Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
31 10
32
33 11
34
35 12
36
37 13
38
39 14
40
41 15
42
43 16
44
45 17
46
47 18
48
49 19
50
51 20
52
53 21
54
55 22
56
57 23
58
59 24
60
< >
page |< < of 213 > >|
ARCHIMEDIS
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="38">
          <p>
            <s xml:space="preserve">
              <pb file="0064" n="64" rhead="ARCHIMEDIS"/>
            midum demiſſa adeo, ut baſis ipſius tota ſit in hu
              <lb/>
            mido, & </s>
            <s xml:space="preserve">poſita inclinata, nec conuertetur ita, ut
              <lb/>
            axis ipſius ſecũdum perpendicularem ſit, nec ma
              <lb/>
            nebit inclinata, niſi quãdo axis cum ſuperficie hu
              <lb/>
            midi angulum fecerit æqualem angulo ſimiliter
              <lb/>
            ut prius, aſſumpto.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <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
              <lb/>
            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
              <lb/>
            æqualis ei, quæ uſque ad axem: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">c b ſeſquialtera b r.
              <lb/>
            </s>
            <s xml:space="preserve">Quam uero proportionem habet portio ad humidum in
              <lb/>
            grauitate, eam habeat exceſſus, quo quadratum b d exce-
              <lb/>
            dit quadratum f q, ad ipſum b d quadratum: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit f ipſius
              <lb/>
            q dupla. </s>
            <s xml:space="preserve">conſtat igitur exceſſum, quo quadratum b d ex-
              <lb/>
            cedit quadratum
              <lb/>
              <anchor type="figure" xlink:label="fig-0064-01a" xlink:href="fig-0064-01"/>
            b c ad quadratum
              <lb/>
            b d, minorem ha-
              <lb/>
            bere proportio-
              <lb/>
            nem, quàm exceſ-
              <lb/>
            ſus, quo quadratũ
              <lb/>
            b d excedit qua-
              <lb/>
            dratum f q ad b d
              <lb/>
            quadratum. </s>
            <s xml:space="preserve">eſt e-
              <lb/>
            nim b c exceſſus
              <lb/>
            quo axis portiõis
              <lb/>
            maior eſt, quã ſeſ-
              <lb/>
            quialter eius, quæ
              <lb/>
            uſque ad axem.
              <lb/>
            </s>
            <s xml:space="preserve">quare quadr atum
              <lb/>
              <anchor type="note" xlink:label="note-0064-01a" xlink:href="note-0064-01"/>
            b d magis excedit
              <lb/>
            quadratum f q, quàm b c quadratum: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">idcirco linea f q
              <lb/>
            minor eſt, quàm b c itemq; </s>
            <s xml:space="preserve">f minor, quàm br. </s>
            <s xml:space="preserve">Sit ipſi ſ</s>
          </p>
        </div>
      </text>
    </echo>