Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
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          <head xml:id="echoid-head6" xml:space="preserve">RANVTIO FARNESIO
            <lb/>
          CARDINALI AMPLISSIMO
            <lb/>
          ET OPTIMO.</head>
          <p>
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              <emph style="sc">QVod</emph>
            tibi ſuperioribus diebus
              <lb/>
            pollicitus ſum, cum libellum
              <lb/>
            Ptolemæi de Analemmate in lu
              <lb/>
            cem proferrem, breui fore, vc
              <unsure/>
              <lb/>
            Archimedis etiam libri de ijs,
              <lb/>
            quæ in aqua vehuntur, & </s>
            <s xml:id="echoid-s4" xml:space="preserve">emen
              <lb/>
            datiores, & </s>
            <s xml:id="echoid-s5" xml:space="preserve">fortaſſe opera mea
              <lb/>
            illuſtriores ederentur: </s>
            <s xml:id="echoid-s6" xml:space="preserve">mihi non committendum eſ-
              <lb/>
            ſe duxi, vt iure optimo malum nomen, præſertim à
              <unsure/>
              <lb/>
            te, cui tantopere debeo, exiſtimari poſſem. </s>
            <s xml:id="echoid-s7" xml:space="preserve">quam-
              <lb/>
            uis cum mecum conſidero ſuſcepti negocij difficul
              <lb/>
            tates, quas multo plures, & </s>
            <s xml:id="echoid-s8" xml:space="preserve">multo grauiores, quàm
              <lb/>
            in libello de Analemmate deprehendi; </s>
            <s xml:id="echoid-s9" xml:space="preserve">vereor ne id
              <lb/>
            planè non aſſecutus ſim, quod ab initio ſpectaui, vt
              <lb/>
            mathematicarum diſciplinarum ſtudioſis hac in par-
              <lb/>
            te ſatisfacerem. </s>
            <s xml:id="echoid-s10" xml:space="preserve">cum enim græcus Archimedis co-
              <lb/>
            dex nondum in lucem venerit, non ſolum is, qui eum
              <lb/>
            latinitate donauit, multis in locis fœ de lapſus eſt, ve-
              <lb/>
            rum etiam codex ipſe, vt etiam interpres fatetur, ve-
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            tuſtate corruptus, & </s>
            <s xml:id="echoid-s11" xml:space="preserve">mancus eſt; </s>
            <s xml:id="echoid-s12" xml:space="preserve">duæq́; </s>
            <s xml:id="echoid-s13" xml:space="preserve">integræ
              <lb/>
            ἀποδείξεις, quas demonſtrationes dicimus, deperie-
              <lb/>
            runt. </s>
            <s xml:id="echoid-s14" xml:space="preserve">quæ iactura quantam vim habeat ad pertur-
              <lb/>
            bandum admirabilem illum ordinem, quo inter ſe
              <lb/>
            mathematicæ diſciplinæ quodãmodo connexæ </s>
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