Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
[41. COMMENTARIVS.]
[42. LEMMA I.]
[43. LEMMA II.]
[44. LEMMA III.]
[45. LEMMA IIII.]
[46. LEMMA V.]
[47. LEMMA VI.]
[48. II.]
[49. III.]
[50. IIII.]
[51. V.]
[52. DEMONSTRATIO SECVNDAE PARTIS.]
[53. COMMENTARIVS.]
[54. DEMONSTRATIO TERTIAE PARTIS.]
[55. COMMENTARIVS.]
[56. DEMONSTRATIO QVARTAE PARTIS.]
[57. DEMONSTRATIO QVINT AE PARTIS.]
[58. FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.]
[59. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.]
[60. CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.]
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          <pb file="0030" n="30"/>
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        <div type="section" level="1" n="21">
          <head xml:space="preserve">ARCHIMEDIS DE IIS
            <lb/>
          QVAE VEHVNTVR IN AQVA
            <lb/>
          LIBER SECVNDVS.</head>
          <head xml:space="preserve">CVM COMMENTARIIS FEDERICI
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          COMMANDINI VRBINATIS.</head>
          <head xml:space="preserve">PROPOSITIO I.</head>
          <p>
            <s xml:space="preserve">SI magnitudo aliqua humido
              <lb/>
            leuior demittatur in humi-
              <lb/>
            dum, eam in grauitate pro-
              <lb/>
            portionem habebit ad humi-
              <lb/>
            dum æqualis molis, quã pars
              <lb/>
            magnitudinis demerſa habet
              <lb/>
            ad totam magnitudinem.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">DEMITTATVR enim in humidum aliqua magni-
              <lb/>
            tudo ſolida, quæ ſit fa, leuior humido: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">pars quidem ip-
              <lb/>
            ſius demerſa ſit a; </s>
            <s xml:space="preserve">quæ autem extra humidum f. </s>
            <s xml:space="preserve">demon-
              <lb/>
            ſtrandum eſt, ma
              <lb/>
              <anchor type="figure" xlink:label="fig-0030-01a" xlink:href="fig-0030-01"/>
            gnitudinem f a
              <lb/>
            ad humidum æ-
              <lb/>
            qualis molis eam
              <lb/>
            in grauitate pro-
              <lb/>
            portionem habe
              <lb/>
            re, quam habet
              <lb/>
            a ad fa. </s>
            <s xml:space="preserve">accipiatur enim aliqua humidi magnitudo n i</s>
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