Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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cipient circunferentias de maximo parallelorum,
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quarum propior circulo maximo primò poſito
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ſemper erit maior remotiore.</
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<
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xml:space
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">IN ſphæra maximus circulus A B, tangat circulum A C, in A; </
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alium illi æqualem, & </
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<
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xml:space
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">alius circulus maximus D E, ad paralle-
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los obliquus tangat alios parallelos maiores, ſintq́ue cõtactus in circulo A B,
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cuiuſmodi eſt punctum D; </
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<
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tem circulo D E, ſumantur arcus æquales F G, G H; </
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<
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xml:space
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">per puncta F, G, H,
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circuli maximi deſeribantur C I, K L, M N, tangentes parallelum A C, in
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C, K, M, ſecantesq́ue B E, maximum parallelorum in I, L, N, ita vt ſimiles
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arcus parallelorum interci-
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piant, eorumque ſemicirculi
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à punctis C, K, M, incipien-
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tes, & </
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tes non conueniant cum ſe-
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micirculo circuli A B, ab A,
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incipiente, & </
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ſeunte. </
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iorem eſſe arcu L N. </
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bantur enim per F, G, H, pa-
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ralleli P F, Q G, R H, ſecan-
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tes circulum K L, in O, S. </
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ergo arcus P Q, maior arcu
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Q R; </
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les arcus G O, G S, erit & </
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maior, quàm G S. </
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ipſi G S, æqualis, & </
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rallelus deſeribatur V T, ſe-
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cans circulum M N, in X. </
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quoniam eommunis ſectio cir
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culorum M N, V X, hoc eſt,
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recta ab X, ſectione, ad alte-
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ram ſectionem ducta auſert ſegmentum, quod incipit ab X, & </
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vſq; </
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<
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ſecans parallelum V X, non per polos auſert ſegmentum maius ſemicirculo,
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quod nimirum eſt inter maximum parallelorum, & </
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eſt ſegmentum incipiens ab X, & </
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nem cum circulo M N.) </
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ſemicirculo, quod nimirum ab X, incipiens per N, ad alteram ſectionem tran-
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ſit; </
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erit hic rectus ad B E. </
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School. 15. 2.
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huius.</
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enim ex puncto F, duo circuli tangentes parallelum A C, duci poſſunt, vnus
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ad ſiniſtram circuli maximi Y N, & </
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vt nimirum ponatur inter maxim os circulos Y N, B E.) </
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