Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
101 43
102
103
104
105
106
107
108
109
110
111
112
113 1
114
115 2
116
117 3
118
119 4
120
< >
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