Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
161 25
162
163 26
164
165 27
166
167 28
168
169 29
170
171 30
172
173 31
174
175 32
176
177 33
178
179 34
180
181 35
182
183 36
184
185 37
186
187 38
188
189 39
190
< >
page |< < (43) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div175" type="section" level="1" n="55">
          <pb o="43" file="0097" n="97" rhead="DE I _IS_ QVAE VEH. IN AQVA."/>
        </div>
        <div xml:id="echoid-div182" type="section" level="1" n="56">
          <head xml:id="echoid-head61" xml:space="preserve">DEMONSTRATIO QVARTAE PARTIS.</head>
          <p>
            <s xml:id="echoid-s2560" xml:space="preserve">HABEAT rurſum portio ad humidum in grauitate
              <lb/>
            proportionem quidem maiorem, quàm quadratum f p ad
              <lb/>
            quadratum b d; </s>
            <s xml:id="echoid-s2561" xml:space="preserve">minorem uero, quàm quadratum x o ad
              <lb/>
            b d quadratum: </s>
            <s xml:id="echoid-s2562" xml:space="preserve">& </s>
            <s xml:id="echoid-s2563" xml:space="preserve">quam proportionem habet portio ad
              <lb/>
            humidum in grauitate, eandem habeat quadratum, quod
              <lb/>
            fit à linea ψ ad quadratum b d. </s>
            <s xml:id="echoid-s2564" xml:space="preserve">erit ψ maior, quàm f p, & </s>
            <s xml:id="echoid-s2565" xml:space="preserve">mi
              <lb/>
            nor, quàm x o. </s>
            <s xml:id="echoid-s2566" xml:space="preserve">aptetur ergo quæ dam rectalinea i u inter
              <lb/>
            portiones a u q l, a x d interiecta, quæ ſit æqualis ψ, & </s>
            <s xml:id="echoid-s2567" xml:space="preserve">ipſi
              <lb/>
            b d æquidiſtans: </s>
            <s xml:id="echoid-s2568" xml:space="preserve">occurratq; </s>
            <s xml:id="echoid-s2569" xml:space="preserve">reliquæ ſectioni in y. </s>
            <s xml:id="echoid-s2570" xml:space="preserve">rurſus
              <lb/>
            u y dupla ipſius y i demonſtrabitur, ſicuti demonſtrata eſt
              <lb/>
            o g ipſius g x dupla. </s>
            <s xml:id="echoid-s2571" xml:space="preserve">ducatur autem ab u linea u ο, quæ ſe
              <lb/>
            ctionem a u q l in u contingat: </s>
            <s xml:id="echoid-s2572" xml:space="preserve">& </s>
            <s xml:id="echoid-s2573" xml:space="preserve">iuncta a i ad q produca
              <lb/>
            tur. </s>
            <s xml:id="echoid-s2574" xml:space="preserve">eodem modo oſtendemus lineam a i ipſi i q æqualem
              <lb/>
            eſſe: </s>
            <s xml:id="echoid-s2575" xml:space="preserve">& </s>
            <s xml:id="echoid-s2576" xml:space="preserve">a q ipſi
              <lb/>
              <figure xlink:label="fig-0097-01" xlink:href="fig-0097-01a" number="63">
                <image file="0097-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0097-01"/>
              </figure>
            u ω æquidiſtan-
              <lb/>
            tem. </s>
            <s xml:id="echoid-s2577" xml:space="preserve">Demon-
              <lb/>
            ſtrãdum eſt por
              <lb/>
            tionem in humi
              <lb/>
            dum demiſſam,
              <lb/>
            ĩclinatãq; </s>
            <s xml:id="echoid-s2578" xml:space="preserve">adeo,
              <lb/>
            ut baſis ipſius
              <lb/>
            non contingat
              <lb/>
            humidũ, ita con
              <lb/>
            ſiſtere, ut baſis
              <lb/>
            in humidũ ma-
              <lb/>
            gis demergatur
              <lb/>
            quam ut in uno
              <lb/>
            puncto eius ſu-
              <lb/>
            perficiem cõtin
              <lb/>
            gat. </s>
            <s xml:id="echoid-s2579" xml:space="preserve">Demittatur enim in humidum, ut dictum eſt; </s>
            <s xml:id="echoid-s2580" xml:space="preserve">& </s>
            <s xml:id="echoid-s2581" xml:space="preserve">iaceat
              <lb/>
            primo ſic inclinata, ut baſis nullo modo contingat ſuperfi-
              <lb/>
            ciem humidi. </s>
            <s xml:id="echoid-s2582" xml:space="preserve">ſecta autem ipſa plano per axem ad </s>
          </p>
        </div>
      </text>
    </echo>
Impressum