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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            <s xml:space="preserve">
              <pb o="22" file="0055" n="55" rhead="DE IIS QVAE VEH. IN AQVA."/>
            & </s>
            <s xml:space="preserve">c o quidẽ
              <lb/>
              <anchor type="figure" xlink:label="fig-0055-01a" xlink:href="fig-0055-01"/>
            ducatur con
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            tingẽs ſectio
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            nẽin o, quæ
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            ipſi s l æqui-
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            diſtet; </s>
            <s xml:space="preserve">n o au
              <lb/>
            tem æquidi-
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              <anchor type="note" xlink:label="note-0055-01a" xlink:href="note-0055-01"/>
            ſtet p f: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">pri
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            mum ipſam
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            k ω ſecet, at-
              <lb/>
            quein pũcto
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            i ſimiliter ut
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            in ſuperiori-
              <lb/>
            bus demonſtrabitur no, uel ſeſquialtera ipſius oi, uel
              <lb/>
            maior, quàm ſeſquialtera. </s>
            <s xml:space="preserve">Sit autem o i minor, quam du-
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            pla ipſius in: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">o b dupla b n: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">diſponantur eadem,
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            quæſupra. </s>
            <s xml:space="preserve">Similiter demonſtrabimus, ſi ducatur linea r t,
              <lb/>
            facere eam angulos rectos cum linea c o, & </s>
            <s xml:space="preserve">cum ſuperficie
              <lb/>
            humidi. </s>
            <s xml:space="preserve">quare à punctis b g lineæ ductæipſi r t æquidiſtã
              <lb/>
            tes, etiã ad humidi ſuperfi-
              <lb/>
              <anchor type="figure" xlink:label="fig-0055-02a" xlink:href="fig-0055-02"/>
            ciẽ perpẽdiculares erunt.
              <lb/>
            </s>
            <s xml:space="preserve">portio igitur quæ eſt extra
              <lb/>
            humidũ deorſum feretur
              <lb/>
            ſecundum eam perpendi-
              <lb/>
            cularem, quæ per b tran-
              <lb/>
            ſit; </s>
            <s xml:space="preserve">quæ uero intra humi-
              <lb/>
            dum ſecundum eam, quæ
              <lb/>
            per g ſurſum ſeretur. </s>
            <s xml:space="preserve">ex
              <lb/>
            quibus conſtat reuolui ſo-
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            lidum, ita ut baſis ipſius
              <lb/>
            nullo modo humidi ſuper
              <lb/>
            ficiem contingat: </s>
            <s xml:space="preserve">quo-
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            niam nuncin uno puncto
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            contingens deorſum fer-</s>
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