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-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>