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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FED. COMMANDINI
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            tes æqueponderantes ipſam diuidet.</s>
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          </p>
          <p>
            <s xml:space="preserve">2 Priſmatis, cylindri, & </s>
            <s xml:space="preserve">portionis cylindri axem
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            appello rectam lineam, quæ oppoſitorum plano-
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            rum centra grauitatis coniungit.</s>
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          </p>
          <p>
            <s xml:space="preserve">3 Pyramidis, coni, & </s>
            <s xml:space="preserve">portionis coni axem dico li
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            neam, quæ à uertice ad centrum grauitatis baſis
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            perducitur.</s>
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          </p>
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            <s xml:space="preserve">4 Si pyramis, conus, portio coni, uel conoidis ſe-
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            cetur plano baſi æquidiſtante, pars, quæ eſt ad ba-
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            ſim, fruſtum pyramidis, coni, portionis coni, uel
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            conoidis dicetur; </s>
            <s xml:space="preserve">quorum plana æquidiſtantia,
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            quæ opponuntur ſimilia ſunt, & </s>
            <s xml:space="preserve">inæqualia: </s>
            <s xml:space="preserve">axes
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            uero ſunt axium figurarum partes, quæ in ipſis
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            comprehenduntur.</s>
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        <div type="section" level="1" n="63">
          <head xml:space="preserve">PETITIONES.</head>
          <p>
            <s xml:space="preserve">1 Solidarum figurarum ſimilium centra grauita-
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            tis ſimiliter ſunt poſita.</s>
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          </p>
          <p>
            <s xml:space="preserve">2 Solidis figuris ſimilibus, & </s>
            <s xml:space="preserve">æqualibus inter ſe
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            aptatis, centra quoque grauitatis ipſarum inter ſe
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            aptata erunt.</s>
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        <div type="section" level="1" n="64">
          <head xml:space="preserve">THEOREMA I. PROPOSITIO I.</head>
          <p>
            <s xml:space="preserve">Omnis figuræ rectilineæ in circulo deſcriptæ,
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            quæ æqualibus lateribus, & </s>
            <s xml:space="preserve">angulis contine-</s>
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