Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[11.] PROPOSITIO IIII.
[12.] PROPOSITIO V.
[13.] PROPOSITIO VI.
[14.] PROPOSITIO VII.
[15.] POSITIO II.
[16.] COMMENTARIVS.
[17.] PROPOSITIO VIII.
[18.] COMMENTARIVS.
[19.] PROPOSITIO IX.
[20.] COMMENTARIVS.
[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
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        <div xml:id="echoid-div190" type="section" level="1" n="62">
          <head xml:id="echoid-head69" xml:space="preserve">FEDERICI COMMANDINI
            <lb/>
          VRBINATIS LIBER DE CENTRO
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          GRAVITATIS SOLIDORVM.
            <lb/>
          DIFFINITIONES.</head>
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              <emph style="sc">CEntrvm</emph>
            grauitatis, Pappus
              <lb/>
            Alexandrinus in octauo ma-
              <lb/>
            thematicarum collectionum
              <lb/>
            libro ita diffiniuit.</s>
            <s xml:id="echoid-s2809" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2810" xml:space="preserve">λέγομεν δἐ κἐντρον βάρ
              <unsure/>
            ους ἑκά στου σἀ
              <unsure/>
              <lb/>
            ματος {εἶ}ναι σημ\~ειον τικείμενον ἑντὸς, ἀφ
              <unsure/>
              <lb/>
            οὖ κα\’τ ἐποίνιαν ἀρτηθέν τό βάρ
              <unsure/>
            ος ἡμερ{εἶ}
              <lb/>
            φερ
              <unsure/>
            όμενον, καὶ φυλὰσσει τήν ἐξἀρχ\~νςθἐ-
              <lb/>
            σιν, οὐ μὴ περιτρ
              <unsure/>
            επ ὸμενον ἐντῆ φορ
              <unsure/>
            ᾶ. </s>
            <s xml:id="echoid-s2811" xml:space="preserve">hoc eſt,</s>
          </p>
          <p>
            <s xml:id="echoid-s2812" xml:space="preserve">Dicimus autem centrum grauitatis uniuſcu-
              <lb/>
            inſque corporis punctum quoddam intra poſi-
              <lb/>
            cum, à quo ſi graue appenſum mente concipia-
              <lb/>
            tur, dum fertur quieſcit; </s>
            <s xml:id="echoid-s2813" xml:space="preserve">& </s>
            <s xml:id="echoid-s2814" xml:space="preserve">ſeruat eam, quam in
              <lb/>
            principio habebat poſitionem: </s>
            <s xml:id="echoid-s2815" xml:space="preserve">neque in ipſa la-
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            tione circumuertitur.</s>
            <s xml:id="echoid-s2816" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2817" xml:space="preserve">Poſſumus etiam hoc modo diffinire.</s>
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            <s xml:id="echoid-s2819" xml:space="preserve">Centrum grauitatis uniuſcuiuſque ſolidæ figu
              <lb/>
            ræ eſt punctum illud intra poſitum, circa quod
              <lb/>
            undique partes æqualium momentorum conſi-
              <lb/>
            ſtunt. </s>
            <s xml:id="echoid-s2820" xml:space="preserve">ſi enim per tale centrum ducatur planum
              <lb/>
            figuram quomodocunque ſecans ſemper in </s>
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