Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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tiarum data eſt. </
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<
s
id
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s.002059
">apud autem aliud punctum, quam ipſius M N, circunferentiæ, ab
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ijſdem punctis, eadem ratio in eodem plano non conſiſtit)
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eorum omnium, quæ
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demonſtranda ſunt, præmittenda ſunt duo neceſſaria fundamenta. </
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<
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id
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">Primum
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eſt; ea, quæ videmus per reflexionem ſub quopiam angulo, manentibus no
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bis ſpeculo, & obiecto ijſdem in locis, non poſſunt videri ſub alio diuerſo
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angulo, nec alibi conſequenter apparere. </
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<
s
id
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s.002061
">v. g. in ſuperiori figura, quam
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textui reſtituimus exiſtente Sole in G, oculo in K, & nube in M. ex qua ra
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dius Solis G M, reflectatur ad viſum in K, per
<
expan
abbr
="
lineã
">lineam</
expan
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M K, ſub angulo G M K,
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impoſſibile eſt manentibus illis, vt dixi, videri Solem in nube M, ſub diuer
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ſo angulo à priori, nec alibi apparere. </
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<
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id
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s.002062
">Alterum eſt apud Opticos vulga
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tum; ea ſcilicet, quæ per reflexionem (de quorum numero eſt Iris) viden
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tur, videri, tunc ſolum, quando angulus incidentiæ fuerit æqualis angulo
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reflexionis, quia tunc breuiſſimis lineis fit viſio; quibus ſoli, natura (ſi fieri
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poteſt) vtitur. </
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<
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id
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">v. g. in figura præſenti ſit ſpe
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culum C D E, obiectum A, oculus B, linea in
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cidentiæ eſt A D, & angulus pariter inciden
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tiæ eſt A D C. linea verò D B, eſt linea refle
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xionis, & angulus pariter reflexionis eſt B D
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E, qui duo anguli niſi fuerint æquales, nun
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quam videbitur obiectum A, ab oculo B, hinc
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eſt, quod aliquando poſito ſpeculo, obiectum
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quamuis illi aduerſum, à nobis pariter ante
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ſpeculum conſtitutis, videri nequit, quia ſci
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licet in tali poſitione ſpeculi, obiecti, & noſtri, nulla linea incidentiæ, ideſt,
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quæ ab obiecto in ſpeculum tendit, facere poteſt angulum cum ſpeculo, qui
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dicitur angulus incidentiæ, æqualem angulo illi, quem facit linea eadem re
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flexa à ſpeculo ad oculum, quem dicunt angulum reflexionis. </
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<
s
id
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">Cum ergo in
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Iride videamus colorem Solis per reflexionem, tunc ſolum apparebit Iris,
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quando Sol, nubes, & oculus fuerint in ea conſtitutione, qua radius
<
expan
abbr
="
incidẽs
">incidens</
expan
>
<
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nubi, & radius à nube repercuſſus faciant pares angulos. </
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>
<
s
id
="
s.002065
">Et quia quando
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nubes roſcida perpendiculariter opponitur Soli, & nobis, poſſunt fieri præ
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dicti anguli æquales non in vno loco nubis, ſed in pluribus, conſtitutis ta
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men in circuli periphæria, hinc fit, quod Solis color reflectatur ex pluribus
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locis in orbem conſtitutis, quæ reflexio eſt ipſius Iridis arcus. </
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<
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id
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">ex Vitellion
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63. 10. Totam autem figuræ Iridis demonſtrationem ſic breuiter puto ad
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inuentam eſſe. </
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<
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id
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s.002067
">cum Sol in Iride videatur in orbem,
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abbr
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atq;
">atque</
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conſimiliter, ne ceſ
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ſe eſt id prouenire ex angulis reflexionum conſimilibus, ſiue æqualibus: diſ
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ſimiles enim anguli, diſſimilem
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expan
abbr
="
vtiq;
">vtique</
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>
efficiunt Solis
<
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abbr
="
apparẽtiam
">apparentiam</
expan
>
. </
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<
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id
="
s.002068
">atqui con
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ſimiles anguli, ſiue æquales, non niſi in orbem poſſunt conſtitui; igitur an
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gulorum æqualitas cauſa erit rotundationis arcus. </
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<
s
id
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s.002069
">hęc eſt ſumma totius di
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ſcurſus, quem pluribus, & nimis obſcurè Ariſt. explicat.</
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<
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id
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">Inquit igitur Ariſt. ſit enim in oriente, &c. </
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<
s
id
="
s.002071
">vbi aggreditur probare vnum
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ex tribus illis, quæ ſupra propoſuit, nimirum tunc Iridem eſſe ſemicircu
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lum, quando aſtrum fuerit in oriente, ſiue in horizonte, vbi G. ſi igitur per
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triangulum G M K, intelligamus
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expan
abbr
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planũ
">planum</
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>
extenſum, in quo A, in figura, adeo
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magnum, vt totum ſecet hemiſphærium, faciet in ſuperficie hemiſphærij </
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