Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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culus maximus I K. </
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H K, maior quàm K G; </
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">atque adeo H K, maior erit dimidio ipſius H G, Qua-
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re maior erit proportio H K, ad F I, quàm arcus dimidij ipſius H G, ad F I:
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Sed vt dimidium arcus H G, ad F I, dimidium arcus F E, ita eſt totus arcus
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H G, ad totum arcum F E, Igitur maior erit proportio H K, ad F I, quam H G,
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ad F E: </
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">Ponitur autem, vt H G, ad F E, ita B H, ad C F. </
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que proportio H K, ad F I, quàm B H, ad C F; </
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cum arcu F I, maiorem erit, vt B H, ad C F. </
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tum enim proxime ſuit in ſecunda figura, non poſſe eſſe, vt eſt arcus B H, ad
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C F, ita arcum H K, ad arcum arcu F I, maiorem. </
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C F, ita H G, ad F E: </
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F E, maiorem, vt demonſtratum eſt. </
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arcum arcu F E, minorem. </
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&</
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arcum F E. </
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maior proportio arcus H G, ad arcum arcu F E, minorem, quàm ad F E; </
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proportio B H, ad C F, quàm H G, ad F E.</
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ximi circuli, quem duo alij maximi circuli ad an-
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gulos rectos ſecent, quorum alter ſit vnus paralle-
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lorum, alter vero ſit obliquus ad parallelos; </
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autem maximus circulus per polos parallelorum
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tranſiens obliquum circulũ ſecet inter maximum
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parallelorum, & </
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git: </
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quem tãgit obliquus circulus, maiorem rationem
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habet, quàm circunferentia maximi parallelorum
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intercepta inter maximum circulum primo poſi-
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tum, & </
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rum tranſeuntem, ad circunferentiam obliqui cir-
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culi inter eoſdem circulos interceptam.</
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