Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
151 20
152
153 21
154
155 22
156
157 23
158
159 24
160
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
< >
page |< < (29) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div120" type="section" level="1" n="40">
          <p>
            <s xml:id="echoid-s1668" xml:space="preserve">
              <pb o="29" file="0069" n="69" rhead="DE IIS QVAE VEH. IN AQVA."/>
            interdũ quidem ita, ut baſis in humidum magis
              <lb/>
              <note position="right" xlink:label="note-0069-01" xlink:href="note-0069-01a" xml:space="preserve">C</note>
            demergatur: </s>
            <s xml:id="echoid-s1669" xml:space="preserve">interdum uero ita, ut ſuperficiem
              <lb/>
              <note position="right" xlink:label="note-0069-02" xlink:href="note-0069-02a" xml:space="preserve">D</note>
            humidi nullo modo contingat; </s>
            <s xml:id="echoid-s1670" xml:space="preserve">ſecundum pro-
              <lb/>
              <note position="right" xlink:label="note-0069-03" xlink:href="note-0069-03a" xml:space="preserve">E</note>
            portionem, quam habet ad humidum in grauita-
              <lb/>
            te. </s>
            <s xml:id="echoid-s1671" xml:space="preserve">Eorum quæ dicta ſunt, ſingula inferius de-
              <lb/>
            monſtrabuntur.</s>
            <s xml:id="echoid-s1672" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1673" xml:space="preserve">SIT portio qualis dicta eſt: </s>
            <s xml:id="echoid-s1674" xml:space="preserve">& </s>
            <s xml:id="echoid-s1675" xml:space="preserve">ſecta ipſa plano per axẽ.
              <lb/>
            </s>
            <s xml:id="echoid-s1676" xml:space="preserve">recto ad ſuperficiem humidi, ſectio ſit a p o l rectanguli co
              <lb/>
            ni ſeccio: </s>
            <s xml:id="echoid-s1677" xml:space="preserve">axis portionis, & </s>
            <s xml:id="echoid-s1678" xml:space="preserve">ſectionis diameter b d: </s>
            <s xml:id="echoid-s1679" xml:space="preserve">ſece-
              <lb/>
            turq; </s>
            <s xml:id="echoid-s1680" xml:space="preserve">b d in puncto quidem _k_ ita, ut b k dupla ſitipſius
              <lb/>
            _k_ d: </s>
            <s xml:id="echoid-s1681" xml:space="preserve">in c uero ita, ut b d ad
              <emph style="sc">K C</emph>
            proportionẽ habeat ean-
              <lb/>
            dem, quam quindecim ad quatuor. </s>
            <s xml:id="echoid-s1682" xml:space="preserve">conſtat igitur k c ma-
              <lb/>
              <note position="right" xlink:label="note-0069-04" xlink:href="note-0069-04a" xml:space="preserve">F</note>
            iorem eſſe, quàm quæ uſque ad axem. </s>
            <s xml:id="echoid-s1683" xml:space="preserve">Sit ei quæ uſque ad
              <lb/>
              <note position="right" xlink:label="note-0069-05" xlink:href="note-0069-05a" xml:space="preserve">G</note>
            axem æqualis k r: </s>
            <s xml:id="echoid-s1684" xml:space="preserve">& </s>
            <s xml:id="echoid-s1685" xml:space="preserve">ipſius k r ſeſquialtera d s. </s>
            <s xml:id="echoid-s1686" xml:space="preserve">Eſt autem
              <lb/>
              <note position="right" xlink:label="note-0069-06" xlink:href="note-0069-06a" xml:space="preserve">H</note>
            & </s>
            <s xml:id="echoid-s1687" xml:space="preserve">s b ſeſquial-
              <lb/>
              <figure xlink:label="fig-0069-01" xlink:href="fig-0069-01a" number="43">
                <image file="0069-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0069-01"/>
              </figure>
            tera ipſius b r.
              <lb/>
            </s>
            <s xml:id="echoid-s1688" xml:space="preserve">Itaque iũgatur
              <lb/>
            a b, & </s>
            <s xml:id="echoid-s1689" xml:space="preserve">per c du
              <lb/>
            catur c e per-
              <lb/>
            pẽdicularis ad
              <lb/>
            b d, quæ lineã
              <lb/>
            a b in puncto
              <lb/>
            e ſecet: </s>
            <s xml:id="echoid-s1690" xml:space="preserve">& </s>
            <s xml:id="echoid-s1691" xml:space="preserve">per
              <lb/>
            e ducatur e z
              <lb/>
            æquidiſtãs b d. </s>
            <s xml:id="echoid-s1692" xml:space="preserve">
              <lb/>
            Rurſus ipſa a b
              <lb/>
            bifariã in t di-
              <lb/>
            uiſa, ducatur t
              <lb/>
            h eidem b d æ-
              <lb/>
            quidiſtans: </s>
            <s xml:id="echoid-s1693" xml:space="preserve">& </s>
            <s xml:id="echoid-s1694" xml:space="preserve">
              <lb/>
            intelligantur rectanguli coni ſectiones deſcriptæ a e i </s>
          </p>
        </div>
      </text>
    </echo>
Impressum