Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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drati in ipſo circulo deſcripti.</
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">_IN_ circulo, cuius centrum E, ductæ ſint duæ diametri A C, B D,
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ſeſe ad angulos rectos ſecantes in E, cen-
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tro. </
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_D A,_ quadratum erit A B C D, in circu
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lo inſcriptum, vt conſtat ex propoſ. </
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diametris æqualibus E A, E B, æqualia
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inter ſe, æqualia ſimul ſunt quadrato ex
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A B; </
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metri E A, quadrati ex A B, quod in cir
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culo deſcribitur. </
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quo conſtat, in ſuperiorifigura, quadratum ſemidiametri B E, dimidium
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eſſe quadrati ex C B, quod æquale ponitur ei, quod in circulo A B, in-
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ſcribitur.</
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circunferentiam ducta recta linea æqualis ſit late-
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ri quadrati in ſcripti in maximo circulo, ipſe circu
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lus maximus erit.</
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">IN ſphæra ſit circulus A B, à cuius polo
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C, ad eius circunferentiam recta ducta C A,
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æqualis ſit lateri quadrati in maximo circulo
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ſphæræ deſcripti. </
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ximum. </
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ræ planum ducatur, faciens in ſphæra circulũ
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A C B, qui maximus erit, cum per ſphæræ cen
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trum ducatur. </
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nea C B, ad B, punctũ, in quo circulus maxi-
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mus A C B, circulũ A B, ſecat; </
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nit. </
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<
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ergo A C, ponatur latus quadrati in maximo circulo A C B, deſcripti, erit
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quoque C B, latus eiuſdem quadrati; </
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drantes erunt conſicientes ſemicirculũ A C B, quòd quatuor latera quadra-
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ti æqualia ſubtendãt quatuor circuli arcus æquales. </
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