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-s5095" xml:space="preserve">I. </s>
            <s xml:id="echoid-s5096" xml:space="preserve">P_Arallelorum ad circulum refractionem patientium in contem-_
              <lb/>
            _platione defixus, præter alia præcipua ſymptomata, locum ultimè_
              <lb/>
            _determinavi, quam iſti repræſentant, imaginis, oculo in axe conſtitu-_
              <lb/>
            _to._ </s>
            <s xml:id="echoid-s5097" xml:space="preserve">res jam poſtulat ut eandem deſiniamus oculi gratiâ ſecùs colloca-
              <lb/>
            ti. </s>
            <s xml:id="echoid-s5098" xml:space="preserve">veruntamen unam priùs haud inutilem adnectam obſervationem, ad
              <lb/>
            præcedentia ſpectantem; </s>
            <s xml:id="echoid-s5099" xml:space="preserve">hanc utique:</s>
            <s xml:id="echoid-s5100" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5101" xml:space="preserve">II. </s>
            <s xml:id="echoid-s5102" xml:space="preserve">Si duo Segmenta NB R, v βρ latitudines (vel ſubtenſas) NR,
              <lb/>
              <note position="left" xlink:label="note-0098-01" xlink:href="note-0098-01a" xml:space="preserve">Fig. 118,
                <lb/>
              119.</note>
            V ρ æquales habeant; </s>
            <s xml:id="echoid-s5103" xml:space="preserve">quorum V β ρ ad majorem pertineat circulum;
              <lb/>
            </s>
            <s xml:id="echoid-s5104" xml:space="preserve">hoc cùm potentiùs aduret, tum objectum viſibile clariùs atque di-
              <lb/>
            ftinctiùs exhibebit. </s>
            <s xml:id="echoid-s5105" xml:space="preserve">Sint enim C, κ circulorum refringentium cen-
              <lb/>
            tra; </s>
            <s xml:id="echoid-s5106" xml:space="preserve">& </s>
            <s xml:id="echoid-s5107" xml:space="preserve">circuli iis competentes refractarii ſint EG Z, ε γ ζ; </s>
            <s xml:id="echoid-s5108" xml:space="preserve">horúm-
              <lb/>
            que centra F; </s>
            <s xml:id="echoid-s5109" xml:space="preserve">φ; </s>
            <s xml:id="echoid-s5110" xml:space="preserve">tum parallelorum punctis N, v incidentium ſint
              <lb/>
            refracti ND, V δ dico tum fore D Z&</s>
            <s xml:id="echoid-s5111" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s5112" xml:space="preserve">ζ δ. </s>
            <s xml:id="echoid-s5113" xml:space="preserve">‖ Ducantur enim
              <lb/>
            rectæ NC G, V χ γ; </s>
            <s xml:id="echoid-s5114" xml:space="preserve">híſque perpendiculares rectæ FL, φ λ. </s>
            <s xml:id="echoid-s5115" xml:space="preserve">éſtque
              <lb/>
            C N. </s>
            <s xml:id="echoid-s5116" xml:space="preserve">v π:</s>
            <s xml:id="echoid-s5117" xml:space="preserve">: CN. </s>
            <s xml:id="echoid-s5118" xml:space="preserve">NP:</s>
            <s xml:id="echoid-s5119" xml:space="preserve">: CF. </s>
            <s xml:id="echoid-s5120" xml:space="preserve">FL. </s>
            <s xml:id="echoid-s5121" xml:space="preserve">& </s>
            <s xml:id="echoid-s5122" xml:space="preserve">v π. </s>
            <s xml:id="echoid-s5123" xml:space="preserve">χ v:</s>
            <s xml:id="echoid-s5124" xml:space="preserve">: φ λ. </s>
            <s xml:id="echoid-s5125" xml:space="preserve">χ φ. </s>
            <s xml:id="echoid-s5126" xml:space="preserve">ergò
              <lb/>
            (rationes ſibi pares adjungendo) eſt CN. </s>
            <s xml:id="echoid-s5127" xml:space="preserve">v π + v π. </s>
            <s xml:id="echoid-s5128" xml:space="preserve">κ v:</s>
            <s xml:id="echoid-s5129" xml:space="preserve">: CF. </s>
            <s xml:id="echoid-s5130" xml:space="preserve">
              <lb/>
            FL + φ λ. </s>
            <s xml:id="echoid-s5131" xml:space="preserve">nφ. </s>
