Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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          <p>
            <s xml:id="echoid-s3746" xml:space="preserve">
              <pb o="62" file="0080" n="80" rhead=""/>
            NR, RX; </s>
            <s xml:id="echoid-s3747" xml:space="preserve">& </s>
            <s xml:id="echoid-s3748" xml:space="preserve">incidentinm AN, AR, AX reflexi GN, HR, IX
              <lb/>
              <note position="left" xlink:label="note-0080-01" xlink:href="note-0080-01a" xml:space="preserve">Fig. 85.</note>
            axi occurrant producti punctis K, L, M; </s>
            <s xml:id="echoid-s3749" xml:space="preserve">erit intervallum ML ab
              <lb/>
            obliquiorum occurſibus concluſum majus ipſo LK rectiorum occurſi-
              <lb/>
            bus intercepto.</s>
            <s xml:id="echoid-s3750" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3751" xml:space="preserve">Nam quoniam eſt ANq + AXq &</s>
            <s xml:id="echoid-s3752" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s3753" xml:space="preserve">2 ARq. </s>
            <s xml:id="echoid-s3754" xml:space="preserve">erit 2 ACq
              <lb/>
            - ANq - AXq &</s>
            <s xml:id="echoid-s3755" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s3756" xml:space="preserve">2 ACq - 2 ARq. </s>
            <s xml:id="echoid-s3757" xml:space="preserve">adeóque ACq -
              <lb/>
            - AXq. </s>
            <s xml:id="echoid-s3758" xml:space="preserve">ACq - ARq &</s>
            <s xml:id="echoid-s3759" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s3760" xml:space="preserve">ACq - ARq. </s>
            <s xml:id="echoid-s3761" xml:space="preserve">ACq - ANq.
              <lb/>
            </s>
            <s xml:id="echoid-s3762" xml:space="preserve">hoc eſt, è præmonſtratis, CL. </s>
            <s xml:id="echoid-s3763" xml:space="preserve">CM &</s>
            <s xml:id="echoid-s3764" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s3765" xml:space="preserve">CK. </s>
            <s xml:id="echoid-s3766" xml:space="preserve">CL; </s>
            <s xml:id="echoid-s3767" xml:space="preserve">vel inversè
              <lb/>
            CM. </s>
            <s xml:id="echoid-s3768" xml:space="preserve">CL &</s>
            <s xml:id="echoid-s3769" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s3770" xml:space="preserve">CL. </s>
            <s xml:id="echoid-s3771" xml:space="preserve">CK. </s>
            <s xml:id="echoid-s3772" xml:space="preserve">quapropter erit CM + CK. </s>
            <s xml:id="echoid-s3773" xml:space="preserve">&</s>
            <s xml:id="echoid-s3774" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s3775" xml:space="preserve">2 CL. </s>
            <s xml:id="echoid-s3776" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s3777" xml:space="preserve">ideò CM - CL &</s>
            <s xml:id="echoid-s3778" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s3779" xml:space="preserve">CL - CK hoc eſt ML &</s>
            <s xml:id="echoid-s3780" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s3781" xml:space="preserve">LK : </s>
            <s xml:id="echoid-s3782" xml:space="preserve">
              <lb/>
            Q E. </s>
            <s xml:id="echoid-s3783" xml:space="preserve">D.</s>
            <s xml:id="echoid-s3784" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3785" xml:space="preserve">XVIII. </s>
            <s xml:id="echoid-s3786" xml:space="preserve">Hinc conſtat, etiam in hac hypotheſi, rectiùs incidentem
              <lb/>
            lucem â reflectione magìs inſpiſſari; </s>
            <s xml:id="echoid-s3787" xml:space="preserve">ſeu ſpatio verſus limitem Z arcti-
              <lb/>
            ore conſtringi.</s>
            <s xml:id="echoid-s3788" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3789" xml:space="preserve">XIX. </s>
            <s xml:id="echoid-s3790" xml:space="preserve">Quin ab his demum omnibus colligitur, ſi uſpiam in axe
              <lb/>
            (velut ad O) conſtituatur oculi centrum, quod punctum A neceſſa-
              <lb/>
              <note position="left" xlink:label="note-0080-02" xlink:href="note-0080-02a" xml:space="preserve">Fig. 85.</note>
            riò circa limitem Z apparebit. </s>
            <s xml:id="echoid-s3791" xml:space="preserve">Etenim (prorſus ut in præcedente
              <lb/>
            quoad radios ab infinitè diſſito puncto manantes hypotheſi) ab axis
              <lb/>
            illi puncto adjacente parte radii cùm copioſiores, tum axi viciniores,
              <lb/>
            oculóque rectiores, efficaciâ proinde præpollentes, nec non qui
              <lb/>
            faciliùs re-adunentur, provenire videntur. </s>
            <s xml:id="echoid-s3792" xml:space="preserve">quæ nempe cuncta ſimul
              <lb/>
            ac emergentem propoſiti conſequentiam abunde, puto, dedimus
              <lb/>
            enucleata. </s>
            <s xml:id="echoid-s3793" xml:space="preserve">Succedit ut hâc parte defuncti pro viſu extra radiationis
              <lb/>
            axem collocato itidem imaginis ſedem definiamus. </s>
            <s xml:id="echoid-s3794" xml:space="preserve">veruntamen hæc,
              <lb/>
            quanquam haud ità quantitate multa , pro rei tamen obſcuritate for-
              <lb/>
            taſſis nimia videbuntur. </s>
            <s xml:id="echoid-s3795" xml:space="preserve">itaque jam opportunum autumo deſiſtere.</s>
            <s xml:id="echoid-s3796" xml:space="preserve"/>
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