Aristoteles, Physicorvm Aristotelis, sev, de natvrali auscultatione, libri octo

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              <pb o="101" file="507" n="507" rhead="LIBER III."/>
            punctum M refrangi ſolent, omnibus in planis conſimili-
              <lb/>
            ter ſeſe habebunt, efficientqúe angulum æqualem, nempe
              <lb/>
            K M G: </s>
            <s xml:id="echoid-s17751" xml:space="preserve">& </s>
            <s xml:id="echoid-s17752" xml:space="preserve">quem angulum lineæ K Q, & </s>
            <s xml:id="echoid-s17753" xml:space="preserve">Q M, ſu-
              <lb/>
            per lineam G Q committent, ſemper æqualis erit. </s>
            <s xml:id="echoid-s17754" xml:space="preserve">Igi-
              <lb/>
            tur trianguli ſemper lineam G Q constituti, triangu-
              <lb/>
            lo G M Q æquales ſunt: </s>
            <s xml:id="echoid-s17755" xml:space="preserve">horum autem perpendicula,
              <lb/>
            in idem punctum lineæ G Q cadent, atq; </s>
            <s xml:id="echoid-s17756" xml:space="preserve">æqualia inter
              <lb/>
            ſe erunt. </s>
            <s xml:id="echoid-s17757" xml:space="preserve">Cadant in O, igitur O, circuli centrum existit:
              <lb/>
            </s>
            <s xml:id="echoid-s17758" xml:space="preserve">cuius partem alteram, nempe eam, quæ circa M N bo-
              <lb/>
            rizon abſtulit.</s>
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          <figure number="9">
            <image file="507-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/731P9Q9Y/figures/507-01"/>
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            <s xml:id="echoid-s17760" xml:space="preserve">Rurſum, ſit horizon A C, ſupra quẽ iam ſubiectũ ſit pun-
              <lb/>
            ctum G: </s>
            <s xml:id="echoid-s17761" xml:space="preserve">ſitq́ nũc axis: </s>
            <s xml:id="echoid-s17762" xml:space="preserve">G Q. </s>
            <s xml:id="echoid-s17763" xml:space="preserve">Reliquaomnia, haud ſecus
              <lb/>
            atq; </s>
            <s xml:id="echoid-s17764" xml:space="preserve">prius ostendẽtur. </s>
            <s xml:id="echoid-s17765" xml:space="preserve">Circuli enim uertex Q, ſub horizõ-
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            te A C, eleuato pũcto G, erit. </s>
            <s xml:id="echoid-s17766" xml:space="preserve">Vertex autẽ circuli, & </s>
            <s xml:id="echoid-s17767" xml:space="preserve">cen-
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            trum tam circuli, quàm eius, qui nunc pũcti eleuationẽ ter-
              <lb/>
            minat (is enim eſt G Q) in eadem linea ſunt. </s>
            <s xml:id="echoid-s17768" xml:space="preserve">Cùm uerò
              <lb/>
            puncta K G, ſupra diametrũ A C ſint, circuli centrũ ſcili-
              <lb/>
            cet O ſub priori terminante, nempe A C, in linea K Q
              <lb/>
            erit. </s>
            <s xml:id="echoid-s17769" xml:space="preserve">Quare portio, quæ ſupra horizontem existit, ut S T
              <lb/>
            ſole ſupra eandem eleuato, minor ſemicirculo erit: </s>
            <s xml:id="echoid-s17770" xml:space="preserve">nam
              <lb/>
            R S T, ſemicirculus erat, nube autem à terminante A C
              <lb/>
            interfectus eſt: </s>
            <s xml:id="echoid-s17771" xml:space="preserve">portio itaq; </s>
            <s xml:id="echoid-s17772" xml:space="preserve">B S. </s>
            <s xml:id="echoid-s17773" xml:space="preserve">minimè apparebit.</s>
            <s xml:id="echoid-s17774" xml:space="preserve"/>
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