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

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[111.] _Theor_. VI.
Page: 344 (151)
[112.] FINIS.
Page: 344 (151)
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            <s xml:id="echoid-s6583" xml:space="preserve">4. </s>
            <s xml:id="echoid-s6584" xml:space="preserve">Cùm Z cadit inter puncta D, K; </s>
            <s xml:id="echoid-s6585" xml:space="preserve">fac DZ + {I/R} KZ. </s>
            <s xml:id="echoid-s6586" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6587" xml:space="preserve">:
              <lb/>
            DK. </s>
            <s xml:id="echoid-s6588" xml:space="preserve">DY; </s>
            <s xml:id="echoid-s6589" xml:space="preserve">& </s>
            <s xml:id="echoid-s6590" xml:space="preserve">cape DY verſus A.</s>
            <s xml:id="echoid-s6591" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6592" xml:space="preserve">_V._ </s>
            <s xml:id="echoid-s6593" xml:space="preserve">Ad lentem plano-concavam diverg.</s>
            <s xml:id="echoid-s6594" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Fig. 156,
            <lb/>
          157.</note>
          <p style="it">
            <s xml:id="echoid-s6595" xml:space="preserve">_VI._ </s>
            <s xml:id="echoid-s6596" xml:space="preserve">Ad lentem plano convexam converg.</s>
            <s xml:id="echoid-s6597" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6598" xml:space="preserve">Fiat {R. </s>
            <s xml:id="echoid-s6599" xml:space="preserve">I :</s>
            <s xml:id="echoid-s6600" xml:space="preserve">: AB. </s>
            <s xml:id="echoid-s6601" xml:space="preserve">BZ; </s>
            <s xml:id="echoid-s6602" xml:space="preserve">& </s>
            <s xml:id="echoid-s6603" xml:space="preserve">\\ {I/R} KZ - DZ. </s>
            <s xml:id="echoid-s6604" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6605" xml:space="preserve">: DK. </s>
            <s xml:id="echoid-s6606" xml:space="preserve">DY.</s>
            <s xml:id="echoid-s6607" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6608" xml:space="preserve">_VII._ </s>
            <s xml:id="echoid-s6609" xml:space="preserve">Adlentem convexo-planam diverg.</s>
            <s xml:id="echoid-s6610" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Fig. 157.</note>
          <p style="it">
            <s xml:id="echoid-s6611" xml:space="preserve">_VIII._ </s>
            <s xml:id="echoid-s6612" xml:space="preserve">Ad lentem concavo-planam converg.</s>
            <s xml:id="echoid-s6613" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6614" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6615" xml:space="preserve">Si AB &</s>
            <s xml:id="echoid-s6616" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s6617" xml:space="preserve">{R/I} AC, puncta Z, & </s>
            <s xml:id="echoid-s6618" xml:space="preserve">Y ad lentis partes puncto A
              <lb/>
            adverſas reperientur, facto AB - {R/I} AC. </s>
            <s xml:id="echoid-s6619" xml:space="preserve">AB :</s>
            <s xml:id="echoid-s6620" xml:space="preserve">: BC. </s>
            <s xml:id="echoid-s6621" xml:space="preserve">BZ. </s>
            <s xml:id="echoid-s6622" xml:space="preserve">& </s>
            <s xml:id="echoid-s6623" xml:space="preserve">
              <lb/>
            I. </s>
            <s xml:id="echoid-s6624" xml:space="preserve">R :</s>
            <s xml:id="echoid-s6625" xml:space="preserve">: DZ. </s>
            <s xml:id="echoid-s6626" xml:space="preserve">DY.</s>
            <s xml:id="echoid-s6627" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6628" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6629" xml:space="preserve">Si AB = {R/I} AC, imago infinitè diſtabit.</s>
            <s xml:id="echoid-s6630" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6631" xml:space="preserve">3. </s>
            <s xml:id="echoid-s6632" xml:space="preserve">Si AB &</s>
            <s xml:id="echoid-s6633" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s6634" xml:space="preserve">{R/I} AC; </s>
            <s xml:id="echoid-s6635" xml:space="preserve">deprehendentur Z, & </s>
            <s xml:id="echoid-s6636" xml:space="preserve">Y verſus A, facto
              <lb/>
            {R/I} AC - AB. </s>
            <s xml:id="echoid-s6637" xml:space="preserve">AB :</s>
            <s xml:id="echoid-s6638" xml:space="preserve">: BC. </s>
            <s xml:id="echoid-s6639" xml:space="preserve">BZ; </s>
            <s xml:id="echoid-s6640" xml:space="preserve">& </s>
            <s xml:id="echoid-s6641" xml:space="preserve">I. </s>
            <s xml:id="echoid-s6642" xml:space="preserve">R :</s>
            <s xml:id="echoid-s6643" xml:space="preserve">: DZ. </s>
            <s xml:id="echoid-s6644" xml:space="preserve">DY.</s>
            <s xml:id="echoid-s6645" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6646" xml:space="preserve">_IX._ </s>
            <s xml:id="echoid-s6647" xml:space="preserve">Ad lentem concavo-planam diverg.</s>
            <s xml:id="echoid-s6648" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Fig. 158.</note>
          <p style="it">
            <s xml:id="echoid-s6649" xml:space="preserve">_X._ </s>
            <s xml:id="echoid-s6650" xml:space="preserve">Ad lentem convexo-planam converg.</s>
            <s xml:id="echoid-s6651" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6652" xml:space="preserve">Si A cadat extra BC, fac AB - {R/I} AC. </s>
            <s xml:id="echoid-s6653" xml:space="preserve">AB :</s>
            <s xml:id="echoid-s6654" xml:space="preserve">: BC. </s>
            <s xml:id="echoid-s6655" xml:space="preserve">BZ; </s>
            <s xml:id="echoid-s6656" xml:space="preserve">ſin
              <lb/>
            A cadat inter B, & </s>
            <s xml:id="echoid-s6657" xml:space="preserve">C, fac AB + {R/I} AC. </s>
            <s xml:id="echoid-s6658" xml:space="preserve">AB :</s>
            <s xml:id="echoid-s6659" xml:space="preserve">: BC. </s>
            <s xml:id="echoid-s6660" xml:space="preserve">BZ; </s>
            <s xml:id="echoid-s6661" xml:space="preserve">tum
              <lb/>
            fiat I. </s>
            <s xml:id="echoid-s6662" xml:space="preserve">R :</s>
            <s xml:id="echoid-s6663" xml:space="preserve">: DZ. </s>
            <s xml:id="echoid-s6664" xml:space="preserve">DY.</s>
            <s xml:id="echoid-s6665" xml:space="preserve"/>
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