Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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erit vterque angulus A, B, rectus. </
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tum. </
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">Producto enim arcu BC, ad D, vt ſit BD, quadrans, ducatur per pun-
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cta A, D, arcus AD, cir-
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culi maximi. </
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tur duo arcus BA, BD,
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quadrãtes ſunt, erit vter-
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que angulus D, & </
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rectus. </
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angulus BAC.</
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<
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maior quadrante. </
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angulum BAC, obtuſum
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eſſe. </
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cus æqualis quadrãti AB;
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</
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circuli maximi deſcriba-
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tur AD. </
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">Et quia duo arcus BA, BD, quadrantes ſunt, erit vterque angu-
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lus BDA, DAB, rectus. </
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<
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">DICO præterea, in omnibus his punctum A, polum eſſe baſis BC. </
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enim latera AB, AC, ponantur quadrantes, erit vterque angulus ad baſim
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BC, rectus; </
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<
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">ac propterea vterque arcus AB, AC, per polum arcus BC, tran-
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ſibit. </
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ue angulus A, ſit rectus, ſiue acutus, ſiue obtuſus, ſemper punctum A, vbi
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coëunt arcus AB, AC, polus erit baſis BC. </
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ſcele ſphærico, cuius duo latera, &</
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">_IMMO_ in omni triangulo ſphærico babente duos angulos rectos, demonſtrabi-
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mus eodem modo, in concurſu duorum laterum, quæ rectos ſubtendunt angulos, re-
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liqui lateris, quod rectis angulis adiacet, polum eſſe, etiam ſinondum ſciatur, duo
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illa latera eſſe quadrantes. </
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<
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_B, C._ </
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BC, tranſibits ac propterea A, polus erit arcus BC.</
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<
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gulos rectos _B, C._</
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cus ſint quadrante maiores, vel vnus quadrans,
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& </
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guli ſunt obtuſi.</
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