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 style="it">
            <s xml:id="echoid-s6865" xml:space="preserve">_XVII._ </s>
            <s xml:id="echoid-s6866" xml:space="preserve">Ad lentem concavo convexam diverg.</s>
            <s xml:id="echoid-s6867" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Fig. 160,
            <lb/>
          161, 162.</note>
          <p style="it">
            <s xml:id="echoid-s6868" xml:space="preserve">_XVIII._ </s>
            <s xml:id="echoid-s6869" xml:space="preserve">Ad lentem convexo-concavam converg.</s>
            <s xml:id="echoid-s6870" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6871" xml:space="preserve">Si Acadat extra BC, fiat AB - {R/I} AC. </s>
            <s xml:id="echoid-s6872" xml:space="preserve">AB :</s>
            <s xml:id="echoid-s6873" xml:space="preserve">: BC. </s>
            <s xml:id="echoid-s6874" xml:space="preserve">BZ; </s>
            <s xml:id="echoid-s6875" xml:space="preserve">ſin A
              <lb/>
            cadat inter B, & </s>
            <s xml:id="echoid-s6876" xml:space="preserve">C; </s>
            <s xml:id="echoid-s6877" xml:space="preserve">fiat AB + {R/I} AC. </s>
            <s xml:id="echoid-s6878" xml:space="preserve">AB :</s>
            <s xml:id="echoid-s6879" xml:space="preserve">: BC. </s>
            <s xml:id="echoid-s6880" xml:space="preserve">BZ.</s>
            <s xml:id="echoid-s6881" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6882" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6883" xml:space="preserve">Jam cùm Z cadit extra DK, tum primò ſi {I/R} KZ &</s>
            <s xml:id="echoid-s6884" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s6885" xml:space="preserve">DZ, fac
              <lb/>
            {I/R} KZ - DZ. </s>
            <s xml:id="echoid-s6886" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6887" xml:space="preserve">: DK. </s>
            <s xml:id="echoid-s6888" xml:space="preserve">DY, & </s>
            <s xml:id="echoid-s6889" xml:space="preserve">cape DY adverſus A.</s>
            <s xml:id="echoid-s6890" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6891" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6892" xml:space="preserve">Secundò, ſi {I/R} KZ = DZ; </s>
            <s xml:id="echoid-s6893" xml:space="preserve">imagò infinitè elongabitur.</s>
            <s xml:id="echoid-s6894" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6895" xml:space="preserve">3. </s>
            <s xml:id="echoid-s6896" xml:space="preserve">Tertiò, ſi {I/R} KZ &</s>
            <s xml:id="echoid-s6897" xml:space="preserve">lt; </s>
            <s xml:id="echoid-s6898" xml:space="preserve">DZ, fac DZ - {I/R} KZ. </s>
            <s xml:id="echoid-s6899" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6900" xml:space="preserve">: DK.
              <lb/>
            </s>
            <s xml:id="echoid-s6901" xml:space="preserve">DY; </s>
            <s xml:id="echoid-s6902" xml:space="preserve">& </s>
            <s xml:id="echoid-s6903" xml:space="preserve">ſume DY verſus A.</s>
            <s xml:id="echoid-s6904" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6905" xml:space="preserve">4. </s>
            <s xml:id="echoid-s6906" xml:space="preserve">Sed quando Z inter D, & </s>
            <s xml:id="echoid-s6907" xml:space="preserve">K cadit, fiat DZ + {I/R} KZ. </s>
            <s xml:id="echoid-s6908" xml:space="preserve">DZ :</s>
            <s xml:id="echoid-s6909" xml:space="preserve">:
              <lb/>
            DK. </s>
            <s xml:id="echoid-s6910" xml:space="preserve">DY; </s>
            <s xml:id="echoid-s6911" xml:space="preserve">& </s>
            <s xml:id="echoid-s6912" xml:space="preserve">accipiatur DY verſus A.</s>
            <s xml:id="echoid-s6913" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6914" xml:space="preserve">Hiſce ſubnectam ſequentia; </s>
            <s xml:id="echoid-s6915" xml:space="preserve">non contemnendum in _engyſcopicis_
              <lb/>
            uſum præ ſe ferentia _Problemata._</s>
            <s xml:id="echoid-s6916" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6917" xml:space="preserve">I. </s>
            <s xml:id="echoid-s6918" xml:space="preserve">_Dati puncti propinqui A perfectam imaginem per lentem concavo-_
              <lb/>
              <note position="left" xlink:label="note-0120-02" xlink:href="note-0120-02a" xml:space="preserve">Fig. 163.</note>
            _convexam in aliud datum punctum Z lenti vicinius projicere._ </s>
            <s xml:id="echoid-s6919" xml:space="preserve">(per-
              <lb/>
            fectam imaginem intelligo, quæ reſultat ex omnibus, quos ipſum A
              <lb/>
            diffundit, radiis in ipſa readunatis.)</s>
            <s xml:id="echoid-s6920" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6921" xml:space="preserve">Fiat I - R. </s>
            <s xml:id="echoid-s6922" xml:space="preserve">R :</s>
            <s xml:id="echoid-s6923" xml:space="preserve">: AZ. </s>
            <s xml:id="echoid-s6924" xml:space="preserve">ZB. </s>
            <s xml:id="echoid-s6925" xml:space="preserve">& </s>
            <s xml:id="echoid-s6926" xml:space="preserve">dividatur ZB in C, ut ſit CB.
              <lb/>
            </s>
            <s xml:id="echoid-s6927" xml:space="preserve">CZ :</s>
            <s xml:id="echoid-s6928" xml:space="preserve">: I. </s>
            <s xml:id="echoid-s6929" xml:space="preserve">R. </s>
            <s xml:id="echoid-s6930" xml:space="preserve">tum centro C deſcribatur circulus EBF. </s>
            <s xml:id="echoid-s6931" xml:space="preserve">item centro Z
              <lb/>
            intervallo quovis ZD (majoriquam ZB) deſcribatur circulus GDH; </s>
            <s xml:id="echoid-s6932" xml:space="preserve">
              <lb/>
            factum erit; </s>
            <s xml:id="echoid-s6933" xml:space="preserve">nempe lens EFGH puncti A perfectam imaginem in
              <lb/>
            punctum Z projiciet.</s>
            <s xml:id="echoid-s6934" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6935" xml:space="preserve">Nota, datâ CB puncta A, Z è propoſitis facilè determinari.</s>
            <s xml:id="echoid-s6936" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6937" xml:space="preserve">In vitro, ſi CB = 15, erit {ZC = 9 \\ ZB = 24} & </s>
            <s xml:id="echoid-s6938" xml:space="preserve">{AZ = 16. </s>
            <s xml:id="echoid-s6939" xml:space="preserve">\\ AB = 40.
              <lb/>
            </s>
            <s xml:id="echoid-s6940" xml:space="preserve">Adnotetur etiam per lentem EGHF ad Z tendentes radios ad A
              <lb/>
            refringi.</s>
            <s xml:id="echoid-s6941" xml:space="preserve"/>
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