Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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            <p type="main">
              <s id="s.002016">
                <pb pagenum="114" xlink:href="009/01/114.jpg"/>
              illud humidum denſius, & aerem deinde circa oculum rarius. </s>
              <s id="s.002017">Vicomerca­
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              tus igitur quamuis vtatur voce reflexionis in Halone, non tamen ex prædi­
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              ctis videtur reprehendendus.</s>
            </p>
            <p type="main">
              <s id="s.002018">
                <arrow.to.target n="marg162"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002019">
                <margin.target id="marg162"/>
              161</s>
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            <p type="main">
              <s id="s.002020">Summæ 2. cap. 2. De Areæ figura
                <emph type="italics"/>
              (Refrangitur autem à conſiſtente caligine
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              circa Solem, aut Lunam viſus; quapropter non ex oppoſito ſicut iris, apparet. </s>
              <s id="s.002021">
                <expan abbr="Vn-diq;">Vn­
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                dique</expan>
              autem ſimiliter refracto, neceſſe eſt circulum eſſe, aut circuli partem. </s>
              <s id="s.002022">ab co­
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              dem enim ſigno ad idem ſignum æquales frangentur ſuper circuli lineam ſemper. </s>
              <s id="s.002023">ſit
                <emph.end type="italics"/>
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                <figure id="id.009.01.114.1.jpg" place="text" xlink:href="009/01/114/1.jpg" number="56"/>
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                <emph type="italics"/>
              enim à puncto, in quo A, ad B, fracta, & ea, quæ est
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              A C B, & quæ A F B, & quæ A D B, æquales autem
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              & hæ A C, A F, A D, inuicem. </s>
              <s id="s.002024">& quæ ad B, inui­
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              cem ſcilicet C B, E B, D B. & protrahatur A E B,
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              quare trianguli æquales, etenim ſuper æqualem, quæ
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              eſt A E B, ducantur autem
                <expan abbr="perpẽdiculares">perpendiculares</expan>
              ad A E B,
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              ex angulis; à C, quidem, quæ eſt C E; ab F, autem,
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              quæ eſt F E; à D, autem, quæ eſt D E, æquales itaque
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              hæ, in æqualibus enim triăngulis, & in vno plano om­
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              nes, ad rectum enim omnes ei, quæ eſt A E B. & ad
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              vnum punctum E, copulantur, circulus igitur erit
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              deſcripta, centrum autem E. ſit autem B, quidem Sol,
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              A, autem viſus, quæ autem eſt circa C D F, circun­
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              ferentia nubes, à qua refrangitur viſus ad Solem)
                <emph.end type="italics"/>
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              quia ſuppono Aream, ſiue Halonem fieri per re­
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              fractionem, vt vult etiam Vitellio, propterea
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                <expan abbr="præmittẽdum">præmittendum</expan>
              eſt principium quoddam, quo tra­
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              ctatio de refractione innititur; eſt autem huiuſ­
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              modi; ea, quæ
                <expan abbr="vidẽtur">videntur</expan>
              per refractionem, ſiue ſub
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              aliquo refractionis angulo, manentibus nobis &
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              aſtro, & medio ijſdem in locis, non poſſunt vide­
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              ri ſub diuerſo angulo à priori, nec per conſe
                <expan abbr="quẽs">quens</expan>
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              alibi apparere. </s>
              <s id="s.002025">v. g. Sol (vt in præſenti figura)
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              videatur ab oculo A, media nube C D F, ſub an­
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              gulo refractionis B C A, vel B F A, & alijs ſimilibus angulis in eadem nube;
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              manente igitur oculo A, & aſtro B, necnon nube C D E. eodem in loco, im­
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              poſſibile eſt Solem videri ab eodem oculo ſub diuerſo angulo à priori, nec
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              conſequenter alibi apparere, quam in B. </s>
              <s id="s.002026">Nunc ad textus declarationem, in
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              quo continetur Geometrica demonſtratio rotunditatis Areæ, quam ſic bre­
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              uiter prius veteres excogitarunt: Viderunt primò Solem in Area apparere
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              in orbem, & conſimiliter: hinc intulerunt neceſſe eſſe apparere etiam per
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              conſimiles, ſiue æquales refractionis angulos; quia diuerſi anguli, diuerſam
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              etiam
                <expan abbr="apparẽtiam">apparentiam</expan>
              efficiunt: atqui conſimiles, ſiue æquales refractionis an­
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              gulos neceſſe eſt in circulum
                <expan abbr="cõſtitui">conſtitui</expan>
              , vt mox conſtabit; cauſa igitur rotun­
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              ditatis huius, eſt angulorum refractionis æqualitas. </s>
              <s id="s.002027">Sed iam textum Ariſt.
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              qui geometricam huius rei continet demonſtrationem, explicemus. </s>
              <s id="s.002028">Suppo­
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              nit igitur primò Ariſt. lineas viſuales à ſydere B, ad oculos noſtros A, per
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              nubem roridam C D F, procedentes, in nube conſimiliter refrangi, ideſt
                <expan abbr="vn-diq;">vn­
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                dique</expan>
              circa Solem, Lunamuè facere angulos refractionis æquales. </s>
              <s id="s.002029">quod etiam </s>
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