Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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dimus. </
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">Cum ergo angulus B, datus ſit, erit quoque C, illi æqualis, datus. </
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de quia in triangulo ABD, habente rectum angulum D, datus eſt arcus AB,
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angulo recto oppoſitus, cum angulo B; </
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<
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">Schol. 47.
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huius.</
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duplicatus totum angulum BAC, quæſitum offeret notum. </
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<
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xml:space
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eodem triangulo ABD, datus eſt arcus AB, recto angulo oppoſitus, cum an-
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">Schol. 41.
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huius.</
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gulo BAD, inuento:</
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<
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vel52. huiꝰ.</
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datus eſt:</
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<
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<
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">VEL denique, quia datus eſt arcus AB, angulo re-
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huius.</
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cto oppoſitus, cum angulo B, non recto;</
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<
s
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xml:space
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">cognoſcetur quoque, per ſcholia in margine allata, arcus BD, circa angulum
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rectum; </
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<
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<
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<
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">inueniendus primum erit ar-
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">Praxis, per
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ſolos ſinus,
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quãdo duo
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arcus dati
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ęquales sũt.</
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>
cus AD, per praxim problematis 2. </
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<
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<
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praxim problematis ſcholij propoſ. </
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<
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quæſitum BC, dabit. </
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<
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">Deinde per praxim problematis 1. </
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<
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</
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<
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">vel per praxim problematis 2. </
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<
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BAD; </
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<
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">ex quo eius duplus BAC, quem quærimus, notus erit: </
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<
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tem angulus C, iam datus eſt, cum æqualis ſit dato angulo B.</
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<
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">DATIS igitur duobus arcubus trianguli ſphærici non rectanguli, cuns
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vno angulo, qui alteri eorum opponitur, &</
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<
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<
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<
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, alteri da-
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to arcui oppoſitus ſit acutus, obtuſus ve, vt ſciatur, num perpendicularis arcus AD,
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intra triangulum cadat, nec ne. </
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<
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addendus ſit angulo
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D, an ab eo ſubtrahendus, vt inueniatur angulus
<
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C, quæ-
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ſitus: </
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<
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cus quæſitus
<
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C, reperiatur. </
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<
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">Vel denique, num angulus inuentus ACD, ſit is, qui
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quæritur, an vero reliquus duorum rectorũ, vt manife§tum eſt. </
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<
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ſi duo arcus dentur, cum angulo vni eorum oppoſito, ad inquirendos reliquos angu-
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los, cum reliquo arcu, iam dudum ſupra docuimus in ſcholio propoſ. </
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<
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pernici.</
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Nicolaum Copernicum erraſſe lib. </
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poſ. </
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xlink:href
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ſe, dari duos
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arcus, cum
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angulo vni
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eorũ oppo
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ſito, in triã
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gulo nõ re-
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ctãgulo, vt
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reliqua in-
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ueniantur.</
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uiter ita hic rurſus oſtendemus. </
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<
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AD, AC, angulum DAC, ambientes, & </
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drante minor, aut maior. </
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circuli maximi CD, ducatur ad eum productum alius ar
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cus
<
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, ex A, neque per polos arcus CD, neque per po-
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los arcus AD, ita vt anguli B, & </
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<
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</
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<
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<
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">Si namque vterque
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arcus AD, AC, minor eſt quadrante, erunt duo anguli C, & </
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<
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<
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vterq; </
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<
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">arcus AD,
<
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C, quadrante maior eſt, erunt duo anguli C, & </
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