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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EPISTOL AE.
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323
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file
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0323
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xlink:href
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<
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idem facere.</
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gr@tia
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æquator, ecliptica verò
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propoſitus
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orizon ſit
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& ſtella data ſit
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in orientali parte orizontis, circulus verò
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ille ſit, qui
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per polos eclipti
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cæ & per centrum ſtellæ terminat longitudinem ipſius ſtellæ, & in
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ipſo ſit eius latitudo. </
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eo quod illicò ſcie
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mus punctum
<
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qua propter oportet nos prius cognoſcere arcum
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qui demptus,
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vel additus arcui
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prius cognito ex ſuppoſito (nam data nobis eſt longitudo, &
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latitudo ſtellæ) dabit nobis
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.</
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<
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cognoſcere, ita faciemus. </
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cognitus
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nobis eſt ex ſuppoſito vt dictum eſt. </
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qui declin tionis eclipti
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cæ ab æquatore eſt, angulus deinde
<
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>
(trianguli
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>
) rectus eſt, ergo ex .4. primi
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copernici cogn@tus nobis erit arcus
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<
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a.b.</
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>
nec non angulus
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vnde an-
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gulus
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>
reſiduus ex duobus re-
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ctis in duobus primis hic ſubſcriptis
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/>
figuris nobis itidem cognitus erit,
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etiam & arcus
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>
reſiduus ſiue com
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poſitus ex ar cu
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>
cognito ex ſup-
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poſito
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ſit arcus latitud nis ab ecli-
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ptica. </
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in triangulo
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co-
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gnoſcimus latus
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>
& angulum
<
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>.o.
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b.e.</
var
>
nec non angulum
<
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>.b.e.o.</
var
>
qui eſt
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altitudinis æquatoris ab orizonte ,
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erit angulus
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. </
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deinde triangulum
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cuius angu
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lus
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rectus eſt, & angulus
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<
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latere
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etiam cognitus, vnde ex
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ſupradicta .4. nobis cognitus erit ar-
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cus
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& conſequenter cognoſce-
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mus at cum
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eius reſiduum, ſeu
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compoſitum, quem quærebamus.</
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cui orizonti propoſita ſtella oriatur
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cum eodem eclipticę puncto
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lon-
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gitudinis, hoc aliud nihil eſſet, quam
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cognoſcere amplitudinem anguli
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b.q.</
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eo quod talis orizon, idem cir-
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culus eſſet
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vnde cum quis ſci-
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ret vnum illorum angulorum quem
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æquator efficit cum orizonte, reli-
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qua illicò ei innoteſcent, ſed dictus
<
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angulus
<
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>
iam diximus quomodo
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cognoſcatur.</
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