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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ARCHIMEDIS
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        <div type="section" level="1" n="49">
          <p>
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            quadratum b d; </s>
            <s xml:space="preserve">in humidum demiſſa, & </s>
            <s xml:space="preserve">poſi-
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            ta inclinata adeo, ut baſis ipſius non contingat
              <lb/>
            humidum; </s>
            <s xml:space="preserve">conſiſtet inclinata, ita ut baſis in uno
              <lb/>
            puncto humidi ſuperficiem contingat: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis cũ
              <lb/>
            ea faciat angulum angulo φ æqualem.</s>
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          </p>
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        <div type="section" level="1" n="50">
          <head xml:space="preserve">IIII.</head>
          <p>
            <s xml:space="preserve">Si portio ad humidum in grauitate maiorem
              <lb/>
              <anchor type="note" xlink:label="note-0084-01a" xlink:href="note-0084-01"/>
            quidem proportionem habeat, quàm quadra-
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            tum f p ad quadratum b d; </s>
            <s xml:space="preserve">minorem uero,
              <lb/>
            quàm quadratum x o ad b d quadratum; </s>
            <s xml:space="preserve">in hu-
              <lb/>
            midum demiſſa, & </s>
            <s xml:space="preserve">inclinata adeo, ut baſis ipſius
              <lb/>
            non contingat humidum conſiſtet, & </s>
            <s xml:space="preserve">manebit
              <lb/>
            ita, ut baſis in humidum magis demergatur.</s>
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            <note position="left" xlink:label="note-0084-01" xlink:href="note-0084-01a" xml:space="preserve">B</note>
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        <div type="section" level="1" n="51">
          <head xml:space="preserve">V.</head>
          <p>
            <s xml:space="preserve">Si portio ad humidum in grauitate proportio
              <lb/>
            nem habeat minorem, quàm quadratum f p ad
              <lb/>
            quadratum b d: </s>
            <s xml:space="preserve">demiſſa in humidum, & </s>
            <s xml:space="preserve">poſita
              <lb/>
            inclinata adeo ut baſis ipſius non contingat humi
              <lb/>
            dum: </s>
            <s xml:space="preserve">conſiſtet inclinata, ita ut axis ipſius cum
              <lb/>
            humidi ſuperficie angulum faciat minorem an-
              <lb/>
            gulo φ: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">baſis nullo modo ſuperficiem humi-
              <lb/>
            di contingat. </s>
            <s xml:space="preserve">Hæc autem omnia deinceps de-
              <lb/>
            monſtrabuntur.</s>
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