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-s5171" xml:space="preserve">III. </s>
            <s xml:id="echoid-s5172" xml:space="preserve">Dato circulo refringente; </s>
            <s xml:id="echoid-s5173" xml:space="preserve">punctóque quovis X; </s>
            <s xml:id="echoid-s5174" xml:space="preserve">per punctum
              <lb/>
            X ducatur recta, quæ ſit incidentis ad datam poſitione rectam CB
              <lb/>
            parallelè refractus.</s>
            <s xml:id="echoid-s5175" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5176" xml:space="preserve">Si punctum datum X ponatur in axe CB; </s>
            <s xml:id="echoid-s5177" xml:space="preserve">facillimè perficitur ne-
              <lb/>
              <note position="right" xlink:label="note-0099-01" xlink:href="note-0099-01a" xml:space="preserve">Fig. 120.</note>
            gotium; </s>
            <s xml:id="echoid-s5178" xml:space="preserve">etenim ſi fiat R. </s>
            <s xml:id="echoid-s5179" xml:space="preserve">I:</s>
            <s xml:id="echoid-s5180" xml:space="preserve">: CX. </s>
            <s xml:id="echoid-s5181" xml:space="preserve">T; </s>
            <s xml:id="echoid-s5182" xml:space="preserve">& </s>
            <s xml:id="echoid-s5183" xml:space="preserve">centro X intervallo ip-
              <lb/>
            ſam T adæquante deſcribatur circulus refringentem interſecans in N;
              <lb/>
            </s>
            <s xml:id="echoid-s5184" xml:space="preserve">è præmiſſis admodum patet connexum NK per N incidentis ad BC
              <lb/>
            paralleli refractum eſſe; </s>
            <s xml:id="echoid-s5185" xml:space="preserve">quia ſcilicet eſt. </s>
            <s xml:id="echoid-s5186" xml:space="preserve">CX. </s>
            <s xml:id="echoid-s5187" xml:space="preserve">XN:</s>
            <s xml:id="echoid-s5188" xml:space="preserve">: CX. </s>
            <s xml:id="echoid-s5189" xml:space="preserve">T:</s>
            <s xml:id="echoid-s5190" xml:space="preserve">:
              <lb/>
            R. </s>
            <s xml:id="echoid-s5191" xml:space="preserve">I.</s>
            <s xml:id="echoid-s5192" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5193" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s5194" xml:space="preserve">Verùm extra caſum hunc, & </s>
            <s xml:id="echoid-s5195" xml:space="preserve">alios particulares nil huc atti-
              <lb/>
            nentes, generatim conceptum _Problema_ Solidum eſt, aut pluſquam
              <lb/>
            Solidum (ut ex analyſi non difficilè perſpiciatur) & </s>
            <s xml:id="echoid-s5196" xml:space="preserve">certè viâ con-
              <lb/>
            ſuetâ, per lineas vulgò receptas, conſtructu perquam arduum & </s>
            <s xml:id="echoid-s5197" xml:space="preserve">
              <lb/>
            operoſum; </s>
            <s xml:id="echoid-s5198" xml:space="preserve">ità quidem ut licèt mihi non penitus incomperta ſit metho-
              <lb/>
            dus ejuſmodi conſtructionem non unam moliendi, ægrè poſſim addu-
              <lb/>
            ci, tantum ut ei temporis, tantum laboris impendam, quantum
              <lb/>
            expoſcit; </s>
            <s xml:id="echoid-s5199" xml:space="preserve">ſuffecerit itaque modum indigitare, quo per lineam quan-
              <lb/>
            dam ſibi peculiarem, punctatim facili negotio deſignabilem, ità
              <lb/>
            conſtrui poſſit, ut unà ſuam naturam ac indolem prodat. </s>
            <s xml:id="echoid-s5200" xml:space="preserve">modus ille
              <lb/>
            ſic habet.</s>
            <s xml:id="echoid-s5201" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5202" xml:space="preserve">V. </s>
            <s xml:id="echoid-s5203" xml:space="preserve">Connectatur recta CX; </s>
