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 |< < (41) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div278" type="section" level="1" n="93">
          <p>
            <s xml:id="echoid-s4858" xml:space="preserve">
              <pb o="41" file="0193" n="193" rhead="DE CENTRO GRAVIT. SOLID."/>
            noidis ad portiones reliquas, ita alia linea, quæ ſit 1
              <emph style="sc">K</emph>
            ad
              <lb/>
            k e: </s>
            <s xml:id="echoid-s4859" xml:space="preserve">erit 1k maior, quam b k: </s>
            <s xml:id="echoid-s4860" xml:space="preserve">& </s>
            <s xml:id="echoid-s4861" xml:space="preserve">ideo punctum l extra por-
              <lb/>
            tionem cadet. </s>
            <s xml:id="echoid-s4862" xml:space="preserve">Quoniã
              <lb/>
              <figure xlink:label="fig-0193-01" xlink:href="fig-0193-01a" number="143">
                <image file="0193-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0193-01"/>
              </figure>
            igitur à figura circum-
              <lb/>
            ſcripta, cuius grauitatis
              <lb/>
            centrum eſt k, aufertur
              <lb/>
            portio conoidis, cuius
              <lb/>
            centrum e. </s>
            <s xml:id="echoid-s4863" xml:space="preserve">habetq; </s>
            <s xml:id="echoid-s4864" xml:space="preserve">l K
              <lb/>
            ad K e eam proportio-
              <lb/>
            nem, quam portio co-
              <lb/>
            noidis ad reliquas por-
              <lb/>
            tiones; </s>
            <s xml:id="echoid-s4865" xml:space="preserve">erit punctum l
              <lb/>
            extra portionem cadẽs,
              <lb/>
            centrum magnitudinis
              <lb/>
            ex reliquis portionibus compoſitæ. </s>
            <s xml:id="echoid-s4866" xml:space="preserve">illud autem fieri nullo
              <lb/>
            modo poteſt. </s>
            <s xml:id="echoid-s4867" xml:space="preserve">quare conſtat lineam k e ipſa g linea propoſi
              <lb/>
            ta minorem eſſe.</s>
            <s xml:id="echoid-s4868" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4869" xml:space="preserve">Rurfus inſcribatur portioni figura, uidelicet cylindr us
              <lb/>
            m n, ut ſit ipſius altitudo
              <lb/>
              <figure xlink:label="fig-0193-02" xlink:href="fig-0193-02a" number="144">
                <image file="0193-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0193-02"/>
              </figure>
            æqualis dimidio axis b d:
              <lb/>
            </s>
            <s xml:id="echoid-s4870" xml:space="preserve">& </s>
            <s xml:id="echoid-s4871" xml:space="preserve">quam proportionem
              <lb/>
            habet b e ad g, habeat m n
              <lb/>
            cylindrus ad ſolidum o. </s>
            <s xml:id="echoid-s4872" xml:space="preserve">
              <lb/>
            inſcrib itur deinde eidem
              <lb/>
            alia figura, ita ut portio-
              <lb/>
            nes reliquæ ſint ſolido o
              <lb/>
            minores: </s>
            <s xml:id="echoid-s4873" xml:space="preserve">& </s>
            <s xml:id="echoid-s4874" xml:space="preserve">centrum gra
              <lb/>
            uitatis figuræ ſit p. </s>
            <s xml:id="echoid-s4875" xml:space="preserve">Dico
              <lb/>
            lineam p e ipſa g minorẽ
              <lb/>
            eſſe. </s>
            <s xml:id="echoid-s4876" xml:space="preserve">ſi enim non ſit mi-
              <lb/>
            nor, eodem, quo ſupra modo demonſtrabimus figuram in
              <lb/>
            ſcriptam ad reliquas portiones maiorem proportionem
              <lb/>
            habere, quàm b e ad e p. </s>
            <s xml:id="echoid-s4877" xml:space="preserve">& </s>
            <s xml:id="echoid-s4878" xml:space="preserve">ſi fiat alia linea l e ad e p, ut eſt
              <lb/>
            figura inſcripta ad reliquas portiones, pũctum l extra </s>
          </p>
        </div>
      </text>
    </echo>
Impressum