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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DE IIS QVAE VEH. IN AQVA.
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              <pb o="4" file="0019" n="19" rhead="DE IIS QVAE VEH. IN AQVA."/>
            premitur pars humidi, quæ eſt ſub ſuperficie o p. </s>
            <s xml:space="preserve">quare ex-
              <lb/>
            pellet partem minus preſſam, & </s>
            <s xml:space="preserve">non manebit humidum.
              <lb/>
            </s>
            <s xml:space="preserve">ponebatur autem manens. </s>
            <s xml:space="preserve">non igitur demergetur tota,
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            ſed aliqua pars ipſius ex humidi ſuperficie extabit.</s>
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          <head xml:space="preserve">PROPOSITIO V.</head>
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              <emph style="sc">Solidarvm</emph>
            magnitudinum quæcunque le
              <lb/>
            uior humido fuerit, demiſſa in humidum vſque
              <lb/>
            eô demergetur, vt tanta moles humidi, quanta
              <lb/>
            eſt partis demerſæ, eandem, quam tota magnitu-
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            do, grauitatem habeat.</s>
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            <s xml:space="preserve">DISPONANTVR eadem, quæſupra: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">humi-
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            dum manens: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">magnitudo e h t f humido leuior. </s>
            <s xml:space="preserve">Si igitur
              <lb/>
            humidum manet, ſimiliter prementur eius partes, quæ æ-
              <lb/>
            qualiter iacent. </s>
            <s xml:space="preserve">ſimiliter ergo premetur humidum ſub ſu-
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            perficiebus x o o p.
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            </s>
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            quare æ qualis eſt graui-
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            tas, qua premuntur. </s>
            <s xml:space="preserve">eſt
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            autem & </s>
            <s xml:space="preserve">grauitas humi
              <lb/>
            di, quod in prima pyra-
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            mide abſque ſolido b h
              <lb/>
            t c, æqualis grauitati hu
              <lb/>
            midi, quod in altera py-
              <lb/>
            ramide abſq; </s>
            <s xml:space="preserve">r s q y hu-
              <lb/>
            mido. </s>
            <s xml:space="preserve">perſpicuum eſt
              <lb/>
            igitur grauitatem ma-
              <lb/>
            gnitudinis e h t f grauitati humidi r s q y æqualem eſſe. </s>
            <s xml:space="preserve">ex
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            quibus conſtat, tantam humidi molem, quanta eſt pars de
              <lb/>
            merſa ſolidæ magnitudinis, eandem, quam tota magnitu-
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            do habere grauitatem.</s>
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