Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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lum _B D,_ ponitur ſecare ad angulos rectos, erit ex defin. </
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num circuli _B D,_ recta; </
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<
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polum eiuſdem cadet. </
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huius.</
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ſphæræ exiſtem ad puncta _A, C._ </
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<
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culus _A B C D,_ circulũ _B D,_ per polos _A, C,_ ſecat. </
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<
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maximus circulus eſt. </
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<
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in planum ipſius ad angulos rectos æqualis ſit ſemidiametro eius,
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circulus maximus eſt.</
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">_IN_ſphæra ſit circulus _AB_, à cuius altero polorum _C,_ in planum eius cadens re
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eta perpendicularis _C D,_ æqualis ſit ipſius ſemidiametro. </
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ximum. </
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centrum, & </
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li _AB;_ </
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ſit per centrum ſphæræ. </
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huius.</
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in ſphæra planum vtcunque faciens in ſphæra
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circulum _A E B C,_ qui cum tranſeat per centrũ,
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ſphæræ, maximus erit: </
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in punctis _A, B,_ & </
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">iungatur ſemidiameter _D B,_
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cui ex hypotheſi æqualis eſt _G D._ </
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_C D,_ perpendicularis ponitur ad circulum A B,
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erit, ex deſin. </
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">angulus _C D B,_ re-
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fextf.</
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ctus. </
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_C D, D E,_ hoc eſt, erit, vt _C D,_ ad _B D,_ ita _B D,_
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ad _D E._ </
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tur & </
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& </
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ſphæræ, erit _D,_ centrum ſphæræ. </
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eſt centrum ſphæræ. </
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">circuli _A B,_ ac proinde circulus _A B,_ maximus eſt. </
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propoſitum.</
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<
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ducta ab eiuſdem circuli polo ad circunferentiã
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æqualis eſt lateri quadrati inſcripti in maximo cir-
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culo.</
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<
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ducatur recta C B. </
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