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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ARCHIMEDIS
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          <head xml:space="preserve">PROPOSITIO III.</head>
          <p>
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              <emph style="sc">Solidarvm</emph>
            magnitudinum, quæ æqualẽ
              <lb/>
            molem habentes æque graues ſunt, atque humi-
              <lb/>
            dum; </s>
            <s xml:space="preserve">in humidum demiſſæ demergentur ita, vt
              <lb/>
            ex humidi ſuperficie nihil extet: </s>
            <s xml:space="preserve">non tamen ad
              <lb/>
            huc deorſum ferentur.</s>
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          </p>
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            <s xml:space="preserve">SIT magnitudo aliqua æque grauis, atque humidum:
              <lb/>
            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſi fieri poteſt, in humidum demiſſa extet ex ſuperficie ip
              <lb/>
            ſius: </s>
            <s xml:space="preserve">conſiſtat autem humidum, maneatq;</s>
            <s xml:space="preserve">: & </s>
            <s xml:space="preserve">intelligatur
              <lb/>
            aliquod planum ductũ
              <lb/>
              <anchor type="figure" xlink:label="fig-0016-01a" xlink:href="fig-0016-01"/>
            per cẽtrum terræ, & </s>
            <s xml:space="preserve">hu
              <lb/>
            midi, ac per ſolidam ma
              <lb/>
            gnitudinem, ut ſit ſuper
              <lb/>
            ficiei quidem humidi ſe
              <lb/>
            ctio a b c d; </s>
            <s xml:space="preserve">ſolidæ uero
              <lb/>
            magnitudinis inſiden-
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            tis e h t f; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">terræ cen-
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            trum k: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">ſolidæ ma-
              <lb/>
            gnitudinis pars, quæ in
              <lb/>
            humido eſt, b h t c; </s>
            <s xml:space="preserve">& </s>
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              <lb/>
            quæ extra humidum b e f c. </s>
            <s xml:space="preserve">intelligatur etiam ſolida figu-
              <lb/>
            ra comprehenſa pyramide, baſim quidem habente paralle
              <lb/>
            logrammum, quod eſt in ſuperficie humidi; </s>
            <s xml:space="preserve">uerticem au-
              <lb/>
            tem centrum terræ: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">ſectio plani, in quo eſt a b c d cir-
              <lb/>
            cunferentia, & </s>
            <s xml:space="preserve">planorum pyramidis k l, k m: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">deſcriba-
              <lb/>
            tur quædam alterius ſphæræ ſuperficies x o p circa centrũ
              <lb/>
            k, in humido ſub e f h t, ut ſit ipſa x o p ſectio facta à ſuper fi
              <lb/>
            cie plani. </s>
            <s xml:space="preserve">Sumatur præterea alia quædam pyramis æqua-
              <lb/>
            lis, & </s>
            <s xml:space="preserve">ſimilis comprehendenti ſolidam figuram, ipſi con-</s>
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