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-div247" type="section" level="1" n="85">
          <p>
            <s xml:id="echoid-s4067" xml:space="preserve">
              <pb file="0164" n="164" rhead="FED. COMMANDINI"/>
            qr, eodem, quo ſupra, modo oſtendemns f g ad p q, ut f h
              <lb/>
            ad p r. </s>
            <s xml:id="echoid-s4068" xml:space="preserve">ſed priſma a e ad ipſum k o eſt, ut f h ad p r. </s>
            <s xml:id="echoid-s4069" xml:space="preserve">ergo
              <lb/>
            & </s>
            <s xml:id="echoid-s4070" xml:space="preserve">ut f g axis ad axem p q. </s>
            <s xml:id="echoid-s4071" xml:space="preserve">ex quibus fit, ut pyramis a b c d f
              <lb/>
            ad pyrami-
              <lb/>
              <figure xlink:label="fig-0164-01" xlink:href="fig-0164-01a" number="120">
                <image file="0164-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0164-01"/>
              </figure>
            dẽ k l m n p
              <lb/>
            eandem-ha
              <lb/>
            beat pro-
              <lb/>
            portionẽ,
              <lb/>
            quãaxis ad
              <lb/>
            axẽ. </s>
            <s xml:id="echoid-s4072" xml:space="preserve">quod
              <lb/>
            demonſtrã
              <lb/>
            dũ fuerat.</s>
            <s xml:id="echoid-s4073" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4074" xml:space="preserve">Simili ra
              <lb/>
            tione in a-
              <lb/>
            liis priſma-
              <lb/>
            tibus & </s>
            <s xml:id="echoid-s4075" xml:space="preserve">py
              <lb/>
            ramidibus eadem demonſtrabuntur.</s>
            <s xml:id="echoid-s4076" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div252" type="section" level="1" n="86">
          <head xml:id="echoid-head93" xml:space="preserve">THEOREMA XVII. PROPOSITIO XXI.</head>
          <p>
            <s xml:id="echoid-s4077" xml:space="preserve">Priſmata omnia, & </s>
            <s xml:id="echoid-s4078" xml:space="preserve">pyramides inter ſe propor
              <lb/>
            tionem habent compoſitam ex proportione ba-
              <lb/>
            ſium, & </s>
            <s xml:id="echoid-s4079" xml:space="preserve">proportione altitudinum.</s>
            <s xml:id="echoid-s4080" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4081" xml:space="preserve">Sint duo priſmata a e, g m: </s>
            <s xml:id="echoid-s4082" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s4083" xml:space="preserve">priſmatis a e baſis qua
              <lb/>
            drilaterum a b c d, & </s>
            <s xml:id="echoid-s4084" xml:space="preserve">altitudo e f: </s>
            <s xml:id="echoid-s4085" xml:space="preserve">priſmatis uero g m ba-
              <lb/>
            fis quadrilaterum g h K l, & </s>
            <s xml:id="echoid-s4086" xml:space="preserve">altitudo m n. </s>
            <s xml:id="echoid-s4087" xml:space="preserve">Dico priſma a e
              <lb/>
            ad priſma g m proportionem habere compoſitam ex pro
              <lb/>
            portione baſis a b c d ad baſim g h k l, & </s>
            <s xml:id="echoid-s4088" xml:space="preserve">ex proportione
              <lb/>
            altitudinis e f, ad altitudinem m n.</s>
            <s xml:id="echoid-s4089" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4090" xml:space="preserve">Sint enim primum e f, m n æquales: </s>
            <s xml:id="echoid-s4091" xml:space="preserve">& </s>
            <s xml:id="echoid-s4092" xml:space="preserve">ut baſis a b c d
              <lb/>
            ad baſim g h k l, ita fiat linea, in qua o ad lineam, in qua p:
              <lb/>
            </s>
            <s xml:id="echoid-s4093" xml:space="preserve">ut autem e f ad m n, ita linea p ad lineam q. </s>
            <s xml:id="echoid-s4094" xml:space="preserve">erunt lineæ
              <lb/>
            p q inter ſe æquales. </s>
            <s xml:id="echoid-s4095" xml:space="preserve">Itaque priſma a e ad priſma g m </s>
          </p>
        </div>
      </text>
    </echo>
Impressum