Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[11. PROPOSITIO IIII.]
[12. PROPOSITIO V.]
[13. PROPOSITIO VI.]
[14. PROPOSITIO VII.]
[15. POSITIO II.]
[16. COMMENTARIVS.]
[17. PROPOSITIO VIII.]
[18. COMMENTARIVS.]
[19. PROPOSITIO IX.]
[20. COMMENTARIVS.]
[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.]
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            <s xml:space="preserve">
              <pb file="0011" n="11"/>
            tim interpretis errore deprauata emendaui; </s>
            <s xml:space="preserve">partim
              <lb/>
            uetuſtate corrupta & </s>
            <s xml:space="preserve">conſumpta in priſtinam inte-
              <lb/>
            gritatem redegi, compluribus, quæ deſiderabantur,
              <lb/>
            meo, ut aiunt, marte ſuppletis. </s>
            <s xml:space="preserve">Deinde quoniam Ar-
              <lb/>
            chimedes, quemadmodum ſupra dixi, non nulla po-
              <lb/>
            nit, ut perſpicua, & </s>
            <s xml:space="preserve">quæ uel ipſe, uel ſuperiores ma-
              <lb/>
            thematici ἀποδείξεσι confirmauerunt, coactus ſum non
              <lb/>
            ſine maximo negotio ex ijs principijs conicæ diſcipli
              <lb/>
            næ Apollonij Pergæi, quæ in manus noſtras peruene-
              <lb/>
            rũt, nouas probationes adhibere, nequid eſſet, quod
              <lb/>
            diligentem lectorem in hac parte remorari poſſet. </s>
            <s xml:space="preserve">re
              <lb/>
            ſtabat, ut theorema illud, quod ſine cognitione cen-
              <lb/>
            tri grauitatis corporum ſolidorũ percipinon poteſt,
              <lb/>
            uidelicet, Centrum grauitatis in portionibus conoi-
              <lb/>
            dis rectanguli axem ita diuidere, ut pars, quæ ad uer-
              <lb/>
            ticem terminatur, reliquæ partis, quæ ad baſim ſit du
              <lb/>
            pla, certisſimis rationibus comprobarem. </s>
            <s xml:space="preserve">ſed huic
              <lb/>
            quoque rei prouiſum eſt à me: </s>
            <s xml:space="preserve">ſeorſumq́ ab his li-
              <lb/>
            bris de cẽtro grauitatis ſolidorũ uberrime cõſcripſi.
              <lb/>
            </s>
            <s xml:space="preserve">denique nihil prætermiſi, quod ad Archimedem in
              <lb/>
            hac materia illuſtrandum attineret. </s>
            <s xml:space="preserve">quod ſi, ut ſpero,
              <lb/>
            aſſecutus ſum, ſatis magnum fructum mihi cepiſſe ui
              <lb/>
            debor laborum, & </s>
            <s xml:space="preserve">uigiliarum mearum: </s>
            <s xml:space="preserve">ſin ſecus acci
              <lb/>
            derit, hoc me tamen conſolabor, quòd omnes intelli
              <lb/>
            gent, honeſtisſimo meo conſilio, non tã ingenij mei
              <lb/>
            imbecillitatem, quàm rei obſcuritatem, & </s>
            <s xml:space="preserve">temporũ
              <lb/>
            iniurias obſtitiſſe. </s>
            <s xml:space="preserve">Hoc loco ſuperuacaneum eſſe arbi
              <lb/>
            tror pluribus uerbis exponere, cur tibi amplisſime</s>
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