Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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C, duobus angulis E, F, æquales, vtrumque vtrique, & </
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<
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">latera AC, DF, ſub-
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tendentia angulos æquales B, E, inter ſe æqualia, reliqua verò latera AB,
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DE, ſubtendentia alios æquales angulos C,F, non æqualia ſint ſemicirculo,
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ſed vel maiora, vel minora. </
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<
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CB, BA, reliquis lateribus FE, ED, eſſe æqua-
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lia, vtrumque vtrique, & </
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<
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gulos A, D, eſſe æquales. </
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<
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non ſunt æqualia, ſit CB, maius, & </
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<
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CG, arcus arcui FE, æqualis, & </
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">1. huius.</
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cus circuli maximi ducatur AG. </
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<
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tur latera AC, CG, lateribus DF, FE, æqua-
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lia ſunt, angulosq́ue continent æquales C, F;
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</
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<
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gulus E, angulo B, æqualis. </
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<
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B; </
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AG, arcui DE, oſtenſus ſit æqualis, erunt quoque arcus AB, DE, ſemicir-
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culo æquales: </
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dum. </
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ra AC, CB, ſint æqualia lateribus DF, FE, angulosq́ue æquales contineant
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C, F; </
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<
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rint duo triangula ſphæica, &</
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eſſe æqualia ſemicirculo. </
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ſphæricum _ABC,_ quodcunq; </
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">habens duo latera _AB, AC,_ inæqualia inter ſe, ſed
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ſimul ſemicirculo æqualia: </
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vſque ad _D,_ ita tamen, vt _BD,_ ſemicirculo ſit minor, du-
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caiur per _A, D,_ arcus circuli maximi _AD._ </
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<
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tur arcus _AB, AC,_ ſemicirculo æquales ſunt, erit angu-
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lus _ACD,_ angulo _B,_ æqualis. </
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_ACD;_ </
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leshabent, vtrumque vtrique, & </
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quod æqualibus angulis _B, C,_ ſubtenditur; </
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<
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que reliqualatera _AB, BD,_ reliquis lateribus _AC, CD,_
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æqualia ſunt, vtrumque vtrique, neque reliquus angulus _BAD,_ reliquo angulo
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_CAD,_ vt perſpicuum eſt. </
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<
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culo ſunt æqualia.</
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colai Co-
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pernici.</
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ſphæricorum hallucinaiur, cum docet, omne triangulum ſphæricum, cuius duo anguli
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vtcunque dati fuerint, cum aliquo latere, datorum eſſicv angulorum, & </
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</
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<
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non tamen ex hoc perueniemus in notitiam reliquerum laterum, & </
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cum reliqua latera eſſe poſsint vel _AC, CD,_ vel _AB, BD,_ &</
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præterea aliquid aliud conſtare, antequam reliquus angulus, cumreliquis lateribus
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cognoſcatur, vt in ſcholio propoſ. </
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