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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ARCHIMEDIS
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            cuius grauitas ſitipſi b æqualis: </s>
            <s xml:space="preserve">humidi ucro molem ha-
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            bentis æqualem magnitudini d, ſit grauitas æqualis b c.
              <lb/>
            </s>
            <s xml:space="preserve">Itaque compoſitis magnitudinibus a d, magnitudo ex
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            utriſque conſtans æque grauis erit, atque ipſum humidũ: </s>
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            grauitas enim utrarũque magnitudinum eſt æqualis utriſ-
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            que grauitatibus, uidelicet b c, & </s>
            <s xml:space="preserve">b: </s>
            <s xml:space="preserve">grauitas autem humi
              <lb/>
            di habentis molem æqualem utriſque magnitudinibus, eſt
              <lb/>
            eiſdem grauitatibus æqualis. </s>
            <s xml:space="preserve">Demisſis igitur magnitudini
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            bus, & </s>
            <s xml:space="preserve">in humidum proiectis æque graues erunt, atque hu
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            midum: </s>
            <s xml:space="preserve">neque ſurſum, neque deorſum ferentur: </s>
            <s xml:space="preserve">quoniam
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            magnitudo quidem a
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              <anchor type="figure" xlink:label="fig-0022-01a" xlink:href="fig-0022-01"/>
            grauior humido feretur
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            deorſum; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">eadem ui à
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            magnitudine d ſurſum
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            retrahetur: </s>
            <s xml:space="preserve">magnitudo
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            autem d humido leuior
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            feretur ſurſum tanta ui,
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            quanta eſt grauitas c:
              <lb/>
            </s>
            <s xml:space="preserve">demõſtratũ enim eſt ma
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              <anchor type="note" xlink:label="note-0022-01a" xlink:href="note-0022-01"/>
            gnitudines ſolidas hu-
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            mido leuiores, impulſas
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            in humidum tanta uiretrahi ſurſum, quanto humidum ha
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            bens molem magnitudini æqualem grauius eſt ipſa magni
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            tudine. </s>
            <s xml:space="preserve">Athumidum molem habens æqualem d, grauius
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            eſt, quam d, ipſa c grauitate. </s>
            <s xml:space="preserve">Conſtatigitur magnitudinem
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            a deorſum ferri tanta grauitate, quanta eſt c. </s>
            <s xml:space="preserve">quod de-
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            monſtrare oportebat.</s>
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            <figure xlink:label="fig-0022-01" xlink:href="fig-0022-01a">
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            <note position="left" xlink:label="note-0022-01" xlink:href="note-0022-01a" xml:space="preserve">6. huius.</note>
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          <head xml:space="preserve">POSITIO II.</head>
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            eorum, quæ in humido ſurſum
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            feruntur, vnumquodque ſurſum ferri ſecundum
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            perpendicularem, quæ per centrum grauitatis ip
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            ſorum ducitur.</s>
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