Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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illud humidum denſius, & aerem deinde circa oculum rarius. </
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tus igitur quamuis vtatur voce reflexionis in Halone, non tamen ex prædi
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ctis videtur reprehendendus.</
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161</
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">Summæ 2. cap. 2. De Areæ figura
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(Refrangitur autem à conſiſtente caligine
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circa Solem, aut Lunam viſus; quapropter non ex oppoſito ſicut iris, apparet. </
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<
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Vn-diq;
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dique</
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autem ſimiliter refracto, neceſſe eſt circulum eſſe, aut circuli partem. </
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<
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id
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dem enim ſigno ad idem ſignum æquales frangentur ſuper circuli lineam ſemper. </
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<
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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. </
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<
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id
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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
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perpẽdiculares
">perpendiculares</
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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)
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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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præmittẽdum
">præmittendum</
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eſt principium quoddam, quo tra
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ctatio de refractione innititur; eſt autem huiuſ
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modi; ea, quæ
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vidẽtur
">videntur</
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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
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quẽs
">quens</
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alibi apparere. </
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<
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id
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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. </
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<
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id
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">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
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apparẽtiam
">apparentiam</
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efficiunt: atqui conſimiles, ſiue æquales refractionis an
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gulos neceſſe eſt in circulum
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cõſtitui
">conſtitui</
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, vt mox conſtabit; cauſa igitur rotun
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ditatis huius, eſt angulorum refractionis æqualitas. </
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<
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id
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">Sed iam textum Ariſt.
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qui geometricam huius rei continet demonſtrationem, explicemus. </
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<
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id
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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
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vn-diq;
">vn
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dique</
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circa Solem, Lunamuè facere angulos refractionis æquales. </
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<
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