Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
191 40
192
193 41
194
195 42
196
197 43
198
199 44
200
201 45
202
203 46
204
205 47
206
207
208
209
210
211
212
< >
page |< < (24) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div91" type="section" level="1" n="36">
          <p>
            <s xml:id="echoid-s1369" xml:space="preserve">
              <pb o="24" file="0059" n="59" rhead="DE IIS QVAE VEH. IN AQVA."/>
            humidum ſecundum perpendicularem, quæ per z ad hu-
              <lb/>
            midi ſuperficiem ducta fuerit: </s>
            <s xml:id="echoid-s1370" xml:space="preserve">quæ autem eſt extra humi-
              <lb/>
            dum ſecundum eam, quæ per gintra humidum feretur. </s>
            <s xml:id="echoid-s1371" xml:space="preserve">nõ
              <lb/>
            ergo manebit portio ſic inclinata, ut ponitur: </s>
            <s xml:id="echoid-s1372" xml:space="preserve">ſed neque re
              <lb/>
            ſtituecur recta: </s>
            <s xml:id="echoid-s1373" xml:space="preserve">quoniam perpendicularium per z g ducta
              <lb/>
            rum, quæ quidem per z ducitur ad eas partes cadit, in qui
              <lb/>
            bus eſt l; </s>
            <s xml:id="echoid-s1374" xml:space="preserve">& </s>
            <s xml:id="echoid-s1375" xml:space="preserve">quæ per g ad eas, in quibus eſt a. </s>
            <s xml:id="echoid-s1376" xml:space="preserve">quare ſequi-
              <lb/>
            tur centrum z ſurſum ferri: </s>
            <s xml:id="echoid-s1377" xml:space="preserve">& </s>
            <s xml:id="echoid-s1378" xml:space="preserve">g deorſum. </s>
            <s xml:id="echoid-s1379" xml:space="preserve">ergo partes to
              <lb/>
            tius ſolidi, quæ ſunt ad a deorſum, quæ uero ad l ſurſum
              <lb/>
            ferentur. </s>
            <s xml:id="echoid-s1380" xml:space="preserve">Rurſus alia eadem ponantur: </s>
            <s xml:id="echoid-s1381" xml:space="preserve">axis autem
              <lb/>
            portionis cum ſuperficie humidi angulum faciat minorẽ
              <lb/>
            eo, qui eſt ad b. </s>
            <s xml:id="echoid-s1382" xml:space="preserve">minorem igitur proportionem habet qua
              <lb/>
              <note position="right" xlink:label="note-0059-01" xlink:href="note-0059-01a" xml:space="preserve">O</note>
            dratum p i ad quadratum i y, quàm quadratum e ψ ad
              <lb/>
            ψ b quadratum: </s>
            <s xml:id="echoid-s1383" xml:space="preserve">quare k r ad i y minorem proportionẽ
              <lb/>
            habet, quàm dimidium k r ad ψ b: </s>
            <s xml:id="echoid-s1384" xml:space="preserve">& </s>
            <s xml:id="echoid-s1385" xml:space="preserve">propterea i y maior
              <lb/>
            eſt, quam dupla ψ b. </s>
            <s xml:id="echoid-s1386" xml:space="preserve">eſt autem ipſius o i dupla. </s>
            <s xml:id="echoid-s1387" xml:space="preserve">ergo o i
              <lb/>
            ipſa ψ b maior e-
              <lb/>
              <figure xlink:label="fig-0059-01" xlink:href="fig-0059-01a" number="38">
                <image file="0059-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0059-01"/>
              </figure>
            rit. </s>
            <s xml:id="echoid-s1388" xml:space="preserve">ſed tota o ω eſt
              <lb/>
            æqualis ipſi r b:
              <lb/>
            </s>
            <s xml:id="echoid-s1389" xml:space="preserve">& </s>
            <s xml:id="echoid-s1390" xml:space="preserve">reliqua ω i mi-
              <lb/>
            nor quàm ψ r. </s>
            <s xml:id="echoid-s1391" xml:space="preserve">qua
              <lb/>
            re & </s>
            <s xml:id="echoid-s1392" xml:space="preserve">p h minor e-
              <lb/>
            rit, quàm f. </s>
            <s xml:id="echoid-s1393" xml:space="preserve">Quòd
              <lb/>
            cum m p ipſi f q
              <lb/>
            ſit æqualis, cõſtat
              <lb/>
            p m maiorẽ eſſe,
              <lb/>
            quàm ſeſquialterã
              <lb/>
            ipſius p h: </s>
            <s xml:id="echoid-s1394" xml:space="preserve">& </s>
            <s xml:id="echoid-s1395" xml:space="preserve">p h
              <lb/>
            minorem, quam
              <lb/>
            duplam h m. </s>
            <s xml:id="echoid-s1396" xml:space="preserve">Sit
              <lb/>
            p z ipſius z m du
              <lb/>
            pla. </s>
            <s xml:id="echoid-s1397" xml:space="preserve">Rurſus to-
              <lb/>
            tius quidem ſolidi centrum grauitatis erit pũctum t; </s>
            <s xml:id="echoid-s1398" xml:space="preserve">eius
              <lb/>
            uero partis, quæ intra humidum z: </s>
            <s xml:id="echoid-s1399" xml:space="preserve">& </s>
            <s xml:id="echoid-s1400" xml:space="preserve">iuncta z t </s>
          </p>
        </div>
      </text>
    </echo>
Impressum