Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[1. None]
[2. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.]
[3. CVM PRIVILEGIO IN ANNOS X. BONONIAE,]
[4. M D LXV.]
[5. RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[6. Federicus Commandinus.]
[7. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.]
[8. PROPOSITIO I.]
[9. PROPOSITIO II.]
[10. PROPOSITIO III.]
[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.]
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ARCHIMEDIS
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            midum demiſſa adeo, ut baſis ipſius tota ſit in hu
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            mido, & </s>
            <s xml:space="preserve">poſita inclinata, nec conuertetur ita, ut
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            axis ipſius ſecũdum perpendicularem ſit, nec ma
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            nebit inclinata, niſi quãdo axis cum ſuperficie hu
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            midi angulum fecerit æqualem angulo ſimiliter
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            ut prius, aſſumpto.</s>
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            <s xml:space="preserve">SIT portio, qualis dicta eſt: </s>
            <s xml:space="preserve">ponaturq; </s>
            <s xml:space="preserve">d b æ qualis axi
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            portionis: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">b _k_ quidem ſit dupla ipſius _k_ d; </s>
            <s xml:space="preserve">k r autem
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            æqualis ei, quæ uſque ad axem: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">c b ſeſquialtera b r.
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            </s>
            <s xml:space="preserve">Quam uero proportionem habet portio ad humidum in
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            grauitate, eam habeat exceſſus, quo quadratum b d exce-
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            dit quadratum f q, ad ipſum b d quadratum: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit f ipſius
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            q dupla. </s>
            <s xml:space="preserve">conſtat igitur exceſſum, quo quadratum b d ex-
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            cedit quadratum
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              <anchor type="figure" xlink:label="fig-0064-01a" xlink:href="fig-0064-01"/>
            b c ad quadratum
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            b d, minorem ha-
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            bere proportio-
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            nem, quàm exceſ-
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            ſus, quo quadratũ
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            b d excedit qua-
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            dratum f q ad b d
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            quadratum. </s>
            <s xml:space="preserve">eſt e-
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            nim b c exceſſus
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            quo axis portiõis
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            maior eſt, quã ſeſ-
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            quialter eius, quæ
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            uſque ad axem.
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            </s>
            <s xml:space="preserve">quare quadr atum
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              <anchor type="note" xlink:label="note-0064-01a" xlink:href="note-0064-01"/>
            b d magis excedit
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            quadratum f q, quàm b c quadratum: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">idcirco linea f q
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            minor eſt, quàm b c itemq; </s>
            <s xml:space="preserve">f minor, quàm br. </s>
            <s xml:space="preserve">Sit ipſi ſ</s>
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