Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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nor. </
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arcus AC, quadrante maior. </
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<
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xml:space
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ctangulo, &</
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cus rectum angulum ſubtendens fuerit quadrans,
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erit ſaltem alter reliquorum angulorũ rectus quo-
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que: </
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rum angulorum vel maior recto, vel minor: </
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nique quadrante maior, erit alter reliquorum an-
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gulorum maior recto, & </
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<
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">IN triangulo ſphærico ABC, cuius angulus B, rectus, ſit primum arcus
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AC, ſubtendens angulum rectum B, quadrans. </
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lorum A, C, rectum quoque eſſe. </
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AC, quadrans, erit ſaltem alter arcuum AB, BC, quadrans; </
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angulus A, vel C, quem ille arcus ſubtendit, rectus erit.</
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<
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<
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vtrumque angulorum A, C, eſſe maiorem, vel mino-
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rem recto. </
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ior quadrante, vel minor. </
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A, C, maior erit recto, vel minor.</
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<
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<
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te. </
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<
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rem, & </
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AB, BC, quadrante maior, & </
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<
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alter angulorum A, C, recto erit maior, & </
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nor. </
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dendum erat.</
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<
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">EX his omnibus colligitur, In omni triangulo ſphærico, cuius vnus arcuum eſt qua-
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drans, vnusq́ue angulorum rectus, reliquorum quoque arcuum vnum ſal@em eſſe quadran
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tem, & </
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& </
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<
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<
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dens quadrans; </
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<
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<
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<
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rectum ſubtendens quadrans eſt, erit & </
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<
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dentium, vel alter ſaltem quadrans; </
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<
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<
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rectus. </
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<
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<
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duntaxat arcus ſit quadrans, ſed vel nullus erit quadrans, vel omnes tres, vel duo quadran-
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ces erunt.</
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