Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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B D, communem ſectionem cadet. </
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Coroll. 1.
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huius.</
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eadem cadit quoq; </
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<
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">in centrum circuli B E D, erit G, centrum circuli B E D;
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atq; </
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">adeo B D, per G, ducta, diameter eiuſ-
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dem: </
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<
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">quæ cum diuidat eirculum B E D, bi-
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fariam, diuidet quoq; </
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<
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culus maximus A B C D, per rectam B D,
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ductus. </
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<
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li A B C D, cadet ea producta in circum-
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ferentiam ad A, C, puncta, quæ in ſuperfi-
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cie ſphæræ ſunt: </
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polum circuli B E D, quòd ex F, centro
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ſphæræ ad circuli planum perpendicularis
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ſit ducta. </
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ac proinde circulus maximus A B C D, per
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polos circuli B E D, tranſit. </
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dum. </
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oſtendendum erat.</
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etiam eſt, quando circulus _B D,_ maximus eſt, & </
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enim eſt ferè ſemper demonſtratio, vtperſpicuum eſt.</
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maximum bifariam ſecet; </
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ſecat, & </
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<
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">IN ſphęra maximus circulus A B C D, non maximum B E D, ſecet bifa-
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riam in punctis B, D, ſitq́; </
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ſectio recta B D. </
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ſecare circulum B E D, ad angulos rectos,
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& </
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fariam ſecatur in B, D, hoc eſt, in ſemicircu
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los, erit B D, communis ſectio diameter eius.
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<
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trum circuli B E D. </
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tro ſphæræ, quod & </
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culi A B C D, ducatur ex G, ad F, recta F G,
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quæ perpendicularis erit ad planum circuli
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B E D. </
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A B C D, per rectã F G, ductum ad idẽ planũ circuli B E D, rectũ erit. </
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