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-s4548" xml:space="preserve">
              <pb o="72" file="0090" n="90" rhead=""/>
            cùm eum tunc reflexi convergentes appellant; </s>
            <s xml:id="echoid-s4549" xml:space="preserve">& </s>
            <s xml:id="echoid-s4550" xml:space="preserve">imago diſtinctior Z
              <lb/>
            poſt oculum conſiſtat. </s>
            <s xml:id="echoid-s4551" xml:space="preserve">quin ejuſmodi complures apparentias obſerva-
              <lb/>
            bitisipſi ſi lubet, & </s>
            <s xml:id="echoid-s4552" xml:space="preserve">ex his deducetis ‖</s>
          </p>
          <p>
            <s xml:id="echoid-s4553" xml:space="preserve">XVI. </s>
            <s xml:id="echoid-s4554" xml:space="preserve">Prætereà, _dato oculi centro, velut O, quonodo deſignandus_
              <lb/>
            _ſit ipſum pervadens reflexus_ (ceu N π) è ſuprà tractatis aliquatenus
              <lb/>
            adparet. </s>
            <s xml:id="echoid-s4555" xml:space="preserve">nec inibi generaliùs expoſitum _Problema_ libet h@c repo-
              <lb/>
              <note position="left" xlink:label="note-0090-01" xlink:href="note-0090-01a" xml:space="preserve">Fig. 103.</note>
            nere.</s>
            <s xml:id="echoid-s4556" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4557" xml:space="preserve">XVII. </s>
            <s xml:id="echoid-s4558" xml:space="preserve">Quinetiam antedicta recenſendo conſtabit, ſi biſecentur ſubtenſa
              <lb/>
            PN in E; </s>
            <s xml:id="echoid-s4559" xml:space="preserve">& </s>
            <s xml:id="echoid-s4560" xml:space="preserve">ſubtenſa N π in F; </s>
            <s xml:id="echoid-s4561" xml:space="preserve">ac fiat FZ. </s>
            <s xml:id="echoid-s4562" xml:space="preserve">ZN:</s>
            <s xml:id="echoid-s4563" xml:space="preserve">: EA. </s>
            <s xml:id="echoid-s4564" xml:space="preserve">NA;
              <lb/>
            </s>
            <s xml:id="echoid-s4565" xml:space="preserve">radiantis imaginem, visûs O reſpectu, circa punctum Z conſiſtere. </s>
            <s xml:id="echoid-s4566" xml:space="preserve">
              <lb/>
            planè ſimilis eſt diſcurſus, quorſum κικζ@‖</s>
          </p>
          <p>
            <s xml:id="echoid-s4567" xml:space="preserve">XVIII. </s>
            <s xml:id="echoid-s4568" xml:space="preserve">Supereſt tantùm, ut de poſteriore quem innuebamus caſu
              <lb/>
            paucula ſubdamus. </s>
            <s xml:id="echoid-s4569" xml:space="preserve">Eò, ponatur AC = AG = A γ; </s>
            <s xml:id="echoid-s4570" xml:space="preserve">indè quilibet
              <lb/>
            incidens cavo GB γ radius ipsâ AC minor erit; </s>
            <s xml:id="echoid-s4571" xml:space="preserve">ſit talis alicujus
              <lb/>
            AN reflexus N π; </s>
            <s xml:id="echoid-s4572" xml:space="preserve">qui nempe retro productus cum axe conveniet;
              <lb/>
            </s>
            <s xml:id="echoid-s4573" xml:space="preserve">puta ad K. </s>
            <s xml:id="echoid-s4574" xml:space="preserve">Etiam hic præcedentibus conformia deprehendentur,
              <lb/>
            & </s>
            <s xml:id="echoid-s4575" xml:space="preserve">ſuppari demonſtrabuntur modo; </s>
            <s xml:id="echoid-s4576" xml:space="preserve">qualia ſunt nempe</s>
          </p>
          <p>
            <s xml:id="echoid-s4577" xml:space="preserve">XIX. </s>
