Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[1. None]
[2. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.]
[3. CVM PRIVILEGIO IN ANNOS X. BONONIAE,]
[4. M D LXV.]
[5. RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[6. Federicus Commandinus.]
[7. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.]
[8. PROPOSITIO I.]
[9. PROPOSITIO II.]
[10. PROPOSITIO III.]
[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.]
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DE IIS QVAE VEH. IN AQVA.
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              <pb o="5" file="0021" n="21" rhead="DE IIS QVAE VEH. IN AQVA."/>
            midi ſuperficie extare. </s>
            <s xml:space="preserve">Quare conſtat magnitudinem a
              <lb/>
            tanta ui ſurſum ferri, quãta deorſum premitur ab eo, quod
              <lb/>
            eſt ſupra; </s>
            <s xml:space="preserve">uidelicet à d, cũ neutra ab altera expellatur, ſed
              <lb/>
            d fertur deorſum tanta grauitate, quanta eſt c: </s>
            <s xml:space="preserve">ponebatur
              <lb/>
            enim grauitas eius, in quo d ipſi c æqualis. </s>
            <s xml:space="preserve">patet igitur
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            illud quod demonſtrare oportebat.</s>
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          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0020-01" xlink:href="fig-0020-01a">
              <image file="0020-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0020-01"/>
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        <div type="section" level="1" n="14">
          <head xml:space="preserve">PROPOSITIO VII.</head>
          <p>
            <s xml:space="preserve">
              <emph style="sc">Solidae</emph>
            magnitudines humido grauiores
              <lb/>
            demiſſæ in humidum ferentur deorſum, donec
              <lb/>
            deſcendant: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">erunt in humido tanto leuiores,
              <lb/>
            quanta eſt grauitas humidi molem habentis ſoli-
              <lb/>
            dæ magnitudini æqualem.</s>
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          </p>
          <p>
            <s xml:space="preserve">SOLIDAS magnitudines humido grauiores, in hu-
              <lb/>
            midum demiſſas deorſum quidam ferri, donec deſcẽdant,
              <lb/>
            manifeſtum eſt: </s>
            <s xml:space="preserve">partes enim humidi, quæ ſub eis ſunt, pre-
              <lb/>
            muntur magis, quàm partes æqualiter ipſis adiacentes;
              <lb/>
            </s>
            <s xml:space="preserve">quoniam magnitudo ſolida humido grauior ponitur: </s>
            <s xml:space="preserve">le-
              <lb/>
            uiores autem eſſe uti dictum eſt, demonſtrabitur hoc mo-
              <lb/>
            do. </s>
            <s xml:space="preserve">Sit enim aliqua ma-
              <lb/>
              <anchor type="figure" xlink:label="fig-0021-01a" xlink:href="fig-0021-01"/>
            gnitudo a grauior hu-
              <lb/>
            mido: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">fit magnitudi-
              <lb/>
            nis quidem a grauitas
              <lb/>
            b c: </s>
            <s xml:space="preserve">humidi uero molẽ
              <lb/>
            habentis æqualem ipſi a
              <lb/>
            grauitas ſit b. </s>
            <s xml:space="preserve">demon-
              <lb/>
            ſtrandum eſt magnitudi
              <lb/>
            nem a in humido exiſtē
              <lb/>
            tem habere grauitatem
              <lb/>
            æqualem ipſi c. </s>
            <s xml:space="preserve">Accipia
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            tur enim alia aliqua magnitudo, in qua d, leuior humido;</s>
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