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

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          <pb o="98" file="0116" n="116" rhead=""/>
          <p>
            <s xml:id="echoid-s6486" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6487" xml:space="preserve">Si punctum Z cadat inter C, & </s>
            <s xml:id="echoid-s6488" xml:space="preserve">K, fac DZ + {I/R} KZ. </s>
            <s xml:id="echoid-s6489" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6490" xml:space="preserve">:
              <lb/>
              <note position="left" xlink:label="note-0116-01" xlink:href="note-0116-01a" xml:space="preserve">Fig. 152,
                <lb/>
              153.</note>
            DK. </s>
            <s xml:id="echoid-s6491" xml:space="preserve">DY; </s>
            <s xml:id="echoid-s6492" xml:space="preserve">& </s>
            <s xml:id="echoid-s6493" xml:space="preserve">cape DY ad partes lentis verſus K.</s>
            <s xml:id="echoid-s6494" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6495" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6496" xml:space="preserve">Si punctum Z cadat extra CK, & </s>
            <s xml:id="echoid-s6497" xml:space="preserve">ſit inſuper DZ &</s>
            <s xml:id="echoid-s6498" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s6499" xml:space="preserve">{I/R} KZ,
              <lb/>
            fac DZ &</s>
            <s xml:id="echoid-s6500" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s6501" xml:space="preserve">{I/R} KZ. </s>
            <s xml:id="echoid-s6502" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6503" xml:space="preserve">: DK. </s>
            <s xml:id="echoid-s6504" xml:space="preserve">DY; </s>
            <s xml:id="echoid-s6505" xml:space="preserve">& </s>
            <s xml:id="echoid-s6506" xml:space="preserve">cape DY ad partes lentis
              <lb/>
            verſus K.</s>
            <s xml:id="echoid-s6507" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6508" xml:space="preserve">3. </s>
            <s xml:id="echoid-s6509" xml:space="preserve">Si DZ = {I/R} KZ, imago Y infinitè diſtabit.</s>
            <s xml:id="echoid-s6510" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6511" xml:space="preserve">4. </s>
            <s xml:id="echoid-s6512" xml:space="preserve">Si DZ &</s>
            <s xml:id="echoid-s6513" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s6514" xml:space="preserve">{I/R} KZ; </s>
            <s xml:id="echoid-s6515" xml:space="preserve">fiat {I/R} KZ - DZ. </s>
            <s xml:id="echoid-s6516" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6517" xml:space="preserve">: DK. </s>
            <s xml:id="echoid-s6518" xml:space="preserve">DY, & </s>
            <s xml:id="echoid-s6519" xml:space="preserve">
              <lb/>
            cape DY ad partes lentis adverſas ipſi K.</s>
            <s xml:id="echoid-s6520" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6521" xml:space="preserve">De ſenſibiliter autem propinqua diſtantia radiantium ſeu divergentes
              <lb/>
            radios emittentium punctorum (qualia ſemper deſignat punctum A)
              <lb/>
            imagines (ut & </s>
            <s xml:id="echoid-s6522" xml:space="preserve">illæ quas ad ejuſmodi puncta convergentes efficiunt
              <lb/>
            radii) hoc pacto determinantur.</s>
            <s xml:id="echoid-s6523" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6524" xml:space="preserve">_I._ </s>
            <s xml:id="echoid-s6525" xml:space="preserve">Ad lentem plano-planam diverg.</s>
            <s xml:id="echoid-s6526" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Fig. 154,
            <lb/>
          155.</note>
          <p style="it">
            <s xml:id="echoid-s6527" xml:space="preserve">_II._ </s>
            <s xml:id="echoid-s6528" xml:space="preserve">Ad lentem plano-planam converg.</s>
            <s xml:id="echoid-s6529" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6530" xml:space="preserve">Fiat {R. </s>
            <s xml:id="echoid-s6531" xml:space="preserve">I :</s>
            <s xml:id="echoid-s6532" xml:space="preserve">: AB. </s>
            <s xml:id="echoid-s6533" xml:space="preserve">BZ, & </s>
            <s xml:id="echoid-s6534" xml:space="preserve">\\ I. </s>
            <s xml:id="echoid-s6535" xml:space="preserve">R :</s>
            <s xml:id="echoid-s6536" xml:space="preserve">: DZ. </s>
            <s xml:id="echoid-s6537" xml:space="preserve">DY.</s>
            <s xml:id="echoid-s6538" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6539" xml:space="preserve">Breviùs. </s>
            <s xml:id="echoid-s6540" xml:space="preserve">Fiat I. </s>
            <s xml:id="echoid-s6541" xml:space="preserve">I - R :</s>
            <s xml:id="echoid-s6542" xml:space="preserve">: BD. </s>
            <s xml:id="echoid-s6543" xml:space="preserve">AY.</s>
            <s xml:id="echoid-s6544" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6545" xml:space="preserve">_III._ </s>
            <s xml:id="echoid-s6546" xml:space="preserve">Ad lentem plano-convexam diverg.</s>
            <s xml:id="echoid-s6547" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Fig. 156.</note>
          <p style="it">
            <s xml:id="echoid-s6548" xml:space="preserve">_IV._ </s>
            <s xml:id="echoid-s6549" xml:space="preserve">Ad lentem plano concavam converg.</s>
            <s xml:id="echoid-s6550" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6551" xml:space="preserve">Fiat R. </s>
            <s xml:id="echoid-s6552" xml:space="preserve">I :</s>
            <s xml:id="echoid-s6553" xml:space="preserve">: AB. </s>
            <s xml:id="echoid-s6554" xml:space="preserve">BZ. </s>
            <s xml:id="echoid-s6555" xml:space="preserve">& </s>
            <s xml:id="echoid-s6556" xml:space="preserve">cum Z cadit</s>
          </p>
          <p>
            <s xml:id="echoid-s6557" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6558" xml:space="preserve">Extra DK, ſi {I/R} KZ &</s>
            <s xml:id="echoid-s6559" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s6560" xml:space="preserve">DZ; </s>
            <s xml:id="echoid-s6561" xml:space="preserve">fac {I/R} KZ - DZ. </s>
            <s xml:id="echoid-s6562" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6563" xml:space="preserve">:
              <lb/>
            DK. </s>
            <s xml:id="echoid-s6564" xml:space="preserve">DY; </s>
            <s xml:id="echoid-s6565" xml:space="preserve">& </s>
            <s xml:id="echoid-s6566" xml:space="preserve">cape DY ad partes lentis adverſus A.</s>
            <s xml:id="echoid-s6567" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6568" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6569" xml:space="preserve">Si {I/R} KZ = DZ; </s>
            <s xml:id="echoid-s6570" xml:space="preserve">imago diſtabit infinitè.</s>
            <s xml:id="echoid-s6571" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6572" xml:space="preserve">3. </s>
            <s xml:id="echoid-s6573" xml:space="preserve">Si {I/R} KZ &</s>
            <s xml:id="echoid-s6574" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s6575" xml:space="preserve">DZ; </s>
            <s xml:id="echoid-s6576" xml:space="preserve">fac DZ - {I/R} KZ. </s>
            <s xml:id="echoid-s6577" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6578" xml:space="preserve">: DK. </s>
            <s xml:id="echoid-s6579" xml:space="preserve">DY; </s>
            <s xml:id="echoid-s6580" xml:space="preserve">& </s>
            <s xml:id="echoid-s6581" xml:space="preserve">
              <lb/>
            eape DY verſus A.</s>
            <s xml:id="echoid-s6582" xml:space="preserve"/>
          </p>
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