Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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dictum lumen conſpiceretur, quia non ſufficit extenſio luminis, cum eiuſdem inten
<
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ſio ſit etiam neceſſaria. </
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<
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xml:space
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">Sed id quoque tibi dico, quod etiam ſi dicta ſexageſima
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pars totius luminis lunaris, eadem intenſione ſplendoris, & luminis Veneris, in tali
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diſtantia trium graduum à Sole prædita eſſet, non eam
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videremus, ratione ob
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liquitatis curuę, & ſphæricę ſuperficiei Lunæ, reſpectu noſtri, in huiuſmodi ſitu: </
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<
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xml:space
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<
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type
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tibi ita demonſtratum volo.</
s
>
</
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<
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<
s
xml:id
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xml:space
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preserve
">Pars ſuperficialis lunaris globi, quæ nos reſpicit ſit
<
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>.a.p.u.</
var
>
quam accipere poſſu-
<
lb
/>
mus pro medietate ipſius ſuperficiei totalis, eo quod reſpectu noſtri viſus, inſenſibi
<
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/>
liter, ab ipſa medietate differat, pars autem à Sole viſa ſit
<
var
>.u.q.a.</
var
>
cogitemus etiam cir
<
lb
/>
culum
<
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>.a.p.u.q.</
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>
vnum eſſe ex maioribus ipſius globi, cuius ſuperficies
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type
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per ocu
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lum vidontis, vnde pars eius
<
var
>.a.p.u.</
var
>
diuidet vmbram per æqualia, reliqua verò pars
<
var
>.
<
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a.q.u.</
var
>
diuidet per æqualia lumen ipſius Lunæ à Sole receptum, ita quod pars illumi
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/>
nata, erit medietas
<
var
>.u.q.a.</
var
>
exceſſus verò, cum noſtro viſui incompræhenſibilis ſit, pro
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nihilo reputetur, cuius cauſa eſt, maxima illa diſtantia, quæ inter Solem, & Lunam
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reperitur, quamuis Sol maior ſit Luna multis millibus vicium, eo quod tunc inter So
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lem, & Lunam reperiantur plus quam .570. diametri terræ.</
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>
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<
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<
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xml:id
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xml:space
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">Supponamus nunc Lunam remotam eſſe à loco ipſius
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norm
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coniunctionis
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cum Sole per
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3. gradus. </
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">vnde
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prius
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fig-0312-01
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0312-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0312-01
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>
lumen erat in gyro
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>.a.q.u.</
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>
nunc re-
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periatur in gyro
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>.x.q.t.</
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ita quod
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>
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erit ſexageſima pars ipſius
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>
<
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norm
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quod
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type
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à vero ſenſibiliter non diſcedit.
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</
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<
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xml:space
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">Imaginentur nunc duæ rectæ lineæ
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ductæ ab oculo
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>.d.</
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ad puncta
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>.t.</
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>
et
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>.u.</
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>
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verum tamen eſt quod linea
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>.d.u.</
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>
ſe-
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cabit
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ſed ita propinqua
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cto
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quod erit ei ferè contingens,
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vnde abſque ſenſibili errore poſſu-
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mus arcum
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>.t.u.</
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>
intelligere inter duas
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lineas
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>.d.t.</
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et
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>.d.u.</
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quapropter tale lu-
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men compræhendetur, ferè, ſub an-
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gulo
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var
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quem quidem angulum
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oportet nos videre, cuius magnitu-
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dinis exiſtat, reſpectu totalis anguli
<
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<
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>a.d.u.</
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>
protracta cum fuerit
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>
.</
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<
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xml:space
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vſque ad
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diametrum in puncto
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>.i.</
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deinde per
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puncta
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>.a.</
var
>
et
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>.u.</
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ducatur arcus
<
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cir
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ca
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<
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norm
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centrum
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, ad quem ducatur linea
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d.t.i.</
var
>
in puncto
<
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>.e.</
var
>
ſed quia, cum dia-
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meter
<
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>.a.u.</
var
>
tam breuis ſit reſpectu di
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ſtantiæ à terra, tempore interlunij,
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vnde minor
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parte ipſius di-
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ſtantiæ exiſtit,
<
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type
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nos poſſe
<
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type
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>
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ſenſibili errore cogitare, à puncto
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>.d.</
var
>
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ad quoduis punctum ipſius diametri
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omnes lineas ad angulos rectos cum
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ipſo diametro, & inſenſibilis inæqua </
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