Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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ſegmento AGB; </
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<
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niam latera DB, BA, trianguli DBA, lateribus FB, BA, trianguli FBA,
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æqualia ſunt, angulosq́ue continent æquales; </
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<
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">erunt baſes AD, AF, inter ſe
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æquales. </
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AE; </
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<
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">ac propterea anguli AEF, AFE, æqua
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les inter ſe erunt: </
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rum. </
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EAF, tertia pars erit duorum rectorum. </
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rum erit, ex coroll. </
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rum BD, BE, chordæ AE, vel AD, æqualis erit. </
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rum duorum arcuum ſemicirculi, &</
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dę duorum
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arcuũ cõſi-
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ciẽtiũ gra.
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120. ſimul
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ęquales sũt
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chordęarcꝰ
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cõpoſiti ex
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arcu grad.
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120. & arcu
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minore il-
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lorum duo
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rum.</
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iungantur, effici chordam arcus compoſiti ex arcu grad. </
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rum, ſi in æquales ſint. </
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grad. </
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EF, inter choidas BD, BE, æqualis eſt chordæ AD.</
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ſuꝑ & quã-
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titaté ſemiſ
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ſis ſemiſs ẽ
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ſuperabit
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exceſſus ſe
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miſſe.</
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lius ſemiſsem huius ſuperabit exceſſus ſemiſſe.</
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E, & </
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tur AF. </
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EB, toti exceſſui DB, æ-
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quales ſunt, erit reliqua
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FE, ipſi C, æqualis. </
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tur FE, bifaria in G. </
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ergo GE, GF, æquales
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sũt; </
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<
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FA, æquales quoque erũt
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GB, GA; </
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in G, ſecta erit bifariã. </
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miſsis igitur BG, ipſius
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AB, ſuperat GE, ſemiſſem
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ipſius FE, hoc eſt, ipſius C, exceſſu EB, qui ſem iſsis eſt exceſſus DB. </
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<
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titas ergo quantitatem excedat, &</
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