            <s xml:id="echoid-s5204" xml:space="preserve">fiátque CX. </s>
            <s xml:id="echoid-s5205" xml:space="preserve">CV:</s>
            <s xml:id="echoid-s5206" xml:space="preserve">: R. </s>
            <s xml:id="echoid-s5207" xml:space="preserve">I; </s>
            <s xml:id="echoid-s5208" xml:space="preserve">& </s>
            <s xml:id="echoid-s5209" xml:space="preserve">per
              <lb/>
              <note position="right" xlink:label="note-0099-02" xlink:href="note-0099-02a" xml:space="preserve">Fig. 121.</note>
            punctum V indeſinitè protendatur recta FG, datæ CB parallela;
              <lb/>
            </s>
            <s xml:id="echoid-s5210" xml:space="preserve">tum è refringentis centro C rectæ quotcunque CI exeant, rectam
              <lb/>
            FG decuſſantes punctis H; </s>
            <s xml:id="echoid-s5211" xml:space="preserve">& </s>
            <s xml:id="echoid-s5212" xml:space="preserve">centro X, intervallo rectas VH per-
              <lb/>
            petuùm æquantè deſcripti circuli rectis CI occurrant punctis N; </s>
            <s xml:id="echoid-s5213" xml:space="preserve">per
              <lb/>
            hujuſmodi puncta quævis linea tranſit, quam innuimus expoſiti _Pro-_
              <lb/>
            _blematis_ Solutioni deſervituram; </s>
            <s xml:id="echoid-s5214" xml:space="preserve">ejus ſcilicet, & </s>
            <s xml:id="echoid-s5215" xml:space="preserve">dati circuli reſſ@@-
              <lb/>
            gentis interſectio quæpiam incidentiæ punctum erit, ad quod per X
              <lb/>
            ducta recta refringetur in aliquam ipſi BC parallelam; </s>
            <s xml:id="echoid-s5216" xml:space="preserve">ſeu viciſſim
              <lb/>
            hæc in illam. </s>
            <s xml:id="echoid-s5217" xml:space="preserve">Sit enim talis interſectio quævis N; </s>
            <s xml:id="echoid-s5218" xml:space="preserve">& </s>
            <s xml:id="echoid-s5219" xml:space="preserve">ducta NX ip-
              <lb/>
            ſam BC ſecet in K; </s>
            <s xml:id="echoid-s5220" xml:space="preserve">& </s>
            <s xml:id="echoid-s5221" xml:space="preserve">ſint NM, ac XT ad BC parallelæ. </s>
            <s xml:id="echoid-s5222" xml:space="preserve">Eſtque
              <lb/>
            tum CK. </s>
            <s xml:id="echoid-s5223" xml:space="preserve">KN:</s>
            <s xml:id="echoid-s5224" xml:space="preserve">: (TX. </s>
            <s xml:id="echoid-s5225" xml:space="preserve">XN :</s>
            <s xml:id="echoid-s5226" xml:space="preserve">: TX. </s>
            <s xml:id="echoid-s5227" xml:space="preserve">VH :</s>
            <s xml:id="echoid-s5228" xml:space="preserve">: CX. </s>
            <s xml:id="echoid-s5229" xml:space="preserve">CV :</s>
            <s xml:id="echoid-s5230" xml:space="preserve">:) R. </s>
            <s xml:id="echoid-s5231" xml:space="preserve">I; </s>
            <s xml:id="echoid-s5232" xml:space="preserve">
              <lb/>
            unde ſecundum oſtenſa liquet NXKrefractum eſſe ipſius MN; </s>
            <s xml:id="echoid-s5233" xml:space="preserve">
              <lb/>
            quod oportebat factum. </s>
            <s xml:id="echoid-s5234" xml:space="preserve">Ità _Problema_ δυ{στι}ό{ει}ςον utcunque licebit
              <lb/>
            exequi, nec non ejuſce qualitatem intueri; </s>
            <s xml:id="echoid-s5235" xml:space="preserve">quot refracti per ocu-
              <lb/>
            li centrum meent definire, ſingulóſque reipsâ deſignare; </s>
            <s xml:id="echoid-s5236" xml:space="preserve">quæ lon-
              <lb/>
            giuſculum eſſet ſigillatim exponere. </s>
            <s xml:id="echoid-s5237" xml:space="preserve">cùm autem eâtenus imaginis </s>
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