Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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quem gyrum optimè concipiemus, ſi imaginemur triangulum A B C, cir
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cumuerti circa lineam horizontalem A C L, fixam, tanquam circa axem. </
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<
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">in
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hac enim conuerſione angulus Iridis B, deſcribet circulum, qui erit Iris, &
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pertranſibit omnes angulos, qui in tali Solis, oculi, ac nubis ſitu, arcum ef
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ficere ſunt idonei.</
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<
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">Sed contra prædicta de angulo Iridis determinato eadem nobis obijcies,
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quæ nos ſupra ad finem numeri 164. Ariſt. & alijs obiecimus, plures
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nimi-rũ
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rum</
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poſſe conſtitui angulos æquales angulo Iridis B, in plano trianguli A B C,
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qui non ſint in eodem orbe conſtituti, in quo ſunt omnes anguli B. </
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<
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">Iridem
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reflectentes,
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quiq;
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reflexionem faciant ad eundem oculum C, vnde ſequitur
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prædictam Iridis altitudinem non eſſe, vti diximus, determinatam, cum
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poſſit angulus B, alios ſibi æquales tam ſupra, quàm infra habere, qua ra
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tione deberet etiam Iris, & altius, & inferius apparere.</
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<
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">Huic dubitationi reſpondeo, quod quamuis huiuſmodi plures anguli
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æquales fiant, non tamen Iridis generationi obſtant, quinimò ad eam valdè
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neceſſarij ſunt;
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cũ
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enim omnes ſint in
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circunferẽtia
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circuli A C D B, quar
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tæ figuræ num. </
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<
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">164. quæ modo inſpicienda eſt, vt ſunt in ea anguli A D C,
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A B C; quæ circunferentia ob ſui circuli immenſitatem ad ſenſum eſt inſtar
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lineæ rectæ, fit vt omnes illi anguli tàm qui ſupra B, quàm qui infra ſunt,
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ſint quoad ſenſum in eadem recta C D B, ante viſum protenſa,
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ſicq́
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; Iris, qui
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apparet in D, & in B, &c. </
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<
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id
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s.002182
">ob medij rorantis multiplicationem vnam
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tãtùm
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oculo Iridem repreſentet. </
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<
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id
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">locus tamen, in quo apparet, & vbi eſt angulus
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B, qui propriè Iridis appellatur, eſt in tanta diſtantia à centro arcus, quan
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ta eſt ab eodem centro ad oculum, vt ſupra dictum eſt.</
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<
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id
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">Quod verò alibi extra circunferentiam illius circuli, poni nequeat angu
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lus æqualis angulo B, præſentis figuræ, qui reflectat ad C. patet ſic, ſit enim
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angulus A N O, ſemirectas, & ideò æqualis angulo B, erunt ergo B C, N O,
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parallelæ, quare non concurrent ambæ ad C, ſed altera ad E, altera verò ad
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O, quæ propterea oculo in O, poſito Iridem efficeret, non autem oculo C:
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; oculus C, & oculus O, viderent diuerſos arcus. </
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<
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">eodem modo oſtendi
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poteſt,
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neq;
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in ſuperiori parte nubis vbi P, conſtitui poſſe angulum æqualem
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angulo B, qui oculo C, Iridem valeat oſtendere. </
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<
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">Ex quibus ſatis patefacta
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eſt cauſa rotunditatis arcus, angulus ſcilicet determinatus cum diſtantia
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rum C D, D B, paritate, necnon cum medij rorantis ſufficienti multiplica
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tione. </
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<
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id
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">Ex his etiam Iridis definitio in hunc modum concinnari poteſt, Iris
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eſt arcus multicolor in nube rorida, ex radiorum Solis, aut Lunæ reflexio
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ne ſub ſtatuto angulo effulgens.</
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<
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">Octauo loco Problemata nonnulla reſoluemus.</
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