Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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lo D, intriangulo ABD, oppoſitus, quam arcus AC, angulo recto D, in
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triangulo ACD, oppoſitus inueniatur. </
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<
s
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problematis 2. </
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<
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<
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<
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non recto BAD, in triangulo ABD, oppoſitum, quam arcum CD, an-
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gulo non recto CAD, oppoſitum in triangulo ACD.</
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<
s
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">QVOD ſi in hoc problemate enodando ſolis ſinubus vti libeat, inue-
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ſolos ſinus,
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quãdo om-
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nes tres an
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guli dati
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ſunt inæ-
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quales.</
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niendus erit vterque angulus BAD, CAD, per praxim tertiam propoſ.
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problematis 1. </
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">42, huius, eliciendus tam arcus BD, angu-
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lo non recto BAD, oppoſitus in triangulo ABD, quam arcus CD, an-
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gulo nonrecto CAD, in triangulo ACD, oppoſitus. </
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<
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praxim problematis 3. </
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<
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quam arcus AC, recto angulo D, quilibet in ſuo triangulo oppoſitus: </
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præter inuentum arcum BD, & </
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ter arcum inuentum CD, & </
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<
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">angulum CAD, oppoſitum, conſtat etiam
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">Quãdo oẽs
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tres anguli
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dati@, vel
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duo ſalté,
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sũc ęquales.</
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ſpecies tam anguli B, quam anguli C, cum vterque datus ſit.</
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<
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duo ſaltem, ſunt æquales. </
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quid ſit de reliquo A; </
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gulum ABC, ponitur non rectangulum, erit vterque an-
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gulorum æqualium B, C, vel acutus, vel obtuſus. </
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arcus perpendicularis AD, ex tertio angulo A, ad arcum
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BC, demiſſus intra triangulum cadet. </
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la ABD, ACD, angulos ad D, rectos habent, & </
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B, C, non rectos, æquales; </
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angulis oppoſitos, æquales, vt oſtendimus; </
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<
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BD, CD, & </
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vterque angulus BAD, CAD, cum dimidium ſit dati an-
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guli BAC, notus erit. </
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ABD, rectum habente angulum D, datus eſt vterque an-
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gulus non rectus B, & </
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huius.</
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ſitus; </
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vel 52. huiꝰ.</
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AB, AC, noti facti ſunt. </
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duo anguli non recti B, & </
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</
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huius.</
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poſitus, & </
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</
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huius.</
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oppoſitus, cum angulo non recto BAD;
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</
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<
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<
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tertium arcum BC, notum exhibebit. </
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noti effecti ſunt.</
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