Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
141 15
142
143 15
144 16
145 17
146
147 18
148
149 19
150
151 20
152
153 21
154
155 22
156
157 23
158
159 24
160
161 25
162
163 26
164
165 27
166
167 28
168
169 29
170
< >
page |< < (6) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div204" type="section" level="1" n="67">
          <p>
            <s xml:id="echoid-s3129" xml:space="preserve">
              <pb o="6" file="0123" n="123" rhead="DE CENTRO GRAVIT. SOLID."/>
            habebit maiorem proportionẽ,
              <lb/>
              <figure xlink:label="fig-0123-01" xlink:href="fig-0123-01a" number="79">
                <image file="0123-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0123-01"/>
              </figure>
            quam c b ad b a. </s>
            <s xml:id="echoid-s3130" xml:space="preserve">fiat o b ad b a,
              <lb/>
            ut figura rectilinea ad portio-
              <lb/>
            nes. </s>
            <s xml:id="echoid-s3131" xml:space="preserve">cum igitur à circulo, uel el-
              <lb/>
            lipſi, cuius grauitatis centrum
              <lb/>
            eſt b, auferatur figura rectilinea
              <lb/>
            e f g h k l m n, cuius centrum a;
              <lb/>
            </s>
            <s xml:id="echoid-s3132" xml:space="preserve">reliquæ magnitudinis ex portio
              <lb/>
              <note position="right" xlink:label="note-0123-01" xlink:href="note-0123-01a" xml:space="preserve">8. Archi-
                <lb/>
              medis.</note>
            nibus compoſitæ centrum graui
              <lb/>
            tatis erit in linea a b producta,
              <lb/>
            & </s>
            <s xml:id="echoid-s3133" xml:space="preserve">in puncto o, extra figuram po
              <lb/>
            ſito. </s>
            <s xml:id="echoid-s3134" xml:space="preserve">quod quidem fieri nullo mo
              <lb/>
            do poſſe perſpicuum eſt. </s>
            <s xml:id="echoid-s3135" xml:space="preserve">ſequi-
              <lb/>
            tur ergo, ut circuli & </s>
            <s xml:id="echoid-s3136" xml:space="preserve">ellipſis cen
              <lb/>
            trum grauitatis ſit punctum a,
              <lb/>
            idem quod figuræ centrum.</s>
            <s xml:id="echoid-s3137" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div206" type="section" level="1" n="68">
          <head xml:id="echoid-head75" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s3138" xml:space="preserve">Sit circulus, uel ellipſis a b c d,
              <lb/>
            cuius diameter d b, & </s>
            <s xml:id="echoid-s3139" xml:space="preserve">centrum e: </s>
            <s xml:id="echoid-s3140" xml:space="preserve">ducaturq; </s>
            <s xml:id="echoid-s3141" xml:space="preserve">per e recta li
              <lb/>
            nea a c, ſecans ipſam d b adrectos angulos. </s>
            <s xml:id="echoid-s3142" xml:space="preserve">erunt a d c,
              <lb/>
            a b c circuli, uel ellipſis dimidiæ portiones. </s>
            <s xml:id="echoid-s3143" xml:space="preserve">Itaque quo-
              <lb/>
            niam por
              <lb/>
              <figure xlink:label="fig-0123-02" xlink:href="fig-0123-02a" number="80">
                <image file="0123-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0123-02"/>
              </figure>
            tiõis a d c
              <lb/>
            cétrū gra-
              <lb/>
            uitatis eſt
              <lb/>
            in diame-
              <lb/>
            tro d e: </s>
            <s xml:id="echoid-s3144" xml:space="preserve">& </s>
            <s xml:id="echoid-s3145" xml:space="preserve">
              <lb/>
            portionis
              <lb/>
            a b c cen-
              <lb/>
            trum eſt ĩ
              <lb/>
            ipſa e b: </s>
            <s xml:id="echoid-s3146" xml:space="preserve">to
              <lb/>
            tius circu
              <lb/>
            li, uel ellipſis grauitatis centrum eritin diametro d b.
              <lb/>
            </s>
            <s xml:id="echoid-s3147" xml:space="preserve">Sit autem portionis a d c cẽtrum grauitatis f: </s>
            <s xml:id="echoid-s3148" xml:space="preserve">& </s>
            <s xml:id="echoid-s3149" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum