Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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xml:space
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angulum rectum, cum angulo non recto adiacente, inuenire arcum
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recto angulo oppoſitum, & </
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cum reliquo angulo non recto.</
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<
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, cuius angulus C, rectus, datus ſit arcus AC, & </
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<
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A. </
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, & </
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totus ad ſinũ complementi anguli A, ita tangens arcus
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, ad tangentem arcus AC;
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Et conuertendo, vt ſinus complementi anguli
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, ad ſinum totum, ita tangens arcus
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AC, ad tangentem arcus AB:</
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ad ſinum totum, ita tangens arcus dati ad aliud,
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reperietur tangens arcus recto angulo oppoſiti,
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qui quæritur. </
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inuenietur arcus BC, per problema 2. </
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AC, oppoſitus, per problema 1. </
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poſ. </
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angulus A, fuerit acutus, erit arcus BC, quadrante minor. </
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,
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ſit quoq; </
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C, ſit quadrante ma-
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ior, erit & </
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, maior. </
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, ſuerit, obtuſus, erit arcus BC, qua-
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drante maior: </
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, ſit quoque maior, erit arcus AB, minor qua-
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drante; </
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<
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<
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angulum rectum, cum arcu, qui recto angulo opponitur, inueſtigare
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angulum à dictis arcubus comprehenſum, hoc eſt, arcui, qui circa
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angulum rectum datus eſt, adiacentem, cum reliquo arcu, & </
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<
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arcu BC, & </
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<
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li A, ita tangens arcus AB, ad tangentem arcus AC: </
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ad tangentem arcus AC, ita ſinus totus ad ſinum complementi anguli A:</
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<
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arcus circa rectum angulum, ita ſinus totus ad aliud, procreabitur ſinus
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complementi anguli quæſiti. </
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problemate.</
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