Archimedes, Archimedis De insidentibvs aqvae

Page concordance

< >
Scan Original
11 4
12
13 5
14
15 6
16
17
18
19 2
20
21 3
22
23 4
24
25 5
26
27 6
28
29 7
30
31 8
32
33 9
34
35 10
36
37 11
38
39 12
40
< >
page |< < of 51 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div20" type="section" level="1" n="15">
          <p style="it">
            <s xml:id="echoid-s192" xml:space="preserve">
              <pb file="0016" n="16" rhead="DE INSIDENTIBVS AQVAE"/>
            poſſibile non ſecundum perpendicularem ſit quæ z, t. </s>
            <s xml:id="echoid-s193" xml:space="preserve">Demenſtrandum igi-
              <lb/>
            tur quòd non manet figura ſecundum in rectum ſtatuetur, eſt autem cen-
              <lb/>
            trum ſpbæræ uſquez, t. </s>
            <s xml:id="echoid-s194" xml:space="preserve">Rurſum enim ſit ſigura maior emiſperio, & </s>
            <s xml:id="echoid-s195" xml:space="preserve">ſit
              <lb/>
              <figure xlink:label="fig-0016-01" xlink:href="fig-0016-01a" number="12">
                <image file="0016-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0016-01"/>
              </figure>
            centrum ſpbæræ uſque ad emiſperium ſcilicet t, in minori autem p, in maio
              <lb/>
            ri autem K, per K autem, & </s>
            <s xml:id="echoid-s196" xml:space="preserve">per centrum terræ l. </s>
            <s xml:id="echoid-s197" xml:space="preserve">ducatur k l. </s>
            <s xml:id="echoid-s198" xml:space="preserve">figura au
              <lb/>
            tem extra bumidum aſſumpta a ſuperficie bumidi axem babet in perpen-
              <lb/>
            diculari quæ per k, propter eandem prioribus eſt centrum grauitatis ipſius
              <lb/>
            in linean, k. </s>
            <s xml:id="echoid-s199" xml:space="preserve">Sit enim r, totius autem portionis centrum grauitatis eſt in
              <lb/>
            linea z, t, inter k, & </s>
            <s xml:id="echoid-s200" xml:space="preserve">z, & </s>
            <s xml:id="echoid-s201" xml:space="preserve">ſit c. </s>
            <s xml:id="echoid-s202" xml:space="preserve">Reliquæ ergo figur æ eius quæ in bumido
              <lb/>
            centrum erit in recta c, r, inducta & </s>
            <s xml:id="echoid-s203" xml:space="preserve">aſſumpta quæ babebit ad c, r, ean-
              <lb/>
            dem proportionem quam babet grauitas portionis quæ extra bumidum ad
              <lb/>
            grauitatem figuræ quæ in bumido. </s>
            <s xml:id="echoid-s204" xml:space="preserve">Sit autem o, centrum dictæfiguræ, & </s>
            <s xml:id="echoid-s205" xml:space="preserve">
              <lb/>
            per o, perpendiculari feretur igitur grauitas portionis quidem quæ est ex-
              <lb/>
            tra bumidum ſecundum recta n, r, o, ad deorſum, figuræ autem quæ in bu
              <lb/>
            mido ſecundum rectam o, l, ad ſurſum non manet igitur figura ſed partes
              <lb/>
            quidem figuræ quæ uerſus b, ferrentur ad deorſum. </s>
            <s xml:id="echoid-s206" xml:space="preserve">Quæ autem uerſus e,
              <lb/>
            adſurſum & </s>
            <s xml:id="echoid-s207" xml:space="preserve">ſuper boc erit donec quęz, t, ſecundum perpẽdicularem fiat.</s>
            <s xml:id="echoid-s208" xml:space="preserve"/>
          </p>
          <figure number="13">
            <image file="0016-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0016-02"/>
          </figure>
          <figure number="14">
            <image file="0016-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0016-03"/>
            <caption xml:id="echoid-caption1" style="it" xml:space="preserve">Explicit de Inſidentibus Aquæ Liber Primus.</caption>
          </figure>
        </div>
      </text>
    </echo>
Impressum