſit quadra-
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            tum E G.</s>
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          <head xml:id="echoid-head127" xml:space="preserve">PROPOSITIO XI.</head>
          <p style="it">
            <s xml:id="echoid-s3104" xml:space="preserve">POſitis rurſus cæteris ut in præcedentium penul-
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              <note position="right" xlink:label="note-0199-02" xlink:href="note-0199-02a" xml:space="preserve">TAB. XX.
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              Fig. 4.</note>
            tima; </s>
            <s xml:id="echoid-s3105" xml:space="preserve">ſi D E ſit axis figuræ planæ A B C, in
              <lb/>
            duas æquales ſimilesque portiones eam dividens, ſit-
              <lb/>
            que inſuper V G diſtantia centri gravitatis dimi-
              <lb/>
            diæ figuræ D A D ab recta E D, cunei vero, ſu-
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            per ipſam abſciſſi per ipſam E D, ſubcentrica G X;
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            </s>
            <s xml:id="echoid-s3106" xml:space="preserve">erit rectangulum X G V æquale rectangulo A G H.</s>
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            <s xml:id="echoid-s3108" xml:space="preserve">Eſt enim rectangulum X G V, multiplex ſecundum nu-
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            merum particularum figuræ D A D, æquale quadratis omni-
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            bus perpendicularium à particulis ejusdem figuræ dimidiæ in
              <lb/>
            rectam E D cadentium . </s>
            <s xml:id="echoid-s3109" xml:space="preserve">Ac proinde idem
              <note symbol="*" position="right" xlink:label="note-0199-03" xlink:href="note-0199-03a" xml:space="preserve">Prop. @.
                <lb/>
              huj.</note>
            X G V, multiplex ſecundum numerum particularum totius
              <lb/>
            figuræ A B C, æquale erit quadratis perpendicularium, ab
              <lb/>
            omnibus particulis figuræ hujus in rectam E D demiſſarum;
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            <s xml:id="echoid-s3110" xml:space="preserve">hoc eſt, rectangulo A G H multiplici ſecundum eundem
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            particularum numerum, ut conſtat ex propoſ. </s>
            <s xml:id="echoid-s3111" xml:space="preserve">præcedenti. </s>
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            Unde ſequitur rectangula X G V, A G H inter ſe æqualia
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            eſſe. </s>
            <s xml:id="echoid-s3113" xml:space="preserve">quod erat demonſtrandum.</s>
            <s xml:id="echoid-s3114" xml:space="preserve"/>
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          <head xml:id="echoid-head128" xml:space="preserve">PROPOSITIO XII.</head>
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            <s xml:id="echoid-s3115" xml:space="preserve">DAtis in plano punctis quotlibet; </s>
            <s xml:id="echoid-s3116" xml:space="preserve">ſi ex centro
              <lb/>
            gravitatis eorum circulus quilibet deſcribatur;</s>
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