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 |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div252" type="section" level="1" n="86">
          <p>
            <s xml:id="echoid-s4120" xml:space="preserve">
              <pb file="0166" n="166" rhead="FED. COMMANDINI"/>
            compoſitam proportionem habet ex proportione baſiũ,
              <lb/>
            & </s>
            <s xml:id="echoid-s4121" xml:space="preserve">proportione altitudinum. </s>
            <s xml:id="echoid-s4122" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s4123" xml:space="preserve">pyramis, cuius ba-
              <lb/>
            ſis eſt quadrilaterum a b c d, & </s>
            <s xml:id="echoid-s4124" xml:space="preserve">altitudo e f ad pyramidem,
              <lb/>
              <figure xlink:label="fig-0166-01" xlink:href="fig-0166-01a" number="122">
                <image file="0166-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0166-01"/>
              </figure>
            cuius baſis quadrilaterum g h K l, & </s>
            <s xml:id="echoid-s4125" xml:space="preserve">altitudo m n, compoſi
              <lb/>
            tam habet proportionem ex proportione baſium a b c d,
              <lb/>
            g h k l, & </s>
            <s xml:id="echoid-s4126" xml:space="preserve">ex proportione altitudinum e f, m n. </s>
            <s xml:id="echoid-s4127" xml:space="preserve">quod qui-
              <lb/>
            dem demonſtraſſe oportebat.</s>
            <s xml:id="echoid-s4128" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4129" xml:space="preserve">Ex iam demonſtratis perſpicuum eſt, priſma
              <lb/>
            ta omnia, & </s>
            <s xml:id="echoid-s4130" xml:space="preserve">pyramides, in quibus axes cum baſi-
              <lb/>
            bus æquales angulos continent, proportionem
              <lb/>
            habere compoſitam ex baſium proportione, & </s>
            <s xml:id="echoid-s4131" xml:space="preserve">
              <lb/>
            proportione axium. </s>
            <s xml:id="echoid-s4132" xml:space="preserve">demonſttatum eſt enim, a-
              <lb/>
            xes inter ſe eandem proportionem habere, quam
              <lb/>
            ipſæ altitudines.</s>
            <s xml:id="echoid-s4133" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div254" type="section" level="1" n="87">
          <head xml:id="echoid-head94" xml:space="preserve">THE OREMA XVIII. PROPOSITIO XXII.</head>
          <p>
            <s xml:id="echoid-s4134" xml:space="preserve">
              <emph style="sc">Cvivslibet</emph>
            pyramidis, & </s>
            <s xml:id="echoid-s4135" xml:space="preserve">cuiuslibet </s>
          </p>
        </div>
      </text>
    </echo>
Impressum