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 CENTRO GRAVIT. SOLID.
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              <pb o="21" file="0153" n="153" rhead="DE CENTRO GRAVIT. SOLID."/>
            diuidendo figura ſolida inſcripta ad dictam exceſſus par-
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            tem, ut τ e ad e ρ. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quoniam à cono, ſeu coni portione,
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            cuius grauitatis centrum eſt e, aufertur figura inſcripta,
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            cuius centrum ρ: </s>
            <s xml:space="preserve">reſiduæ magnitudinis compoſitæ ex par
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            te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
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            continetur, centrum grauitatis erit in linea ζ e protracta,
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            atque in puncto τ. </s>
            <s xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:space="preserve">cõſtat ergo centrũ
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            grauitatis coni, uel coni portionis, eſſe in axe b d: </s>
            <s xml:space="preserve">quod de
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            monſcrandum propoſuimus.</s>
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            <figure xlink:label="fig-0151-01" xlink:href="fig-0151-01a">
              <image file="0151-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0151-01"/>
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            <figure xlink:label="fig-0152-01" xlink:href="fig-0152-01a">
              <image file="0152-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0152-01"/>
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          <head xml:space="preserve">THE OREMA XI. PROPOSITIO XV.</head>
          <p>
            <s xml:space="preserve">Cuiuslibet portionis ſphæræ uel ſphæroidis,
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            quæ dimidia maior non ſit: </s>
            <s xml:space="preserve">itemq́; </s>
            <s xml:space="preserve">cuiuslibet por
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            tionis conoidis, uel abſciſſæ plano ad axem recto,
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            uel non recto, centrum grauitatis in axe con-
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            ſiſtit.</s>
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          </p>
          <p>
            <s xml:space="preserve">Demonſtratio ſimilis erit ei, quam ſupra in cono, uel co
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            ni portione attulimus, ne toties eadem fruſtra iterentur.</s>
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          <figure>
            <image file="0153-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0153-01"/>
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