Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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centro B, conſtituentes inter cipere arcum quadrante AC, minorem, li-
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neas vero rectas continẽtes angulum obtuſum abſcindere arcum quadran
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te AC, maiorem.</
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<
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àrantem AC. </
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<
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xml:space
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<
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xml:space
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eſt, vt arcus AC, ad totam circunferentiam, ita angulus ABC, in cen-
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33. ſexti.</
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tro ad quatuor rectos; </
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<
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xml:space
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circunferentiæ totius: </
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<
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<
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rectorum, atq; </
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<
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<
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arcum quadrante AC, minorem auferentes angulum conſtituunt mino-
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rem angulo recto ABC, auferentes vero arcum quadrantc AC, maio-
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rem conſtituunt angulum recto angulo ABC, maiorem; </
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<
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rectas lineas arcum quadrante AC, minorem intercipientes conſtituere
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in centro B, angulum acutum, lineas vero rectas arcum quadrante AC,
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maiorem includentes continere in centro B, angulum obtuſum. </
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propoſitum.</
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ABC, et ex B, circulus deſcribatur ACDE.
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Productis enim rectis AB, CB, ad D, E,
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erunt & </
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gulo ABC, deinceps, recti, ex definitione; </
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necnõ & </
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">angulus DBE, quòd angulo ABC,
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ſit ad verticem æqualis, rectus. </
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omnes quatuor anguli ad B, centrum ſint re-
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cti, id eſt, æquales, æquales quoq; </
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tuor arcus AC, CD, DE, EA; </
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quilibet eorum quadrans erit. </
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<
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drantem AC. </
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rectis AB, CB, ad D, E, cum angulus DBE, angulo ABC, ad verti-
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cem ſit æqualis, erit & </
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<
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drans. </
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adeo reliqui duo arcus AE, DC, alterum ſemicir culum conſtituent. </
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ergo duo arcus AE, DC, æquales ſint, quòd anguli ABE, CBD, ad
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verticem ſint æquales; </
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tuor arcus AC, CD, DE, EA, cum ſint quadrantes, æquales erunt.
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</
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<
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quilibet erit rectus. </
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