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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DE CENTRO GRA VIT. SOLID.
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              <pb o="11" file="0133" n="133" rhead="DE CENTRO GRA VIT. SOLID."/>
            & </s>
            <s xml:space="preserve">per o ducatur o p ad k m ipſi h g æquidiſtans. </s>
            <s xml:space="preserve">Itaque li
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            nea h m bifariã uſque eò diuidatur, quoad reliqua ſit pars
              <lb/>
            quædam q m, minor o p. </s>
            <s xml:space="preserve">deinde h m, m g diuidantur in
              <lb/>
            partes æ quales ipſi m q: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per diuiſiones lineæ ipſi m K
              <lb/>
            æ quidiſtantes ducantur. </s>
            <s xml:space="preserve">puncta uero, in quibus hæ trian-
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            gulorum latera ſecant, coniungantur ductis lineis r s, t u,
              <lb/>
              <anchor type="figure" xlink:label="fig-0133-01a" xlink:href="fig-0133-01"/>
            x y; </s>
            <s xml:space="preserve">quæ baſi g h æquidiſtabunt. </s>
            <s xml:space="preserve">Quoniam enim lineæ g z,
              <lb/>
            h α ſunt æ quales: </s>
            <s xml:space="preserve">itemq; </s>
            <s xml:space="preserve">æquales g m, m h: </s>
            <s xml:space="preserve">ut m g ad g z,
              <lb/>
            ita erit m h, ad h α: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">diuidendo, ut m z ad z g, ita m α ad
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            α h. </s>
            <s xml:space="preserve">Sed ut m z ad z g, ita k r ad r g: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ut m α ad α h, ita k s
              <lb/>
              <anchor type="note" xlink:label="note-0133-01a" xlink:href="note-0133-01"/>
            ad s h. </s>
            <s xml:space="preserve">quare ut κ r ad r g, ita k s ad s h. </s>
            <s xml:space="preserve">æ quidiſtant igitur
              <lb/>
              <anchor type="note" xlink:label="note-0133-02a" xlink:href="note-0133-02"/>
            inter ſe ſe r s, g h. </s>
            <s xml:space="preserve">eadem quoque ratione demonſtrabimus
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              <anchor type="note" xlink:label="note-0133-03a" xlink:href="note-0133-03"/>
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