Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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xml:space
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">IN triangulo ſphærico rectangulo, dato vtrouis arcuum circa an-
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gulum rectum, cum angulo non recto oppoſito, inquirere teliquum
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angulum non rectum, & </
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<
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<
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">modo conſter,
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an quæſitus angulus ſit acutus, obtuſusve: </
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<
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xml:space
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circa angulum rectum ſit minor quadrante, an maior.</
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<
s
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xml:space
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">IN triangulo ABC, angulum C, rectum habente, datus ſit arcus
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, cum an-
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gulo
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. </
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<
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xml:space
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">Dico dari quoque engulum
<
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, cum arcubus
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,
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/453-01
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<
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. </
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<
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arcus
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, dati, ita ſecans anguli dati
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, ad ſecantem
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">56. huius.</
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complementi anguli
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:</
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<
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">Praxis.</
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arcus dati, ita ſecans dati anguli ad aliud, repe-
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rietur ſecans complementi anguli alterius non re-
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cti. </
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<
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">Hinc ex duobus angulis non rectis notis inue-
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ſtigabitur arcus recto oppoſitus angulo, vt in problemate propoſ. </
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<
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ſtrauimus, ac proinde & </
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nitur, & </
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">ex noto angulo, qui reliquo arcui opponitur, vt in problemate 2.
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<
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">OTORTET autem conſtare, an reliquus angulus non rectus, qui quæritur ſit
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acutus, obtuſusve; </
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<
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">vel, an reliquus arcus circa angulum rectum ſit minor, aut maior
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quadrante, vt ad calcem problematis 2. </
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<
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<
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<
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Nicolai Copernici deteximus.</
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<
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">QVONIAM vero abſolutus iam eſt triangulorum ſphæricorum rectangulorum
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calculus, libet hoc loco omnia problemata hactenus explicata in tabulam quandam
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referre, vt facilius quilibet id, quod maxime ſcire deſiderat, poſsit inuenire. </
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<
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cum in omni triangulo ſphærico rectangulo id, quod primo loco quæritur, ſit vel ar-
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cus recto angulo oppoſitus, vel vterlibet arcuum circa rectum angulum, vel denique
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alteruter angulorum non rectorum, (quamuis eo, quod potiſsimum quæritur, inuen-
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to, cætera quoque reperiantur, vt ad praxes ſingulorum problematum monuimus)
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trimembrem tabulam, pro numero quæſitorum, conſecimus, appoſuimuſque problema-
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ta propoſitionum, in quibus inuentiones quæſitorum demonſtratæ ſunt.</
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tionum in trimembrem tabel-
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lam digeſta.</
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