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 |< < (11) of 213 > >|
DE CENTRO GRA VIT. SOLID.
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="73">
          <p>
            <s xml:space="preserve">
              <pb o="11" file="0133" n="133" rhead="DE CENTRO GRA VIT. SOLID."/>
            & </s>
            <s xml:space="preserve">per o ducatur o p ad k m ipſi h g æquidiſtans. </s>
            <s xml:space="preserve">Itaque li
              <lb/>
            nea h m bifariã uſque eò diuidatur, quoad reliqua ſit pars
              <lb/>
            quædam q m, minor o p. </s>
            <s xml:space="preserve">deinde h m, m g diuidantur in
              <lb/>
            partes æ quales ipſi m q: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per diuiſiones lineæ ipſi m K
              <lb/>
            æ quidiſtantes ducantur. </s>
            <s xml:space="preserve">puncta uero, in quibus hæ trian-
              <lb/>
            gulorum latera ſecant, coniungantur ductis lineis r s, t u,
              <lb/>
              <anchor type="figure" xlink:label="fig-0133-01a" xlink:href="fig-0133-01"/>
            x y; </s>
            <s xml:space="preserve">quæ baſi g h æquidiſtabunt. </s>
            <s xml:space="preserve">Quoniam enim lineæ g z,
              <lb/>
            h α ſunt æ quales: </s>
            <s xml:space="preserve">itemq; </s>
            <s xml:space="preserve">æquales g m, m h: </s>
            <s xml:space="preserve">ut m g ad g z,
              <lb/>
            ita erit m h, ad h α: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">diuidendo, ut m z ad z g, ita m α ad
              <lb/>
            α h. </s>
            <s xml:space="preserve">Sed ut m z ad z g, ita k r ad r g: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ut m α ad α h, ita k s
              <lb/>
              <anchor type="note" xlink:label="note-0133-01a" xlink:href="note-0133-01"/>
            ad s h. </s>
            <s xml:space="preserve">quare ut κ r ad r g, ita k s ad s h. </s>
            <s xml:space="preserve">æ quidiſtant igitur
              <lb/>
              <anchor type="note" xlink:label="note-0133-02a" xlink:href="note-0133-02"/>
            inter ſe ſe r s, g h. </s>
            <s xml:space="preserve">eadem quoque ratione demonſtrabimus
              <lb/>
              <anchor type="note" xlink:label="note-0133-03a" xlink:href="note-0133-03"/>
            </s>
          </p>
        </div>
      </text>
    </echo>