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

Table of Notes

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            <s xml:id="echoid-s7088" xml:space="preserve">_Exemp._ </s>
            <s xml:id="echoid-s7089" xml:space="preserve">III. </s>
            <s xml:id="echoid-s7090" xml:space="preserve">_Proponatur circulus ſpecularis concavus_ M B N, & </s>
            <s xml:id="echoid-s7091" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0124-01" xlink:href="note-0124-01a" xml:space="preserve">Fig. 171.</note>
            radiorum OM, ON reflexi ſint MF, NG (ſe decuſſantes in H, & </s>
            <s xml:id="echoid-s7092" xml:space="preserve">
              <lb/>
            cum ipſis OM, ON concurrentes punctis X, Y) inter hos collocetur
              <lb/>
            objectum FAG; </s>
            <s xml:id="echoid-s7093" xml:space="preserve">ejus itidem imago rectis OM, ON interjacebit,
              <lb/>
            puta ad φαγ. </s>
            <s xml:id="echoid-s7094" xml:space="preserve">comparando jam angulos apparentes FOG, φ O γ,
              <lb/>
            clarè vides objecti FAG ſpeciem imminui. </s>
            <s xml:id="echoid-s7095" xml:space="preserve">item cernis puncta ſibi
              <lb/>
            reſpondentia F, φ, & </s>
            <s xml:id="echoid-s7096" xml:space="preserve">G, γ ad alias ac alias partes jacere, ſeu objecti
              <lb/>
            ſitum hinc inverti. </s>
            <s xml:id="echoid-s7097" xml:space="preserve">Quòd ſi intra angulum & </s>
            <s xml:id="echoid-s7098" xml:space="preserve">ſpatium X H Y ſtatui
              <lb/>
            concipiatur objectum, clarum eſt hinc ejus quidem ſpeciem ampliari,
              <lb/>
            ſed adhuc ſitum inverti. </s>
            <s xml:id="echoid-s7099" xml:space="preserve">ſin inter ipſa X Y conſiſtat objectum, ejus
              <lb/>
            itidem invertetur ſitus, at quantitas non immutabitur. </s>
            <s xml:id="echoid-s7100" xml:space="preserve">demùm ſi intra
              <lb/>
            angulum NHM conſtituatur objectum, puta R L S; </s>
            <s xml:id="echoid-s7101" xml:space="preserve">cujus imago
              <lb/>
            ſit ρλσ; </s>
            <s xml:id="echoid-s7102" xml:space="preserve">evidens eſt hujuſce ſpeciem creſcere, ſitúmque retineri.</s>
            <s xml:id="echoid-s7103" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s7104" xml:space="preserve">_Exemp._ </s>
            <s xml:id="echoid-s7105" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s7106" xml:space="preserve">_Proponatur circulus Specularis convexus_ MBN;
              <lb/>
            </s>
            <s xml:id="echoid-s7107" xml:space="preserve">
              <note position="left" xlink:label="note-0124-02" xlink:href="note-0124-02a" xml:space="preserve">Fig. 172.</note>
            factiſque ſimiliter ac in eo quod immediatè præceſſit omnibus; </s>
            <s xml:id="echoid-s7108" xml:space="preserve">nè
              <lb/>
            plura prodigam verba, vides objecti F A G ſpeciem. </s>
            <s xml:id="echoid-s7109" xml:space="preserve">(φαγ) co-
              <lb/>
            arctari, ſed ejuſce poſitionem eandem perſiſtere.</s>
            <s xml:id="echoid-s7110" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7111" xml:space="preserve">_Exemp._ </s>
            <s xml:id="echoid-s7112" xml:space="preserve">V. </s>
            <s xml:id="echoid-s7113" xml:space="preserve">_Proponatur lens aliqua (exempli gratiâ, lens plano-_
              <lb/>
              <note position="left" xlink:label="note-0124-03" xlink:href="note-0124-03a" xml:space="preserve">Fig. 173.</note>
            _convexa)_ MBNQP. </s>
            <s xml:id="echoid-s7114" xml:space="preserve">Radii OM, ON ad ſuperficiem MBN
              <lb/>
            refringantur in MP, NQ; </s>
            <s xml:id="echoid-s7115" xml:space="preserve">tum ipſi MP, NQ ad ſuperficiem PQ
              <lb/>
            refringantur in ipſos PF, QG (ſeſe decuſſantes in H, & </s>
            <s xml:id="echoid-s7116" xml:space="preserve">cum ipſis
              <lb/>
            OM, ON concurrentes ad X, Y) vides jam in prima ſigura, ſi ob-
              <lb/>
            jectum FAG infra XY (verſus H) ſtatuatur, ipſum ab imagine
              <lb/>
            φαγ majus, quàm obtutu ſimplice, repræſentari. </s>
            <s xml:id="echoid-s7117" xml:space="preserve">Quòd ſi inter ipſa
              <lb/>
            puncta X, Y ſubintelligatur collocatum, ejus quantitas neutiquam immu-
              <lb/>
            tabitur. </s>
            <s xml:id="echoid-s7118" xml:space="preserve">at ſi ſupra XY ſtatuatur objectum RLS, ejus ſpecies, ad ρ λ σ
              <lb/>
            conſpicua, diminuetur; </s>
            <s xml:id="echoid-s7119" xml:space="preserve">ubique verò punctorum correſpondentium
              <lb/>
            poſitio directa permanebit.</s>
            <s xml:id="echoid-s7120" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7121" xml:space="preserve">In altera verò figura (ubi refracti PF, QG verſus axem procur-
              <lb/>
              <note position="left" xlink:label="note-0124-04" xlink:href="note-0124-04a" xml:space="preserve">Fig. 174.</note>
            rentes convergunt) cùm objectum FAG citra punctum H ſumitur,
              <lb/>
            vides ejus ſpeciem quantitate adauctam, at ſitu non mutatam. </s>
            <s xml:id="echoid-s7122" xml:space="preserve">verùm
              <lb/>
            objecti _RLS_ ultra concurſum H poſiti imago ρλσ nedum protorypo
              <lb/>
            major eſt, at quoad ſitum etîam eidem in verſa.</s>
            <s xml:id="echoid-s7123" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7124" xml:space="preserve">Et hoc quidem pacto nulla non lens pro varia vel objecti vel oculi
              <lb/>
            poſitione, objecti ſpeciem aliam exhibet ac aliam; </s>
            <s xml:id="echoid-s7125" xml:space="preserve">nunc dilatat, tunc
              <lb/>
            contrahit; </s>
            <s xml:id="echoid-s7126" xml:space="preserve">modò rectam dat, mox inverſam; </s>
            <s xml:id="echoid-s7127" xml:space="preserve">ſubinde propiùs adducit,
              <lb/>
            nonnunquam longiùs amovet. </s>
            <s xml:id="echoid-s7128" xml:space="preserve">Singulos caſus ad examen facilè rediges
              <lb/>
            hoc ad ſpecimen aciem mentis intendendo.</s>
            <s xml:id="echoid-s7129" xml:space="preserve"/>
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