Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
71 30
72
73 37
74
75 32
76
77 25
78
79 34
80
81 35
82
83 36
84
85 37
86
87 38
88
89 39
90
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
< >
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