Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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116
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<
lb
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<
emph
type
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italics
"/>
ſemper ſemicirculo, minus autem,
<
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cum in meridie fuerit aſtrum)
<
emph.end
type
="
italics
"/>
quod
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lb
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ſupra monui, iterum moneo,
<
expan
abbr
="
re-tinẽdam
">re
<
lb
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tinendam</
expan
>
vocem reflexionis,
<
expan
abbr
="
quã-uis
">quam
<
lb
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uis</
expan
>
in antiqua tranſlatione lega
<
lb
/>
tur refractio, eſt enim apud om
<
lb
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nes in confeſſo Iridem fieri per
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lb
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reflexionem. </
s
>
<
s
id
="
s.002044
">Eſt igitur in ſupe
<
lb
/>
riori figura, quam textui, vt par
<
lb
/>
erat reſtitui, horizon G K O. cuius centrum K. in quo eſt viſus noſter,
<
expan
abbr
="
ſitq́
">ſitque</
expan
>
;
<
lb
/>
hemiſphærium noſtrum in arcu G A M O, repræſentatum,
<
expan
abbr
="
ſitq́
">ſitque</
expan
>
; nubes rori
<
lb
/>
da, in qua Iris appareat, vbi M, quod punctum M, nubem referens, in figu
<
lb
/>
ra ponitur in hemiſphærij ambitu, quod cœlum repræſentat, cum tamen
<
lb
/>
nubes parum à terra ſubuehatur; id enim ad demonſtrationem ferè perinde
<
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eſt. </
s
>
<
s
id
="
s.002045
">in oriente G, ſit aſtrum. </
s
>
<
s
id
="
s.002046
">ſi ergò lineæ viſuales à K, ad M, nubem tenden
<
lb
/>
tes reflectantur ſuper maiorem angulum M K G, ad G, erit reflexarum vna
<
lb
/>
veluti M G. </
s
>
<
s
id
="
s.002047
">Porro omnes lineæ viſuales, quæ ad nubem M, incidunt, neceſ
<
lb
/>
ſariò, vt probabo, cadent in ambitum circularem. </
s
>
<
s
id
="
s.002048
">debemus enim innume
<
lb
/>
ras lineas imaginari à K, in coni figuram excidentes, cuius vertex ſit in K,
<
lb
/>
& axis G K O, quas omnes repræſentat vna K M,
<
expan
abbr
="
meliusq́
">meliusque</
expan
>
; repræſentabit, fi
<
lb
/>
cogitemus axem G K O, circa polos G, O, manentes circumuolui,
<
expan
abbr
="
ſecumq́
">ſecumque</
expan
>
;
<
lb
/>
lineam K M, circumducere. </
s
>
<
s
id
="
s.002049
">in hac etiam giratione linea K M, tranſibit per
<
lb
/>
omnes illas lineas, quas imaginabamur;
<
expan
abbr
="
deſcribetq́
">deſcribetque</
expan
>
; conum, quem illæ con
<
lb
/>
formare debebant. </
s
>
<
s
id
="
s.002050
">In prædicta autem axis volutatione, extremum M, li
<
lb
/>
neæ K M, neceſſariò deſcribit circulum, qui eſt circulus Iridis, & eſt baſis
<
lb
/>
memorati coni.</
s
>
</
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<
p
type
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">
<
s
id
="
s.002051
">Si igitur oriente, vel occidente aſtro fiat iris, Iris erit ſemicirculus, ideſt
<
lb
/>
illa ſemiſſis circuli prędicti (quem horizon bifariam diuidit) quæ ſupra ter
<
lb
/>
ram extabit. </
s
>
<
s
id
="
s.002052
">ſi autem aſtrum eleuatum ſupra horizontem fuerit, quando fit
<
lb
/>
iris, erit ſemper arcus Iridis ſemicirculo minor;
<
expan
abbr
="
tuncq́
">tuncque</
expan
>
; minimus
<
expan
abbr
="
cũ
">cum</
expan
>
aſtrum
<
lb
/>
<
expan
abbr
="
meridianũ
">meridianum</
expan
>
<
expan
abbr
="
circulũ
">circulum</
expan
>
occupauerit. </
s
>
<
s
id
="
s.002053
">hęc tria ſunt, quæ deinceps
<
expan
abbr
="
probãda
">probanda</
expan
>
recipit.</
s
>
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<
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type
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">
<
s
id
="
s.002056
">Ibidem
<
emph
type
="
italics
"/>
(Sit enim in
<
expan
abbr
="
oriẽte
">oriente</
expan
>
pri
<
lb
/>
mum vbi G, & refracta ſit K M,
<
lb
/>
ad G, & planum erectum ſit in quo
<
lb
/>
A, à triangulo in quo G K M, cir
<
lb
/>
culus igitur erit ſectio ſphæræ, qui
<
lb
/>
maximus ſit in quo A, differet enim
<
lb
/>
nihil ſi quod
<
expan
abbr
="
cŭq;
">cŭque</
expan
>
eorum, quæ ſuper
<
lb
/>
G K, ſecundum triangulŭ K M G,
<
lb
/>
erectum fuerit planum. </
s
>
<
s
id
="
s.002057
">lineæ igitur
<
lb
/>
ab ijs, quæ G, K, ductæ in hac ratio
<
lb
/>
ne non conſtituentur ad aliud, &
<
lb
/>
aliud punctum, quàm ſemicirculi
<
lb
/>
in quo A. </
s
>
<
s
id
="
s.002058
">Quoniam enim puncta
<
lb
/>
G, K, data ſunt, & quæ K M, vtique data erit; & quæ M G, ad M K; datam igi
<
lb
/>
tur circunferentiam tanget M, fit
<
expan
abbr
="
itaq;
">itaque</
expan
>
hæc in qua M N, quare ſectio circunferen-
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"/>
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