Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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circunferentias vero maximorum circulorum inter parallelos, nempe A E,
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B F, C G, D H, æquales eſſe. </
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parallelorum rectæ A C, E G, quæ parallelæ erunt: </
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<
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circuli B I D, & </
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">parallelorum eorundem, rectæ B D, F H, quæ ſimiliter pa-
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rallelæ erũt. </
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<
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">Et quia circuli maximi A I C,
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B I D, per polos parallelorum deſcripti ſe-
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cant parallelos bifariam; </
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<
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">erunt A C, B D,
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diametri circuli A B C D, & </
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ſe interſecant, centrũ eiuſdem: </
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F H, diametri circuli E F G H, & </
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K, vbi ſe interſecant, centrum eiuſdẽ. </
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niam igitur rectæ E K, K F, rectis A L, L B,
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parallelæ ſunt, ſuntq́; </
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runt anguli E K F, A L B, ad centra K, L,
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æquales. </
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per ea, quæ in ſcholio propoſ. </
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clid. </
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">RVRSVS, quia rectæ ex polo I, ad puncta A, B, C, D, demiſſæ æquales
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ſunt, ex defin. </
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dem modo æquales erunt arcus I E, I F, I G, I H. </
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rentiæ A E, B F, C G, D H, æquales inter ſe erunt. </
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ſphæra paralleli circuli, &</
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">SI in diametris circulorum æqualium æqua-
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lia circulorum ſegmenta ad angulos rectos inſi-
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ſtant, à quibus ſumantur æquales circunferentiæ,
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quarum quælibet inchoata ab extremitate ſui ſe-
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gmenti, ſit minor ſemiſſe circunferentiæ integri
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ſegmenti, à punctis autem æquales circunferen-
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tias terminantibus ducátur æquales rectæ lineę ad
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circunferentias circulorum primo poſitorum; </
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ſæ circulorum primo poſitorum circunferentiæ
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interceptæ inter illas rectas lineas, & </
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diametrorum, erunt æquales.</
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