Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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<
s
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">IN triangulo ſphærico rectangulo, dato alterutro arcuum circa
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angulum rectum, cum alterutro angulorum non rectorum, reperire
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alium arcum circa rectum angulum, & </
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<
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ctum, cum arcu, qui recto angulo opponitur: </
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<
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">dum modo, quando
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angulus datus opponitur arcui dato, conſtet, an reliquus arcus circa
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rectum angulum ſit quadrante minor, maiorve; </
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<
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">vel an reliquus an-
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gulus non rectus ſit acutus, obtuſusve.</
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<
s
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">IN triangulo
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, cuius angulus
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, rectus, da-
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435-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/435-01
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tus ſit primum arcus AC, cum angulo
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, ſibi adia-
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cente. </
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">Dico dari quoque arcum BC, vnà cum angu-
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lo B, & </
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. </
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<
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">44. huius.</
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ad ſinum arcus AC, ita tangens anguli A, ad tangen-
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tem arcus
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:</
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<
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<
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">SI (quando datur arcus cum angulo adia-
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<
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">Praxis, cũ
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datur arcus
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cum angu-
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lo adiacẽte.</
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cente) fiat, vt ſinus totus ad ſinum dati arcus,
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ita tangens anguli dati ad aliud, producetur
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tangens arcus quæſiti. </
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<
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">argulo dato, inue-
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nietur alter angulus non rectus, et arcus recto angulo oppoſitus, vt in pro-
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blemate 2. </
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<
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<
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<
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<
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">AN vero arcus quæſitus
<
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, ſit quadrante minor, maiorue, indicabit angulus
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datus
<
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. </
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<
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, quadrante minor; </
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<
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quadrante maior.</
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<
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, cum angulo
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, ſibi oppoſito, conſtetq́; </
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<
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altero arcu
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, num quadrante minor ſit, an maior; </
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<
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">vel an alter angulus A, acu-
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tus ſit, an obtuſus. </
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">Dico rurſum dari arcum
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, vnà cum angulo
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, & </
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<
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">arcu
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.
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</
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<
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">Cum enim ſit, vt tangens anguli
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, ad tangentem arcus
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, ita ſinus totus ad ſi-
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num arcus
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:</
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<
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">SI (quando datur arcus cum angulo oppoſito) fiat, vt tangens angu-
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datur arcus
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cũ angulo
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oppoſito.</
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li dati ad tangentem dati arcus, ita ſinus totus ad aliud, reperietur ſinus
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arcus quæſiti. </
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<
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lus non rectus, & </
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">arcus recto angulo oppoſitus, vt in problemate 2. </
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<
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poſ. </
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<
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<
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, ſit quadrante minor, an maior, vt
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ſciamus, qualis arcus inuento ſinui reſpondens accipiẽdus ſit, an videlicet minor qua-
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dr ante, an vero maior. </
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<
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<
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, qualis ſit, ſtatim cognoſce-
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remus, qualis ſit arcus
<
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. </
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<
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drante minor: </
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<
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">exiſtente vero obtuſo, quadrante maior. </
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<
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