Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of figures

< >
[1. Figure]
[2. Figure]
[3. Figure]
[4. Figure]
[5. Figure]
[6. Figure]
[7. Figure]
[8. Figure]
[9. Figure]
[10. Figure]
[11. Figure]
[12. Figure]
[13. Figure]
[14. Figure]
[15. Figure]
[16. Figure]
[17. Figure]
[18. Figure]
[19. Figure]
[20. Figure]
[21. Figure]
[22. Figure]
[23. Figure]
[24. Figure]
[25. Figure]
[26. Figure]
[27. Figure]
[28. Figure]
[29. Figure]
[30. Figure]
< >
page |< < of 213 > >|
ARCHIMEDIS
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="25">
          <p>
            <s xml:space="preserve">
              <pb file="0038" n="38" rhead="ARCHIMEDIS"/>
            ut baſis ipſius humidum non contingat; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">poſi-
              <lb/>
            ta inclinata, non manebit inclinata, ſed recta re-
              <lb/>
            ſtituetur.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">SIT portio conoidis rectanguli, qualis dicta eſt: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">de-
              <lb/>
            miſſa in humidum, ſi fieri poteſt, non ſitrecta; </s>
            <s xml:space="preserve">ſed inclina-
              <lb/>
            ta: </s>
            <s xml:space="preserve">ſecta autem ipſa plano per axem, recto ad ſuperficiem
              <lb/>
            humidi, portionis quidem ſectio ſit rectanguli coni ſectio
              <lb/>
            a p o l, axis portionis, & </s>
            <s xml:space="preserve">ſectionis diameter n o; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſuper-
              <lb/>
            ficiei humidi ſectio ſit is. </s>
            <s xml:space="preserve">ſi igitur portio non eſt recta, nõ
              <lb/>
            faciet n o cum is angulos æquales. </s>
            <s xml:space="preserve">Ducatur k ω contin-
              <lb/>
            gens rectanguli coni ſectionem in p; </s>
            <s xml:space="preserve">æquidiſtanſq; </s>
            <s xml:space="preserve">ipſi
              <lb/>
            is: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">à puncto p ipſi o n æquidiſtans ducatur p f. </s>
            <s xml:space="preserve">Itaque
              <lb/>
            ſumantur centra grauitatum: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſolidi quidem a p o l cen
              <lb/>
            trum ſit r; </s>
            <s xml:space="preserve">eius autem, quod intra humidum, centrum b:
              <lb/>
            </s>
            <s xml:space="preserve">iunctaq; </s>
            <s xml:space="preserve">b r pro-
              <lb/>
              <anchor type="figure" xlink:label="fig-0038-01a" xlink:href="fig-0038-01"/>
            ducatur ad g, ut
              <lb/>
            g ſit centrũ graui
              <lb/>
            tatis ſolidi, quod
              <lb/>
            extra humidum.
              <lb/>
            </s>
            <s xml:space="preserve">Quoniam igitur
              <lb/>
            n o ipſius quidem
              <lb/>
            r o ſeſquialtera ẽ; </s>
            <s xml:space="preserve">
              <lb/>
            eius autẽ, quæ uſ-
              <lb/>
            que ad axẽ maior,
              <lb/>
            quàm ſeſquialte-
              <lb/>
            ra: </s>
            <s xml:space="preserve">patet r o maio
              <lb/>
              <anchor type="note" xlink:label="note-0038-01a" xlink:href="note-0038-01"/>
            rẽ eſſe, quàm quæ
              <lb/>
            uſq; </s>
            <s xml:space="preserve">ad axẽ. </s>
            <s xml:space="preserve">Sit ei,
              <lb/>
              <anchor type="note" xlink:label="note-0038-02a" xlink:href="note-0038-02"/>
            quæ uſque ad axẽ
              <lb/>
            æqualis r h: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">o h dupla ipſius h m. </s>
            <s xml:space="preserve">quòd cū n o ipſius r o
              <lb/>
              <anchor type="note" xlink:label="note-0038-03a" xlink:href="note-0038-03"/>
            ſeſquialtera ſit; </s>
            <s xml:space="preserve">item q; </s>
            <s xml:space="preserve">m o ipſius o h: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">reliqua n m reli
              <lb/>
              <anchor type="note" xlink:label="note-0038-04a" xlink:href="note-0038-04"/>
            quæ r h ſeſquialtera erit. </s>
            <s xml:space="preserve">ergo axis tanto maior eſt, quàm</s>
          </p>
        </div>
      </text>
    </echo>