            <s xml:id="echoid-s4578" xml:space="preserve">AC. </s>
            <s xml:id="echoid-s4579" xml:space="preserve">AN:</s>
            <s xml:id="echoid-s4580" xml:space="preserve">: CK. </s>
            <s xml:id="echoid-s4581" xml:space="preserve">KN.</s>
            <s xml:id="echoid-s4582" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4583" xml:space="preserve">XX. </s>
            <s xml:id="echoid-s4584" xml:space="preserve">ACq - ANq. </s>
            <s xml:id="echoid-s4585" xml:space="preserve">CN q:</s>
            <s xml:id="echoid-s4586" xml:space="preserve">: AC. </s>
            <s xml:id="echoid-s4587" xml:space="preserve">CK.</s>
            <s xml:id="echoid-s4588" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4589" xml:space="preserve">XXI. </s>
            <s xml:id="echoid-s4590" xml:space="preserve">Radii AR ipſo AN obliquioris reflexus cum axe concurrat
              <lb/>
            in L; </s>
            <s xml:id="echoid-s4591" xml:space="preserve">erit CK. </s>
            <s xml:id="echoid-s4592" xml:space="preserve">CL:</s>
            <s xml:id="echoid-s4593" xml:space="preserve">: ACq - ARq. </s>
            <s xml:id="echoid-s4594" xml:space="preserve">ACq - ANq. </s>
            <s xml:id="echoid-s4595" xml:space="preserve">ac indè</s>
          </p>
          <p>
            <s xml:id="echoid-s4596" xml:space="preserve">XXII. </s>
            <s xml:id="echoid-s4597" xml:space="preserve">CK &</s>
            <s xml:id="echoid-s4598" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s4599" xml:space="preserve">CL.</s>
            <s xml:id="echoid-s4600" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4601" xml:space="preserve">XXIII. </s>
            <s xml:id="echoid-s4602" xml:space="preserve">Incidentium rectiorum (pares, ut ſuperiùs, arcus in re-
              <lb/>
            flectente ſumendo) reflexi concurſus habent a ſe minoribus intervallis
              <lb/>
            diſjunctos. </s>
            <s xml:id="echoid-s4603" xml:space="preserve">hæc, inquam, & </s>
            <s xml:id="echoid-s4604" xml:space="preserve">alia quoad reliquos caſus præmonſtra-
              <lb/>
            tis conformia, vel agnata perſimili quoque quoad hunc caſum metho-
              <lb/>
            do comprobantur. </s>
            <s xml:id="echoid-s4605" xml:space="preserve">quare pluribus tempero; </s>
            <s xml:id="echoid-s4606" xml:space="preserve">ſed enim id quod ubi-
              <lb/>
            que præcipuum etiam hîc exertiùs oſtendam; </s>
            <s xml:id="echoid-s4607" xml:space="preserve">præmiſſo tamen hoc, ad
              <lb/>
            ſequentia quoque concidenda non inutili, _Lemmatio:_</s>
            <s xml:id="echoid-s4608" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4609" xml:space="preserve">XXIV. </s>
            <s xml:id="echoid-s4610" xml:space="preserve">Detur recta BC; </s>
            <s xml:id="echoid-s4611" xml:space="preserve">in ea protracta deſignandum eſt punctum,
              <lb/>
            velut Z; </s>
            <s xml:id="echoid-s4612" xml:space="preserve">ita ut BZ ad CZ datam obtineat rationem, puta I ad R. </s>
            <s xml:id="echoid-s4613" xml:space="preserve">‖
              <lb/>
              <note position="left" xlink:label="note-0090-02" xlink:href="note-0090-02a" xml:space="preserve">Fig. 104.</note>
            Id facilè ſic exequimur.</s>
            <s xml:id="echoid-s4614" xml:space="preserve">‖</s>
          </p>
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