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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0322
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<
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xml:space
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ecli
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ptica verò
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æquator autem
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p.q.</
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punctus verò eclipticæ, cum
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quo ſtella oritura ſit
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orizon de
<
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<
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mum
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type
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vbi ſtella oriri poſſit
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norm
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cum
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type
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puncto
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. </
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<
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xml:id
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xml:space
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preserve
">Nam cum ſtella pro-
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ponitur, datur etiam eius longi-
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tudo, nec non latitudo, </
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<
s
xml:id
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xml:space
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">quare ar-
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cus
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& arcus
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>.a.o.</
var
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nobis cogni
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tus erit, cum ſupponatur arcus
<
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>.a.
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o.</
var
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eſſe circuli latitudinis, et
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>
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Iatitudo ipſius ſtellæ, & angulus
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a. rectus erit, & quia punctum
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>.e.</
var
>
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datur, ergo arcus
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>.a.o.</
var
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& arcus
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>.a.
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e.</
var
>
ſimul
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angulo
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>.a.</
var
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recto cogni-
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ti ſunt, vnde ex .11. primi lib. co
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pernici, angulus
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cognoſce-
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tur, & angulus
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>.q.e.o.</
var
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ſimiliter, vt
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reſiduum ex duobus rectis quo. e
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mediante cum angulo
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>.q.</
var
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declina
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tionis ab æquatore,
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reg
norm
="
medianteque
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type
="
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">medianteq́;</
reg
>
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latere
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>.q.e.</
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cognito, cognitus quo
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que nobis erit angnlus
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>
ex
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12. eiuſdem. </
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xml:space
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">qui quidem angulus
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erit altitudinis æquatoris ab ori-
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zonte quæſito, qui demptus à
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90. gradibus, dabit altitudinem
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poli ab orizonte quæſito.</
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<
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<
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xml:space
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">Inuenire poſtea gradum eclipticę, cum quo ſtella data oriatur ad orizontem pro
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poſitum, nullius eſt difficul@atis.</
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>
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<
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xml:space
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">Ponamus exempli gratia, aliquem ſcire velle gradum eclipticæ, cum quo canicu-
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la oritur ad orizontem, cui polus boreus eleuatur per gradus .44. quæ canicula ſup-
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ponatur habere gradus .19. cum min .24. </
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<
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xml:space
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">Cancri longitudinis, & gra .16. min .10. lati-
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tudinis meridianæ, quærere primum oportet eius declinationem ex doctrina .2. pro
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blematis tabularum directionum Monteregij, quæ erit graduum .6. cum minutis .5.
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ſeptentrionalis, </
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>
<
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xml:space
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">deinde inuenire eius aſcenſionem rectam ex doctrina .4. problema
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tis eiuſdem Monteregij, quæ erit gra .108. mi .42. </
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xml:space
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declinatione iam
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inuenta in tabulis differentiarum aſcenſionalium ſub polo .44. accipiemus differen-
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tiam aſcenſionum, qua differt recta ab obliqua, quæ in præſenti exemplo erit gra
<
num
value
="
5
">.
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5.</
num
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min .55. quæ dempta ab aſcenſione recta ſtellæ, vt præſens exemplum exigit, relin
<
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quet nobis aſcenſionem obliquam ſtellæ propoſitæ ad polum. gra .44. quæ erit gra
<
num
value
="
102
">.
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102.</
num
>
minu .47. qua mediante, in tabulis aſcenſionum obliquarum poli .44. habebi-
<
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mus gradum & minutum eclipticę cum quo ſtella oritur. </
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<
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xml:space
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">quod in caſu noſtro erit
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gra .1. min .8. Leonis, ſed ſi tecum non fuerint tabulæ dictæ, potes eleganter omnia
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hæc perficere via triangulorum ſphæricorum.</
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