Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
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
191 40
192
193 41
194
195 42
196
197 43
198
199 44
200
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div158" type="section" level="1" n="52">
          <p>
            <s xml:id="echoid-s2195" xml:space="preserve">
              <pb file="0086" n="86" rhead="ARCHIMEDIS"/>
            ipſi my æquidiſtans. </s>
            <s xml:id="echoid-s2196" xml:space="preserve">Demonſtrandum eſt portionem in
              <lb/>
              <note position="left" xlink:label="note-0086-01" xlink:href="note-0086-01a" xml:space="preserve">G</note>
            humidum demiſſam, inclinatamq; </s>
            <s xml:id="echoid-s2197" xml:space="preserve">adeo, ut baſis ipſius nõ
              <lb/>
            contingat humidum, inclinatam conſiſtere ita, ut baſis ſu-
              <lb/>
            perficiem humidi nullo modo contingat: </s>
            <s xml:id="echoid-s2198" xml:space="preserve">& </s>
            <s xml:id="echoid-s2199" xml:space="preserve">axis cum ea fa
              <lb/>
            ciat angulum angulo χ maiorem. </s>
            <s xml:id="echoid-s2200" xml:space="preserve">Demittatur enim in hu-
              <lb/>
            midum, conſiſtatq; </s>
            <s xml:id="echoid-s2201" xml:space="preserve">ita, ut baſis ipſius in uno puncto cõtin
              <lb/>
            gat humidi ſuperficiem: </s>
            <s xml:id="echoid-s2202" xml:space="preserve">& </s>
            <s xml:id="echoid-s2203" xml:space="preserve">ſecta ipſa portione per axem,
              <lb/>
            plano ad humidi ſuperficiem recto; </s>
            <s xml:id="echoid-s2204" xml:space="preserve">ſuperficiei quidẽ por-
              <lb/>
            tionis ſectio ſit a p o l rectanguli coni ſectio: </s>
            <s xml:id="echoid-s2205" xml:space="preserve">ſuperficiei
              <lb/>
            humidi ſectio ſit a o: </s>
            <s xml:id="echoid-s2206" xml:space="preserve">axis autem portionis, & </s>
            <s xml:id="echoid-s2207" xml:space="preserve">ſectionis dia
              <lb/>
            meter b d: </s>
            <s xml:id="echoid-s2208" xml:space="preserve">& </s>
            <s xml:id="echoid-s2209" xml:space="preserve">ſecetur b d in punctis k r, ut dictum eſt: </s>
            <s xml:id="echoid-s2210" xml:space="preserve">du-
              <lb/>
              <note position="left" xlink:label="note-0086-02" xlink:href="note-0086-02a" xml:space="preserve">H</note>
            catur etiam p g æquidiſtans ipſi a o, quæ ſectionem a p o l
              <lb/>
            contingat in p: </s>
            <s xml:id="echoid-s2211" xml:space="preserve">atque ab eo puncto ducatur p t æquidiſtãs
              <lb/>
            ipſi b d; </s>
            <s xml:id="echoid-s2212" xml:space="preserve">& </s>
            <s xml:id="echoid-s2213" xml:space="preserve">p s ad b d perpendicularis. </s>
            <s xml:id="echoid-s2214" xml:space="preserve">Itaque quoniam
              <lb/>
            portio ad humidum in grauitate eam proportionem ha-
              <lb/>
            bet, quam qua-
              <lb/>
              <figure xlink:label="fig-0086-01" xlink:href="fig-0086-01a" number="53">
                <image file="0086-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0086-01"/>
              </figure>
            dratũ, quod fit
              <lb/>
            à linea χ ad qua
              <lb/>
            dratum b d: </s>
            <s xml:id="echoid-s2215" xml:space="preserve">quã
              <lb/>
            uero proportio
              <lb/>
            nem habet por-
              <lb/>
            tio ad humidũ,
              <lb/>
            eandem pars ip
              <lb/>
            ſius demerſa ha
              <lb/>
            bet ad totã por
              <lb/>
            tionẽ: </s>
            <s xml:id="echoid-s2216" xml:space="preserve">& </s>
            <s xml:id="echoid-s2217" xml:space="preserve">quam
              <lb/>
            pars demerſa ad
              <lb/>
            totam, eandem
              <lb/>
            habet quadra-
              <lb/>
            tum t p ad b d
              <lb/>
            quadratum: </s>
            <s xml:id="echoid-s2218" xml:space="preserve">erit
              <lb/>
            linea ψ æqualis
              <lb/>
            ipſi t p. </s>
            <s xml:id="echoid-s2219" xml:space="preserve">quare & </s>
            <s xml:id="echoid-s2220" xml:space="preserve">lineæ m n, p t; </s>
            <s xml:id="echoid-s2221" xml:space="preserve">itemq, portiones a m q,
              <lb/>
            a p o inter ſe ſunt æquales. </s>
            <s xml:id="echoid-s2222" xml:space="preserve">Quòd cumin portionibus
              <lb/>
              <note position="left" xlink:label="note-0086-03" xlink:href="note-0086-03a" xml:space="preserve">K</note>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum