Biancani, Giuseppe, Aristotelis loca mathematica, 1615
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              <s id="s.002080">
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              linea N P L, cuius extrema puncta ſunt L, N, quæ data erunt, cum ſint ex­
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              trema lineæ K M, circumlatæ; & quemadmodum dabatur ſuperius punctum
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              M. eadem ratione ex Datis, dabitur punctum N, & L. quare etiam ſectio
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              N P L, quæ inter data puncta continetur, data erit ex 26. Datorum.</s>
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              <s id="s.002081">Illud nunc in memoriam
                <expan abbr="reuocãdum">reuocandum</expan>
              , quod paulò ante probaui, nimirum
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              proportionem linearum G M, K M, non poſſe ſeruari in alijs lineis, quæ ſint
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              in eodem plano trianguli G M K, ſi ducantur ab ijſdem punctis G, K. poteſt
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              tamen ſeruari in alijs duabus, quæ cadant in prædictum ambitum, ſiue
                <expan abbr="cir-cunferẽtiam">cir­
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                cunferentiam</expan>
              L M N,
                <expan abbr="quæq́">quæque</expan>
              ; ſint in alio plano,
                <expan abbr="quã">quam</expan>
              in plano trianguli G M K,
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              quod tamen tranſeat per axem G K O,
                <expan abbr="ſitq́">ſitque</expan>
              ; vnum ex planis illis, de quibus
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              ſupra dictum eſt. </s>
              <s id="s.002082">Verumenimuerò ad quid probatio hæc? </s>
              <s id="s.002083">non poſſe duas
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              alias lineas in eodem plano, &c.? exiſtimo Ariſt. idcircò hoc probaſſe, quia
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              ſi aliæ duæ lineæ habentes eandem rationem, poſſent collocari in eodem
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              plano; eſſent
                <expan abbr="permutãdo">permutando</expan>
              illæ duæ (in priori figura) G R, R K.
                <expan abbr="vtraq;">vtraque</expan>
                <expan abbr="vtriq;">vtrique</expan>
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              æquales prioribus G M, M K, per quas videtur Iris, cum enim K R, ſit æqua­
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              lis ipſi K M, erit, & G M, æqualis ipſi G R, per 7. 5. & in eius ſcholio. </s>
              <s id="s.002084">qua­
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              re natura ageret tam per lineas breuiſſimas
                <expan abbr="agẽdo">agendo</expan>
              per has, quam per illas,
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                <expan abbr="hocq́">hocque</expan>
              ; pacto per has etiam Iris videri poſſet. </s>
              <s id="s.002085">cum ergò conſtet non poſſe has
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              eſſe prioribus proportionales, ſed maiorem, vel minorem, alteram illarum,
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              quàm ſit G M, ſequitur, quod non faciunt angulum æqualem angulo G M K,
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              ſub quo videtur Iris,
                <expan abbr="nimirũ">nimirum</expan>
              angulum G R K, qui ſit æqualis angulo G M K;
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              habet enim Iris hunc angulum determinatum, ita vt ſub maiori, vel mino­
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              ri videri nequeat; ex 10. Baptiſta Porta. </s>
              <s id="s.002086">ſi autem punctum R, eſſet infra M,
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              angulus G R K, eſſet minor angulo Iridis G M K, ſi verò ſupra eſſet maior
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              eodem, quod vel ad ſenſum patere poteſt in quouis circulo,
                <expan abbr="idq́">idque</expan>
              ; ſufficiat, ne
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              longior euadat hæc tractatio. </s>
              <s id="s.002087">Fortè etiam addi poteſt, quod alibi exiſten­
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              te puncto R, quàm in M, non poſſent anguli incidentiæ, & reflexionis eſſe
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              æquales, quæ cauſa eſſet cur ſub alio angulo, quam prædicto G M K, Iris
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              non appareret.</s>
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              <s id="s.002088">Prædicta omnia ſunt ſecundum Ariſtot. diſcurſum, & figurationem dicta,
                <lb/>
              nam ſecundum veritatem poſſunt in eadem nube conſtitui plures anguli
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              æquales, nec tamen in eodem orbe, ſed vnus ſupra
                <expan abbr="alterũ">alterum</expan>
              ; vt in figura præ­
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              ſenti, ſi nubes eſſet vbi B D.
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              oculus in C, Sol in A. eſſent
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              duo anguli A B C, A D C, æ­
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              quales per 33. 3. qui tamen
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              non ſunt in gyrum conſtituti,
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              poſſet igitur, per
                <expan abbr="illorũ">illorum</expan>
              vtrun­
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              que Sol Iridem efficere. </s>
              <s id="s.002089">atque
                <lb/>
              animaduerſio hęc videtur ma­
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              gni
                <expan abbr="momẽti">momenti</expan>
              eſſe, ad Iridis
                <expan abbr="de-monſtrationẽ">de­
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                monſtrationem</expan>
              conſtituendam:
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              cum hinc vſitatæ demonſtra­
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              tiones infringatur. </s>
              <s id="s.002090">Fortè confugiendum eſt ad illud, quod Maurolycus, &
                <lb/>
              10. Baptiſta Porta obſeruarunt; debere
                <expan abbr="nimirũ">nimirum</expan>
              diſtantiam ab oculo ad cen­
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              trum Iridis eſſe æqualem altitudini, ſiue ſemidiametro Iridis. </s>
              <s id="s.002091">Ita vt non </s>
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