Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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s.003992
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<
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234
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009/01/234.jpg
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etiam augentur eò perfectius. </
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>
<
s
id
="
s.003993
">
<
expan
abbr
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proptereaq́
">proptereaque</
expan
>
; poterunt aliquando exactè cir
<
lb
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culum quò ad ſenſum imitari. </
s
>
<
s
id
="
s.003994
">quod de circulis dictum eſt, intelligi etiam de
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bet de omnibus alijs figuris eiuſdem ſpeciei, vt de duabus ellipſibus, aut
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de duobus triangulis, &c.</
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</
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type
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main
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<
s
id
="
s.003995
">Tertiò, lumen Solis per foramen tam
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abbr
="
exiguũ
">exiguum</
expan
>
, quod ſit inſtar puncti tranſ
<
lb
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miſſum,
<
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abbr
="
figurã
">figuram</
expan
>
Solis rotundam videlicet, quamuis conuerſam referre; quod
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hac deſcriptione patefiet. </
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<
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id
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s.003996
">ſit Sol vbi A B, fora
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men inſtar puncti vbi E. illuminatio, in planum
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radio Solis perpendiculariter obiectum, ſit C I D.
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aio eam eſſe inſtar Solis rotundam, inuerſam ta
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men. </
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>
<
s
id
="
s.003997
">nam ſi ab omnibus punctis ſolaris periphe
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riæ radij per vnicum punctum E, rectà transfe
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rantur ad planum rectà obiectum, vbi C D, con
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flabunt duas conicas ſuperficies A E B, C E D,
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baſes habentes circulos A B, C D, verticem verò
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eundem E. </
s
>
<
s
id
="
s.003998
">Cùm igitur illuminatio C D, ſit ve
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luti ſectio luminoſi coni C E D, quæ perpendicu
<
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lariter eum ſecat, ex Apollonij conicis circulus
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/>
erit, ac proinde Solis figuram imitabitur. </
s
>
<
s
id
="
s.003999
">erit
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tamen inuerſa, quia cum, vt dictum eſt in prima
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prænotatione, radij rectis lineis ferantur, pun
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ctum A, ſiniſtrum, repreſentabitur in D, parte
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dextra. </
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>
<
s
id
="
s.004000
">B, verò dexterum apparebit in C, parte
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ſiniſtra, & H, in anteriore parte Solis, feretur in
<
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I, punctum illuminationis poſterius:
<
expan
abbr
="
atq;
">atque</
expan
>
eodem
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modo reliqua puncta in contrarias partes trans
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ferentur. </
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>
<
s
id
="
s.004001
">Quod ſi planum terminans conum ra
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dioſum non illi ſit perpendiculare, ſed obliquum,
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vti eſt G F, ſectionem faciet ellipticam ex eodem
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/>
Apollonio,
<
expan
abbr
="
ideoq́
">ideoque</
expan
>
; Solis il luminatio, quod pluri
<
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/>
mùm accidit, oualis apparet. </
s
>
<
s
id
="
s.004002
">Quod dictum eſt de Solis illuminatione, in
<
lb
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telligi etiam debet de alijs quibuſuis lucidis, vel coloratis luce perfuſis, quæ
<
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ſuas ſpecies emittunt, cuiuſuis ſint figuræ, eodem enim modo oſtendemus
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eorum illuminationes, ſeu ſpecies debere figuram ipſorum primitiuam re
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ferre, quamuis inuerſam.</
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type
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<
s
id
="
s.004003
">Quartò, dico, Cauſam huius apparentiæ primariam eſſe ipſam Solis ro
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tunditatem, quæ per ſingula foraminis cuiuſuis puncta in oppoſitum planum
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ſe ſe transfundit. </
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>
<
s
id
="
s.004004
">quod enim nuper de vnico puncto oſtenſum eſt, idem intel
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ligendum eſt de ſingulis foraminis punctis, per ſingula enim puncta ſingulæ
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illuminationes rotundæ in aduerſum planum tranſmittuntur, quæ quò lon
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gius à foramine proceſſerint, cò perfectiorem rotunditatem aſſequentur, ob
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eam cauſam, quàm in ſecunda prænotatione innuimus. </
s
>
<
s
id
="
s.004005
">quæ vt explicatius
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tractentur, neuè in hac Solis luce cæcutiamus, linearem demonſtrationem
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afferemus. </
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>
<
s
id
="
s.004006
">ſit ſolare corpus A B, foramen verò
<
expan
abbr
="
qualiſcunq;
">qualiſcunque</
expan
>
figuræ, veluti ri
<
lb
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mula C D, per quam Solis ſplendor illapſus oppoſitum planum, in quo F E,
<
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colluſtret. </
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>
<
s
id
="
s.004007
">iam ex infinitis punctis rimulæ C D, ſatis erit extrema duo C, </
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