Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
1
2
3
4
5
6
7
8
9
10
11
12
13 1
14
15 2
16
17 3
18
19 4
20
21 5
22
23 6
24
25 7
26
27 8
28
29 9
30
< >
page |< < of 213 > >|
ARCHIMEDIS
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="19">
          <p>
            <s xml:space="preserve">
              <pb file="0028" n="28" rhead="ARCHIMEDIS"/>
            extra humidi ſuperficiem, axem habetin perpendiculari
              <lb/>
            per _k_: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propter ea, quæ ſuperius dicta ſunt, centrum gra-
              <lb/>
            uitatis ipſius eſt in linea n _k_, quod ſitr; </s>
            <s xml:space="preserve">totius autem por-
              <lb/>
            tionis centrum grauitatis eſt in linea f t, inter _k_ & </s>
            <s xml:space="preserve">f, quod
              <lb/>
            ſit x. </s>
            <s xml:space="preserve">reliquæ ergo figuræ, eius ſcilicet, quæ eſt in humido,
              <lb/>
            centrum erit in rectalinea r x producta ad partes x; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">aſ-
              <lb/>
              <anchor type="figure" xlink:label="fig-0028-01a" xlink:href="fig-0028-01"/>
            ſumpta ex ea linea quadam, quæ ad x r eandem habeat pro
              <lb/>
            portionem, quam grauitas portionis, quæ eſt extra humi-
              <lb/>
            dum, ad grauitatem figuræ, quæ in humido. </s>
            <s xml:space="preserve">Sit autem o
              <lb/>
            centrum dictæ figuræ: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per o perpendicularis ducatur
              <lb/>
            l o. </s>
            <s xml:space="preserve">Feretur ergo grauitas portionis quidem, quæ eſt ex-
              <lb/>
            tra humidum, per rectam r l deorſum; </s>
            <s xml:space="preserve">figuræ autem, quæ
              <lb/>
            in humido, per rectam o l ſurſum. </s>
            <s xml:space="preserve">non manet igitur flgu-
              <lb/>
            ra; </s>
            <s xml:space="preserve">ſed partes eius, quæ ſuntad h, deorſum ferẽtur; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quæ
              <lb/>
            ad e ſurſum. </s>
            <s xml:space="preserve">atque hoc ſemper erit, donec f t ſecundum
              <lb/>
            perpendicularem fiat.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <note position="right" xlink:label="note-0027-01" xlink:href="note-0027-01a" xml:space="preserve">A</note>
            <figure xlink:label="fig-0028-01" xlink:href="fig-0028-01a">
              <image file="0028-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0028-01"/>
            </figure>
          </div>
        </div>
        <div type="section" level="1" n="20">
          <head xml:space="preserve">COMMENTARIVS.</head>
          <p>
            <s xml:space="preserve">ITAQVE figura, quæ extra humidi ſuperficiem,
              <lb/>
              <anchor type="note" xlink:label="note-0028-01a" xlink:href="note-0028-01"/>
            axem habet in perpendiculari per _k_.</s>
            <s xml:space="preserve">]</s>
          </p>
          <div type="float" level="2" n="1">
            <note position="left" xlink:label="note-0028-01" xlink:href="note-0028-01a" xml:space="preserve">A</note>
          </div>
          <p style="it">
            <s xml:space="preserve">
              <emph style="sc">D_vcatvr_</emph>
            enim b c, quæ ſecet lineam n k in m: </s>
            <s xml:space="preserve">ipſa uero
              <lb/>
            n k circunferentiam a b c d ſecet in g. </s>
            <s xml:space="preserve">eodem modo, quo ſupra, de-</s>
          </p>
        </div>
      </text>
    </echo>