Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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quouis alio maximo inſcripti. </
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laris C E, quæ in centrum ipſius cadet, quod ſit E, & </
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polum, qui ſit D, cadet. </
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<
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C D, planum ducatur faciens in ſphæra cir-
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culum A D B C, qui cum per E, centrum
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ſphæræ (Eſt enim E, centrum circuli maxi-
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mi A B, quòd per centrum ſphæræ tranſeat,
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huius.</
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idem, quod ſphæræ) tranſeat, maximus erit,
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atq; </
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<
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">adeo circulum maximum A B, bifariam
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ſecabit. </
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eius polos incedat. </
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">Hinc enim fit, vt ipſum
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bifariam diuidat. </
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diameter B E A. </
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cularis ducta eſt ad circulum A B, erit eadé
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perpendicularis ad rectam A B, ex defin. </
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mutuo ſecãt ad angulos rectos; </
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tum eſt, C B, latus eſt quadrati in circulo maximo A D B C, atq; </
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maximo A B, deſcripti. </
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ducta, &</
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tuor arcus B C, C A, A D, D B, ſuper quos aſcendetunt, æquales, nem pe quadrantes, per-
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ſpicuum eſt, in ſphæra polum maximi citculi abeſſe à circunferentia maximi circuli, qua-
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drante maximi circuli. </
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<
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">Abeſt enim C, polus circuli maximi A B, ab eius circunferentia
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quadrante C B, eademq́; </
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rentia maximi circuli ad eiuſdem polum æqualis eſt lateri quadrati in maximo circulo
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inſcripti, arq; </
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">huius demonſtratur in alia verſione hoc theoremate.</
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<
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cta recta æqualis ſit lateri quadtati in eo deſcripti, circulus ipſe
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maximus eſt.</
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">_IN_ eadem figura ex _C,_ polo ad circunferentiã circuli _A B,_ ductarecta _C B,_ ſit
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equalis lateri quadrati in circulo _A B,_ deſcripti. </
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mum. </
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centrum cadet, quod ſit _E._ </
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Eucl. </
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quadratis ex _B E, C E:_ </
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in circulo _A B,_ deſcripti, vt mox oſtendemus. </
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dem quadrati in circulo _A B,_ deſcripti dimidium erit; </
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_B E, C E,_ inter ſe æqualia, necnon & </
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<
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laris, oſtenſaq̀; </
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<
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huius.</
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