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 |< < (36) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div146" type="section" level="1" n="47">
          <p>
            <s xml:id="echoid-s2135" xml:space="preserve">
              <pb o="36" file="0083" n="83" rhead="DE IIS QVAE VEH. IN AQVA."/>
            ad unum.</s>
            <s xml:id="echoid-s2136" xml:space="preserve">] _Hoc nos proxime demonſtrauimus._</s>
            <s xml:id="echoid-s2137" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2138" xml:space="preserve">Demonſtratum eſt enim ſuperius portionem cuius axis
              <lb/>
              <note position="right" xlink:label="note-0083-01" xlink:href="note-0083-01a" xml:space="preserve">R</note>
            eſt maior, quàm ſeſquialter eius, quæ uſque ad axem, ſiad
              <lb/>
            humidum in grauitate non minorem proportionem ha-
              <lb/>
            beat &</s>
            <s xml:id="echoid-s2139" xml:space="preserve">c.</s>
            <s xml:id="echoid-s2140" xml:space="preserve">] _Illud uero demonſtrauit in quarta propoſitione buius_
              <lb/>
            _libri_.</s>
            <s xml:id="echoid-s2141" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div152" type="section" level="1" n="48">
          <head xml:id="echoid-head53" xml:space="preserve">II.</head>
          <p>
            <s xml:id="echoid-s2142" xml:space="preserve">Si portio ad humidum in grauitate minorem
              <lb/>
              <note position="right" xlink:label="note-0083-02" xlink:href="note-0083-02a" xml:space="preserve">A</note>
            quidem proportionem habeat, quàm quadra-
              <lb/>
            tum ſ b ad quadratum b d; </s>
            <s xml:id="echoid-s2143" xml:space="preserve">maiorem uero,
              <lb/>
            quàm quadratum x o ad quadratum b d; </s>
            <s xml:id="echoid-s2144" xml:space="preserve">de-
              <lb/>
            miſſa in humidum, adeo inclinata, ut baſis ip-
              <lb/>
            ſius non contingat humidum, inclinata conſi-
              <lb/>
            ſtet; </s>
            <s xml:id="echoid-s2145" xml:space="preserve">ita ut baſis ſuperficiem humidi nullo modo
              <lb/>
            contingat; </s>
            <s xml:id="echoid-s2146" xml:space="preserve">& </s>
            <s xml:id="echoid-s2147" xml:space="preserve">axis cum humidi ſuperficie angu-
              <lb/>
            lum faciat maiorem angulo χ.</s>
            <s xml:id="echoid-s2148" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div154" type="section" level="1" n="49">
          <head xml:id="echoid-head54" xml:space="preserve">III.</head>
          <p>
            <s xml:id="echoid-s2149" xml:space="preserve">Si portio ad humidum in grauitate, eam ha-
              <lb/>
            beat proportionem, quam quadratum x o ad
              <lb/>
            quadratum b d; </s>
            <s xml:id="echoid-s2150" xml:space="preserve">demiſſa in humidum inclinata
              <lb/>
            adeo, ut baſis ipſius non contingat humidum;
              <lb/>
            </s>
            <s xml:id="echoid-s2151" xml:space="preserve">conſiſtet, & </s>
            <s xml:id="echoid-s2152" xml:space="preserve">manebit ita, ut baſis in uno pun-
              <lb/>
            cto humidi ſuperficiem contingat: </s>
            <s xml:id="echoid-s2153" xml:space="preserve">& </s>
            <s xml:id="echoid-s2154" xml:space="preserve">axis cum
              <lb/>
            ſuperficie humidi angulũ faciat angulo χ æqualẽ. </s>
            <s xml:id="echoid-s2155" xml:space="preserve">
              <lb/>
            Quòd ſi portio ad humidum in grauitate cam
              <lb/>
            proportionem habeat, quam quadratum p f </s>
          </p>
        </div>
      </text>
    </echo>