Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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culum B N D, inclinatiorem eſſe ad circulum A B C D, quàm F O H,
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ad E F G H. </
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<
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culi maximi A N C, E O G; </
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<
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B N D, recta B D; </
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<
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rum B N D, A N C, recta N I: </
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">quæ omnes rectæ per centrum ſphæræ I, tran-
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ſibunt, cum circuli maximi per idem centrum ſphæræ ducantur. </
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dine ſint in alia ſphæra communes ſectiones circulorum, vt recta F H, circu-
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lorum E F G H, F O H; </
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cta O K, circulorum F O H, E O G: </
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ſphæræ K, tranſibunt. </
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A B C D, B N D, tranſiens, eos ſecat ad angulos rectos; </
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circulus A B C D, B N D, ad circulum A N C, rectus, atque adeo & </
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communis eorum ſectio, ad eundem circulum A N C, perpendicularis erit.
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Quare anguli A I D, N I D, recti erunt, ex defin. </
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inde A I N, angulus
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erit inclinationis cir-
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culi B N D, ad circu-
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lum A B C D, ex de-
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fin. </
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dem modo erit E K O,
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angulus inclinationis
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circuli F O H, ad cir-
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circulũ E F G H. </
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niam vero P, polus cir
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culi B N D, ſublimior
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ponitur ſupra circu-
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lum A B C D, quàm
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polus Q, circuli F O H,
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ſupra circulum E F G H, erit maior arcus C P, arcu G Q. </
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cum ſint perpendiculares ad circulos A B C D, E F G H, altitudines polo-
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rum P, Q, ſupra ipſos circulos metiuntur. </
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æquales, cum ſint quadrantes. </
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F O H, per quadrantem abſunt. </
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huius.</
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rea A N, reliquus ex ſemicirculo A N C, minor erit reliquo E O, ex ſemicir
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culo E O G. </
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tertij.</
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magis inclinatus erit circulus B N D, ad circulum A B C D, quam circulus
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F O H, ad circulum E F G H, vt in explicatione definitionis 7. </
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<
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ſtent à planis circulorum A B C D, E F G H. </
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æqualiter inclinari ad circulos A B C D, E F G H. </
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G Q, æquales ſunt, ſi addantur quadrantes P N, Q O, erunt & </
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G O, æquales; </
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les erunt, Anguli igitur A I N, E K O, æquales erunt, ac propterea, ex defin.
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7. </
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ad circulos A B C D, E F G H. </
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ad maximos circulos, &</
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