Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
[31. LEMMAI.]
[32. LEMMA II.]
[33. LEMMA III.]
[34. LEMMA IIII.]
[35. PROPOSITIO VII.]
[36. PROPOSITIO VIII.]
[37. COMMENTARIVS.]
[38. PROPOSITIO IX.]
[39. COMMENTARIVS.]
[40. PROPOSITIO X.]
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ARCHIMEDIS
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            <s xml:space="preserve">
              <pb file="0028" n="28" rhead="ARCHIMEDIS"/>
            extra humidi ſuperficiem, axem habetin perpendiculari
              <lb/>
            per _k_: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propter ea, quæ ſuperius dicta ſunt, centrum gra-
              <lb/>
            uitatis ipſius eſt in linea n _k_, quod ſitr; </s>
            <s xml:space="preserve">totius autem por-
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            tionis centrum grauitatis eſt in linea f t, inter _k_ & </s>
            <s xml:space="preserve">f, quod
              <lb/>
            ſit x. </s>
            <s xml:space="preserve">reliquæ ergo figuræ, eius ſcilicet, quæ eſt in humido,
              <lb/>
            centrum erit in rectalinea r x producta ad partes x; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">aſ-
              <lb/>
              <anchor type="figure" xlink:label="fig-0028-01a" xlink:href="fig-0028-01"/>
            ſumpta ex ea linea quadam, quæ ad x r eandem habeat pro
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            portionem, quam grauitas portionis, quæ eſt extra humi-
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            dum, ad grauitatem figuræ, quæ in humido. </s>
            <s xml:space="preserve">Sit autem o
              <lb/>
            centrum dictæ figuræ: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per o perpendicularis ducatur
              <lb/>
            l o. </s>
            <s xml:space="preserve">Feretur ergo grauitas portionis quidem, quæ eſt ex-
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            tra humidum, per rectam r l deorſum; </s>
            <s xml:space="preserve">figuræ autem, quæ
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            in humido, per rectam o l ſurſum. </s>
            <s xml:space="preserve">non manet igitur flgu-
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            ra; </s>
            <s xml:space="preserve">ſed partes eius, quæ ſuntad h, deorſum ferẽtur; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quæ
              <lb/>
            ad e ſurſum. </s>
            <s xml:space="preserve">atque hoc ſemper erit, donec f t ſecundum
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            perpendicularem fiat.</s>
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            <note position="right" xlink:label="note-0027-01" xlink:href="note-0027-01a" xml:space="preserve">A</note>
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              <image file="0028-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0028-01"/>
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          <head xml:space="preserve">COMMENTARIVS.</head>
          <p>
            <s xml:space="preserve">ITAQVE figura, quæ extra humidi ſuperficiem,
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            axem habet in perpendiculari per _k_.</s>
            <s xml:space="preserve">]</s>
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            <note position="left" xlink:label="note-0028-01" xlink:href="note-0028-01a" xml:space="preserve">A</note>
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              <emph style="sc">D_vcatvr_</emph>
            enim b c, quæ ſecet lineam n k in m: </s>
            <s xml:space="preserve">ipſa uero
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            n k circunferentiam a b c d ſecet in g. </s>
            <s xml:space="preserve">eodem modo, quo ſupra, de-</s>
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