Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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xml:space
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<
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<
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_propoſitio 9. </
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<
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<
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<
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_prodeuntes tangant eundem circulum minoremillo, quem_ D C, _tangere debet, &</
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<
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">SI polus parallelorum ſit in circunferentia ma
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ximi circuli, quem duo alij maximi circuli ad angu
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los rectos ſecent, quorum alter ſit vnus parallelo-
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rum, alter verò ſit obliquus ad parallelos; </
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<
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">in hoc
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autein obliquo circulo ſumãtur duo quælibet pun
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cta ad eaſdem partes maximi illius paralleli, perq́;
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</
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<
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ctorum deſcribantur maximi circuli: </
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<
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cunferentia maximi parallelorum intercepta inter
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maximum circulum primò poſitum, & </
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maximum circulum per polum, & </
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ctorum deſcriptum, ad circunferentiam obliqui
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circuli inter eoſdem circulos interceptam, ita cir-
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cunferentia maximi parallelorum intercepta inter
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duos magnos circulos per polum, perque vtrum-
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que punctorum deſcriptos, ad circunferentiam
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aliquam, quæ ſit minor, quam circunferentia obli-
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qui circuli inter vtrum que punctum intercepta.</
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<
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">SIT polus A, parallelorum in circunferentia maximi circuli A B, quem
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duo alij maximi circuli B D, C D, ſecent ad angulos rectos, & </
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lelorum maximus, & </
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punctis vtcunque E, F, deſcribantur per A, polum, & </
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ximi A E G, A F H. </
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">Dico, vt eſt arcus B H, ad arcum C F, ita eſſe arcum H G,
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ad arcum minorem arcu F E. </
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<
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">Aut enim arcus C F, F E, commenſurabiles
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ſunt, aut incommenſurabiles. </
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<
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">Sint primum commenſurabiles, vt in prima fi-
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gura; </
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<
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">inuenta eorum maxima menſura P, diuidantur arcus C F, F E, in ar-
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cus maximæ menſuræ æquales, perque puncta diuiſionum, & </
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<
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li maximi ducantur I M, K N, L O. </
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