Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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circulus maximus A B C D, circulum B E D, non maximum ad angulos re-
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ctos. </
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<
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xml:space
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xml:space
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">Et quoniam oſtenſum eſt, rectã F G,
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ex G, centro ſphæræ ductam ad planum circuli B E D, eſſe perpendicularẽ,
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cadet F G, vtrinque producta in polos circuli B E D. </
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<
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plano circuli A B C D, exiſtens, producta cadat in circunferentiam eius ad
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puncta A, C, quæ etiam in ſuperficie ſphæræ funt, erunt A, C, poli circuli
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B E D, atque adeo circulus maximus A B C D, circulũ non maximũ B E D,
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per polos A, C, ſecabit. </
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<
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<
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ra maximus circulus circulum non maximum, &</
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ſphæra ſunt, circulorum aliquem per polos ſecet;
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</
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<
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">IN Sphæra maximus circulus A B C D, ſecet circulum B E D, per polos
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A, C. </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/031-01
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los rectos. </
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A, C, occurrens plano circuli B E D, in F,
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puhcto. </
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culi B E D, per pendicularis eſt, tranſitq́; </
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centrum ſphæræ, & </
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trum circuli B E D. </
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ximus A B C D, circulum B E D, ſecans tran
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ſeat per rectam A C, ac proinde per centrũ
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F, erit communis ſectio B F D, diameter cir
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culi B E D. </
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B E D. </
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enim recta A C, oſtenſa ſit perpendicularis
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ad planum circuli B E D, erit quoque planũ
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circuli maximi A B C D, per rectam A C, ductum ad idem planum circuli
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B E D, rectum. </
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dum erat.</
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<
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ximi circuli tranſeat, tranſibit viciſſim hic per polos illius.</
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