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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DE IIS QVAE VEH. IN AQVA.
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              <pb o="13" file="0037" n="37" rhead="DE IIS QVAE VEH. IN AQVA."/>
            b: </s>
            <s xml:space="preserve">iunctaq; </s>
            <s xml:space="preserve">br producatur: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit g centrum grauitatis
              <lb/>
            reliquæ figuræ isla. </s>
            <s xml:space="preserve">ſimiliter demonſtrabitur angulum
              <lb/>
            rok acutu eſ-
              <lb/>
              <anchor type="figure" xlink:label="fig-0037-01a" xlink:href="fig-0037-01"/>
            ſe: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">perpendi
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            culare ab r ad
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            k ω ductam ca
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            dereinter k & </s>
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              <lb/>
            o, quæ ſit rt.
              <lb/>
            </s>
            <s xml:space="preserve">ſi autem à pun
              <lb/>
            ctis g b ducan
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            tur ipſi r t æqui
              <lb/>
            diſtantes; </s>
            <s xml:space="preserve">pars
              <lb/>
            quidem ſolidæ
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            magnitudinis,
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            quæ in humido eſt, ſurſum feretur ſecundum perpendicu-
              <lb/>
            larem per g ductam: </s>
            <s xml:space="preserve">quæ autem extra humidum ſecundũ
              <lb/>
            perpendicularem per b deorſum feretur: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">non manebit
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            ſolidum a p o l ſic habens in humido: </s>
            <s xml:space="preserve">ſed quod quidem
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            eſt ad a feretur ſurſum: </s>
            <s xml:space="preserve">quod autem ad l deorſum, donec
              <lb/>
            p f fiat ſecundum perpendicularem.</s>
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          <head xml:space="preserve">PROPOSITIO IIII.</head>
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              <emph style="sc">Recta</emph>
            portio conoidis rectanguli, quando
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            fuerit humido leuior, & </s>
            <s xml:space="preserve">axem habuerit maiorẽ,
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            qnàm ſeſquialterum eius, quæ uſque ad axem: </s>
            <s xml:space="preserve">ſi
              <lb/>
            in grauitate ad humidum æqualis molis non mi-
              <lb/>
            norem proportionem habeat ea, quàm quadra-
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            tũ, quod fit ab exceſſu, quo axis maior eſt, quàm
              <lb/>
            ſeſquialter eius, quæ uſque ad axẽ, habet ad qua-
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            dratum, quod ab axe; </s>
            <s xml:space="preserve">demiſſa in humidum, ita</s>
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