            <s xml:id="echoid-s5132" xml:space="preserve">hoc eſt CN. </s>
            <s xml:id="echoid-s5133" xml:space="preserve">χ v :</s>
            <s xml:id="echoid-s5134" xml:space="preserve">: CF x φ λ. </s>
            <s xml:id="echoid-s5135" xml:space="preserve">FL x n φ. </s>
            <s xml:id="echoid-s5136" xml:space="preserve">eſt autem
              <lb/>
            C N. </s>
            <s xml:id="echoid-s5137" xml:space="preserve">κ v:</s>
            <s xml:id="echoid-s5138" xml:space="preserve">: CF. </s>
            <s xml:id="echoid-s5139" xml:space="preserve">κ φ :</s>
            <s xml:id="echoid-s5140" xml:space="preserve">: CF x φ λ. </s>
            <s xml:id="echoid-s5141" xml:space="preserve">n φ x φ λ. </s>
            <s xml:id="echoid-s5142" xml:space="preserve">quapropter erit CF
              <lb/>
              <note position="left" xlink:label="note-0098-02" xlink:href="note-0098-02a" xml:space="preserve">23. 11 Lect.</note>
            x φ λ. </s>
            <s xml:id="echoid-s5143" xml:space="preserve">FL x κ φ :</s>
            <s xml:id="echoid-s5144" xml:space="preserve">: CF x φ λ. </s>
            <s xml:id="echoid-s5145" xml:space="preserve">n φ x φ λ; </s>
            <s xml:id="echoid-s5146" xml:space="preserve">& </s>
            <s xml:id="echoid-s5147" xml:space="preserve">idcircò FL x κ φ = κ φ
              <lb/>
            x φ λ; </s>
            <s xml:id="echoid-s5148" xml:space="preserve">indeque FL = φ λ. </s>
            <s xml:id="echoid-s5149" xml:space="preserve">hinc conſequetur fore CF-CL&</s>
            <s xml:id="echoid-s5150" xml:space="preserve">gt;
              <lb/>
            </s>
            <s xml:id="echoid-s5151" xml:space="preserve">κ φ- κ λ nec non FZ - LG&</s>
            <s xml:id="echoid-s5152" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s5153" xml:space="preserve">φζ-λγ; </s>
            <s xml:id="echoid-s5154" xml:space="preserve">proindéque con-
              <lb/>
            junctim CZ-CG&</s>
            <s xml:id="echoid-s5155" xml:space="preserve">gt; </s>
            <s xml:id="echoid-s5156" xml:space="preserve">κ ζ-κ γ; </s>
            <s xml:id="echoid-s5157" xml:space="preserve">hoc eſt CZ-CD&</s>
            <s xml:id="echoid-s5158" xml:space="preserve">gt;</s>
            <s xml:id="echoid-s5159" xml:space="preserve">κ ζ-κ δ; </s>
            <s xml:id="echoid-s5160" xml:space="preserve">
              <lb/>
            hoc eſt demum DZ &</s>
            <s xml:id="echoid-s5161" xml:space="preserve">gt;</s>
            <s xml:id="echoid-s5162" xml:space="preserve">δ ζ; </s>
            <s xml:id="echoid-s5163" xml:space="preserve">exhinc lux ab arcu y ζ ρ magìs conſtipata,
              <lb/>
            (in ſpatium quippe reſtrictius δ ζ coacta) viol@ntiùs operabitur; </s>
            <s xml:id="echoid-s5164" xml:space="preserve">& </s>
            <s xml:id="echoid-s5165" xml:space="preserve">
              <lb/>
            a fonte magìs ad punctum accedente promanare viſa punctum radians
              <lb/>
            diſtinctiùs exhibebit; </s>
            <s xml:id="echoid-s5166" xml:space="preserve">id quod inſtitutum fuit oſtendere; </s>
            <s xml:id="echoid-s5167" xml:space="preserve">quo rei paſſim
              <lb/>
            obſervatæ, nec exilis in perſpiciliorum conſtructione usûs ratio con-
              <lb/>
            ſtaret. </s>
            <s xml:id="echoid-s5168" xml:space="preserve">‖ In ordinem jam recidimus; </s>
            <s xml:id="echoid-s5169" xml:space="preserve">ut puncti nempe longinqui
              <lb/>
            locum apparentem indagemus, oculi reſpectu quomodocunque ſiti-
              <lb/>
            quem in finem conſiciendum venit imprimìs hujuſmodi _Problema, re-_
              <lb/>
            ctum definiens in qua locus iſte verſatur:</s>
            <s xml:id="echoid-s5170" xml:space="preserve"/>
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