Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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gulus ABC, duobus angulis ABE, EBC, æqualis eſt, appoſito communi an-
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gulo ABD, erunt duo anguli ABC, ABD, tribus angulis DBA, ABE,
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EBC, æquales. </
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<
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rectos EBD, EBC; </
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<
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igitur anguli ABC, ABD, æquales ſunt duobus rectis EBD, EBC. </
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<
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ergo arcus circuli maximi in ſphæra, &</
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duobus rectis angulis ſunt æquales, hoc eſt, qui ab ateu circuli
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maximi arcui alterius cireuli maximi inſiſtente efficiuntur, qua
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les ſunt duo anguli ABC, ABD, ſemicireulum conſtituere. </
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ſi ex polo B, circulus maximus deſeribatur CAD, erunt, ex
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defin. </
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autem eſt, arcus CA, AD, ſemicirculum conſicere; </
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<
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maximi CBD, CAD, ſe mutuo ſecent bifariam in C, D.</
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<
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<
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ra ſe mutuo ſecuerint, angulos ad verticem æqua-
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les inter ſe efficient.</
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<
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in E, vtcunque. </
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les; </
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& </
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enim tam anguli AED, DEB, quàm angu-
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li DEB, BEC, duobus ſunt rectis æquales,
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erunt illi duo his duobus æquales: </
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ergo communi angulo DEB, remanebit
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angulus AED, angulo BEC, æqualis. </
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<
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demque ratione conſirmabimus, angulum
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AEC, angulo BED, æqualem eſſe. </
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<
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ergo arcus circulorum maximorum, &</
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lateribus æqualia habeant, vtrumque vtrique; </
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beant verò & </
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libus arcubus contentũ: </
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bebunt; </
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liqui anguli reliquis angulis æquales erunt, vterq;
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