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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        <div type="section" level="1" n="62">
          <head xml:space="preserve">FEDERICI COMMANDINI
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          VRBINATIS LIBER DE CENTRO
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          GRAVITATIS SOLIDORVM.
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          DIFFINITIONES.</head>
          <p>
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              <emph style="sc">CEntrvm</emph>
            grauitatis, Pappus
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            Alexandrinus in octauo ma-
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            thematicarum collectionum
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            libro ita diffiniuit.</s>
            <s xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:space="preserve">λέγομεν δἐ κἐντρον βάρ
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            ους ἑκά στου σἀ
              <unsure/>
              <lb/>
            ματος {εἶ}ναι σημ\~ειον τικείμενον ἑντὸς, ἀφ
              <unsure/>
              <lb/>
            οὖ κα\’τ ἐποίνιαν ἀρτηθέν τό βάρ
              <unsure/>
            ος ἡμερ{εἶ}
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            φερ
              <unsure/>
            όμενον, καὶ φυλὰσσει τήν ἐξἀρχ\~νςθἐ-
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            σιν, οὐ μὴ περιτρ
              <unsure/>
            επ ὸμενον ἐντῆ φορ
              <unsure/>
            ᾶ. </s>
            <s xml:space="preserve">hoc eſt,</s>
          </p>
          <p>
            <s xml:space="preserve">Dicimus autem centrum grauitatis uniuſcu-
              <lb/>
            inſque corporis punctum quoddam intra poſi-
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            cum, à quo ſi graue appenſum mente concipia-
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            tur, dum fertur quieſcit; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſeruat eam, quam in
              <lb/>
            principio habebat poſitionem: </s>
            <s xml:space="preserve">neque in ipſa la-
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            tione circumuertitur.</s>
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          </p>
          <p>
            <s xml:space="preserve">Poſſumus etiam hoc modo diffinire.</s>
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          </p>
          <p>
            <s xml:space="preserve">Centrum grauitatis uniuſcuiuſque ſolidæ figu
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            ræ eſt punctum illud intra poſitum, circa quod
              <lb/>
            undique partes æqualium momentorum conſi-
              <lb/>
            ſtunt. </s>
            <s xml:space="preserve">ſi enim per tale centrum ducatur planum
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            figuram quomodocunque ſecans ſemper in par-</s>
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