Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[21. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.]
[22. PROPOSITIO II.]
[23. COMMENTARIVS.]
[24. PROPOSITIO III.]
[25. PROPOSITIO IIII.]
[26. COMMENTARIVS.]
[27. PROPOSITIO V.]
[28. COMMENTARIVS.]
[29. PROPOSITIO VI.]
[30. COMMENTARIVS.]
[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.]
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            cum adhuc Cardinalis eſſet, mihi, quæ ſua erat hu-
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            manitas, libros eiuſdem Archimedis de ijs, quæ ve-
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            huntur in aqua, latine redditos dono dedit. </s>
            <s xml:space="preserve">hos cum
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            ego, ut aliorum ſtudia incitarem, emendãdos, & </s>
            <s xml:space="preserve">cõ-
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            mentariis illuſtrandos ſuſcepiſſem, animaduerti dubi
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            tari non poſſe, quin Archimedes vel de hac materia
              <lb/>
            ſcripſiſſet, vel aliorum mathematicorum ſcripta per-
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            legiſſet. </s>
            <s xml:space="preserve">nam in iis tum alia nonnulla, tum maxime
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            illam propoſitionem, ut euidentem, & </s>
            <s xml:space="preserve">aliàs proba-
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            tam aſſumit, Centrũ grauitatis in portionibus conoi
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            dis rectan guli axem ita diuidere, vt pars, quæ ad verti
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            cem terminatur, alterius partis, quæ ad baſim dupla
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            ſit. </s>
            <s xml:space="preserve">Verum hæc ad eam partem mathematicarum
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            diſciplinarum præcipue refertur, in qua de centro
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            grauitatis corporum ſolidorum tractatur. </s>
            <s xml:space="preserve">non eſt au
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            tem conſentaneum Archimedem illum admirabilem
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            virum hanc propoſitionem ſibi argumentis con-
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            firmandam exiſtimaturum non fuiſſe, niſi eam vel
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            aliis in locis probauiſſet, vel ab aliis probatam eſſe
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            comperiſſet. </s>
            <s xml:space="preserve">quamobrem nequid in iis libris intel-
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            ligendis deſiderari poſſet, ſtatui hanc etiam partem
              <lb/>
            vel à veteribus prætermiſſam, vel tractatam quidem,
              <lb/>
            ſed in tenebris iacentem, non intactam relinquere;
              <lb/>
            </s>
            <s xml:space="preserve">atque ex aſsidua mathematicorum, præſertim Archi-
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            medis lectione, quæ mihi in mentem venerunt, ea in
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            medium afferre; </s>
            <s xml:space="preserve">ut centri grauitatis corporum ſoli-
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            dorum, ſi non perfectam, at certe aliquam noti-</s>
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