Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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& </
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<
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">ex K I, ſumatur K N, ipſi M L, æqualis; </
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<
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deſeribatur A O N, ſecans circulum C D, & </
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cedentis propoſ. </
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">inueniatur arcus F P, maior quidem, quàm F O, minor ve-
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rò quàm F E, & </
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">ſitque G Q, ipſi F P, (qui minor eſt, quàm
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E F, atque adeo minor etiam quàm G H, ip-
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ſi E F, æqualis.) </
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circuli maximi deſcribantur A P R, A Q S. </
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Quoniam igitur arcus P F, G Q, æquales
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ſunt non continui, eſtq́ue vtrique illorum
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commenſurabilis arcus intermedius F G; </
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vt demon ſtratum iam eſt in prima ſigura, ar-
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cus S L, maior arcu K R. </
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maior erit, quàm K N; </
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to maior erit, quàm K N: </
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M L, æqualis poſitus eſt. </
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quàm K I.</
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<
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culi maximi A N P, A O Q. </
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maior quàm P I. </
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dimidiũ ipſius M L; </
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dium ipſius K I. </
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æquales; </
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">erit Q L, minor, quàm K P, quod eſt
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abſurdum. </
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dimidij æqualium arcuum E F, G H, æquales
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ſunt non continui, non poterit Q L, minor
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eſſe, quàm K B; </
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demonſtratum eſt. </
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cui K I, æqualis eſt: </
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ſus. </
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lorum ſit in circunferentia, &</
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continuis, quod de continuis propoſ. </
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bus Theorematibus eadem de arcubus non continuis, quæ Theodoſius de continuis de-
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monſtrauit propoſ. </
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<
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duo alij maximi circuli ad angulos rectos ſecẽt, quorum circulorum
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alter ſit vnus parallelorum, alter verò ad parallelos obliquus ſit, & </
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hoc obliquo circulo ſumantur æquales circunferentię, quę continuę
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quidem non ſint, ſed tamen ſint ad eaſdem partes maximi illius </
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