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

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              <pb o="99" file="505" n="505" rhead="LIBER III."/>
            aſpectus, ſemper arcus minor dimidia circuli forma aſſu-
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            mitur. </s>
            <s xml:id="echoid-s17685" xml:space="preserve">Minimus autem, dum illud circulum attingit meri-
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            dianum. </s>
            <s xml:id="echoid-s17686" xml:space="preserve">Sit enim primùm in oriente G, & </s>
            <s xml:id="echoid-s17687" xml:space="preserve">linea K M in
              <lb/>
            G refrangatur: </s>
            <s xml:id="echoid-s17688" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s17689" xml:space="preserve">planũ E, quod àtergo triãguli G K M
              <lb/>
            existit, educatur: </s>
            <s xml:id="echoid-s17690" xml:space="preserve">nihil enim referret, ſi quodlibet planũ ex
              <lb/>
            hiſce, quæ ſupra lineam G K, iuxta triangulũ K M G con-
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            ſistunt, eductum ſit. </s>
            <s xml:id="echoid-s17691" xml:space="preserve">Orbis itaq; </s>
            <s xml:id="echoid-s17692" xml:space="preserve">ſectura, circulus erit, ma-
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            ximus ſit E. </s>
            <s xml:id="echoid-s17693" xml:space="preserve">Lineæigitur à punctis G K hacratione du-
              <lb/>
            ctæ, haudquaquam in alio, & </s>
            <s xml:id="echoid-s17694" xml:space="preserve">alio quàm ſemicirculi illius
              <lb/>
            in quo E, puncto concurrent. </s>
            <s xml:id="echoid-s17695" xml:space="preserve">Nam cùm & </s>
            <s xml:id="echoid-s17696" xml:space="preserve">puncta G, K
              <lb/>
            data ſint, & </s>
            <s xml:id="echoid-s17697" xml:space="preserve">linea K M, data utrique erit & </s>
            <s xml:id="echoid-s17698" xml:space="preserve">linea M G.
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            </s>
            <s xml:id="echoid-s17699" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s17700" xml:space="preserve">ratio lineæ M G ad lineam M K. </s>
            <s xml:id="echoid-s17701" xml:space="preserve">Datam
              <lb/>
            igitur circunferentiam, punctum M attinget. </s>
            <s xml:id="echoid-s17702" xml:space="preserve">Sit itaque
              <lb/>
            ea, N M. </s>
            <s xml:id="echoid-s17703" xml:space="preserve">Quare circunferentiarum ſectio data eſt. </s>
            <s xml:id="echoid-s17704" xml:space="preserve">
              <lb/>
            Ad aliam enim quàm N M circunferentiam, ab eiſdem
              <lb/>
            punctis eadem ratio in eodem plano minimè cõſistit. </s>
            <s xml:id="echoid-s17705" xml:space="preserve">Ex-
              <lb/>
            tra deſcriptam igitur figuram, linea quædam nempe D B,
              <lb/>
            ſeorſim iaceat, ſeceturq́; </s>
            <s xml:id="echoid-s17706" xml:space="preserve">ad hunc modum, ut quomodo
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            linea M G ad lineam M K ſeſe habet, ita linea D ad
              <lb/>
            lineam B ſeſe habeat. </s>
            <s xml:id="echoid-s17707" xml:space="preserve">Maior autem eſt linea M G,
              <lb/>
            quàm linea M K: </s>
            <s xml:id="echoid-s17708" xml:space="preserve">quandoquidem turbinis refractio ſu-
              <lb/>
            per maiorem angulum fit: </s>
            <s xml:id="echoid-s17709" xml:space="preserve">ſub maiori enim angulo trian-
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            guli, M K G, porrigitur: </s>
            <s xml:id="echoid-s17710" xml:space="preserve">maior ergo eſt linea D li-
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            nea B. </s>
            <s xml:id="echoid-s17711" xml:space="preserve">Accedat igitur ad lineam B, linea F, aut quod eſt
              <lb/>
            linea D ad lineam B, id linea B F ad lineam D ſit: </s>
            <s xml:id="echoid-s17712" xml:space="preserve">déinde
              <lb/>
            quod eſt linea E, ad lineam K G, id linea B ad aliam, puta
              <lb/>
            K Q fiat: </s>
            <s xml:id="echoid-s17713" xml:space="preserve">atque à puncto Q ad punctum M, produ-
              <lb/>
            catur linea Q M. </s>
            <s xml:id="echoid-s17714" xml:space="preserve">Igitur punctum Q, circuli cui lineæ
              <lb/>
            à K profluentes ingruunt, uertex erit. </s>
            <s xml:id="echoid-s17715" xml:space="preserve">Nam ut linea F ſeſe
              <lb/>
            habet ad lineam K G: </s>
            <s xml:id="echoid-s17716" xml:space="preserve">& </s>
            <s xml:id="echoid-s17717" xml:space="preserve">linea B ad lineam K Q, ita &</s>
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