Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
121 5
122
123 6
124
125 7
126
127 8
128
129 9
130
131 10
132
133 11
134
135 12
136
137 13
138
139 14
140
141 15
142
143 15
144 16
145 17
146
147 18
148
149 19
150
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div67" type="section" level="1" n="28">
          <p style="it">
            <s xml:id="echoid-s932" xml:space="preserve">
              <pb file="0044" n="44" rhead="ARCHIME DIS"/>
            dam non minor est proportio, quàm tertiæ & </s>
            <s xml:id="echoid-s933" xml:space="preserve">quartæ ad quartam;
              <lb/>
            </s>
            <s xml:id="echoid-s934" xml:space="preserve">est enim quadratum m o unà cum exceſſu, quo quadratum n o exce
              <lb/>
            dit quadratum m o æquale ipſi n o quadrato. </s>
            <s xml:id="echoid-s935" xml:space="preserve">quare per conuerſio
              <lb/>
            nem rationis ex 30 eiuſdem, primæ & </s>
            <s xml:id="echoid-s936" xml:space="preserve">ſecundæ ad primam non ma-
              <lb/>
            ior proportio erit, quàm tertiæ & </s>
            <s xml:id="echoid-s937" xml:space="preserve">quartæ ad tertiam: </s>
            <s xml:id="echoid-s938" xml:space="preserve">& </s>
            <s xml:id="echoid-s939" xml:space="preserve">idcirco to-
              <lb/>
            ta portio ad portionem eam, quæ est extra bumidum non maiorem
              <lb/>
            proportionem babebit, quàm quadratum n o ad quadratum mo. </s>
            <s xml:id="echoid-s940" xml:space="preserve">
              <lb/>
            quod demonstrandum proponebatur.</s>
            <s xml:id="echoid-s941" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s942" xml:space="preserve">Habet autem tota portio ad eam, quæ extra humidum
              <lb/>
              <note position="left" xlink:label="note-0044-01" xlink:href="note-0044-01a" xml:space="preserve">B</note>
            proportionem eandem, quam quadratum n o ad quadra
              <lb/>
            tum p f.</s>
            <s xml:id="echoid-s943" xml:space="preserve">] _Ex uigeſimaſexta libri de conoidibus, & </s>
            <s xml:id="echoid-s944" xml:space="preserve">ſpbæroi-_
              <lb/>
            _dibus._</s>
            <s xml:id="echoid-s945" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s946" xml:space="preserve">Ex quo eſſicitur, ut p ſ non ſit minor ipſa o m; </s>
            <s xml:id="echoid-s947" xml:space="preserve">neque
              <lb/>
              <note position="left" xlink:label="note-0044-02" xlink:href="note-0044-02a" xml:space="preserve">C</note>
            pb ipſa o h.</s>
            <s xml:id="echoid-s948" xml:space="preserve">] _Sequitur illud ex decima & </s>
            <s xml:id="echoid-s949" xml:space="preserve">decimaquarta quinti,_
              <lb/>
            _& </s>
            <s xml:id="echoid-s950" xml:space="preserve">ex uigeſimaſecunda ſexti elementorum, ut ſuperius dictum eſt._</s>
            <s xml:id="echoid-s951" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s952" xml:space="preserve">Quæ ergo ab h ducitur ad rectos angulos ipſi n o coi-
              <lb/>
              <note position="left" xlink:label="note-0044-03" xlink:href="note-0044-03a" xml:space="preserve">D</note>
            bit cum p b inter p & </s>
            <s xml:id="echoid-s953" xml:space="preserve">b.</s>
            <s xml:id="echoid-s954" xml:space="preserve">] _Cur boc ita contingat, nos proxi-_
              <lb/>
            _me explicauimus._</s>
            <s xml:id="echoid-s955" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div72" type="section" level="1" n="29">
          <head xml:id="echoid-head34" xml:space="preserve">PROPOSITIO VI.</head>
          <p>
            <s xml:id="echoid-s956" xml:space="preserve">
              <emph style="sc">Recta</emph>
            portio conoidis rectanguli, quando
              <lb/>
            leuior humido axem habuerit maiorem quidem
              <lb/>
            quàm ſeſquialterum eius, quæ uſque ad axem,
              <lb/>
            minorem nero, quàm ut ad eam, quæ uſque ad
              <lb/>
            axem proportionem habeat, quam quindecim
              <lb/>
            ad quatuor; </s>
            <s xml:id="echoid-s957" xml:space="preserve">in humidum demiſſa adeo, ut baſis
              <lb/>
            ipſius contingat humidum, nunquam conſiſtet
              <lb/>
            inclinata ita, ut baſis in uno puncto humidum
              <lb/>
            contingat.</s>
            <s xml:id="echoid-s958" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>