Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
51 20
52
53 21
54
55 22
56
57 23
58
59 24
60
61 25
62
63 26
64
65 27
66
67 22
68
69 29
70
71 30
72
73 37
74
75 32
76
77 25
78
79 34
80
< >
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>