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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          <p>
            <s xml:space="preserve">
              <pb o="22" file="0055" n="55" rhead="DE IIS QVAE VEH. IN AQVA."/>
            & </s>
            <s xml:space="preserve">c o quidẽ
              <lb/>
              <anchor type="figure" xlink:label="fig-0055-01a" xlink:href="fig-0055-01"/>
            ducatur con
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            tingẽs ſectio
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            nẽin o, quæ
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            ipſi s l æqui-
              <lb/>
            diſtet; </s>
            <s xml:space="preserve">n o au
              <lb/>
            tem æquidi-
              <lb/>
              <anchor type="note" xlink:label="note-0055-01a" xlink:href="note-0055-01"/>
            ſtet p f: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">pri
              <lb/>
            mum ipſam
              <lb/>
            k ω ſecet, at-
              <lb/>
            quein pũcto
              <lb/>
            i ſimiliter ut
              <lb/>
            in ſuperiori-
              <lb/>
            bus demonſtrabitur no, uel ſeſquialtera ipſius oi, uel
              <lb/>
            maior, quàm ſeſquialtera. </s>
            <s xml:space="preserve">Sit autem o i minor, quam du-
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            pla ipſius in: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">o b dupla b n: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">diſponantur eadem,
              <lb/>
            quæſupra. </s>
            <s xml:space="preserve">Similiter demonſtrabimus, ſi ducatur linea r t,
              <lb/>
            facere eam angulos rectos cum linea c o, & </s>
            <s xml:space="preserve">cum ſuperficie
              <lb/>
            humidi. </s>
            <s xml:space="preserve">quare à punctis b g lineæ ductæipſi r t æquidiſtã
              <lb/>
            tes, etiã ad humidi ſuperfi-
              <lb/>
              <anchor type="figure" xlink:label="fig-0055-02a" xlink:href="fig-0055-02"/>
            ciẽ perpẽdiculares erunt.
              <lb/>
            </s>
            <s xml:space="preserve">portio igitur quæ eſt extra
              <lb/>
            humidũ deorſum feretur
              <lb/>
            ſecundum eam perpendi-
              <lb/>
            cularem, quæ per b tran-
              <lb/>
            ſit; </s>
            <s xml:space="preserve">quæ uero intra humi-
              <lb/>
            dum ſecundum eam, quæ
              <lb/>
            per g ſurſum ſeretur. </s>
            <s xml:space="preserve">ex
              <lb/>
            quibus conſtat reuolui ſo-
              <lb/>
            lidum, ita ut baſis ipſius
              <lb/>
            nullo modo humidi ſuper
              <lb/>
            ficiem contingat: </s>
            <s xml:space="preserve">quo-
              <lb/>
            niam nuncin uno puncto
              <lb/>
            contingens deorſum fer-</s>
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