Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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duos quidem maiores quadrante, & </
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quidem quadrante maiores, reliquus verò quadrante minor. </
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<
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culi in ſuperficie ſphæra continentes angulos _A, C,_ obtuſos. </
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duo arcus æquales _AB, AD,_ quorum vterque
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maior ſit ſesqusaltero quadrante, ita vt ambo
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ſimul tres quadrantes ſuperent; </
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<
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autem per puncta _B, D,_ arcus circuli maximi
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_BD;_ </
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enim tres arcus _AB, AD, BD,_ integro circu-
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lo minores ſint, ponatur autem duo arcus _AB,_
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_AD,_ tribus quadrantibus maiores; </
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ſario tertius arcus _BD,_ minor quadrãte: </
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ſi quadrans eſſet, aut maior quadrante, ſupe-
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rarent tres arcus trianguli _ABC,_ integrum
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circulum. </
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necnon & </
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<
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_A, B, D,_ obtuſi; </
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tantum, & </
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at tertius arcus _BD,_ quadrante minor, vt oſtendimus.</
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omnes arcus ſint quadrante minores, reliqui duo
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anguli acuti ſunt. </
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ti, erunt ſinguli arcus quadrante minores.</
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drante minores. </
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arcus BA, BC, vt ſint quadrantes BD, BE; </
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mi circuli ducatur CD, necnon per puncta A, E, ar-
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cus circuli maximi AE. </
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ob angulum rectum B, per polos arcus BC, tranſit,
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Coroll. 16.</
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abeſtq; </
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mi ab eo, erit D, polus arcus BC. </
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lus BCD, rectus; </
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tus. </
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rectum B, per polos arcus AB, tranſit, abeſtq́; </
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circuli maximi quadrante maximi circuli ab eo, erit
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E, polus arcus AB, Igitur angulus EAB, rectus erit;
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ac proinde BAC, acutus.</
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<
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<
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C, acuti. </
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li BCD, BAE. </
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que arcus BD, CD, quadrans. </
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dem modo arcus BC, minor erit quadrante; </
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