Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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ab eo puncto ad circunferentiam circuli cuiuſpiam in ſphæra dati
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cadant plures, quàm duæ rectæ lineę æquales, acceptum punctum
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polus eſt ipſius circuli.</
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<
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">_IN_ ſuperficie ſphæræ _A B C,_ acceptum ſit punctum _A,_ a quo ad circunferentiã
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circuli _B C,_ cadant plures, quàm duæ, rectæ linæ æquales _A D, A E, A F._ </
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_A,_ polum eſſe circuli _B C._ </
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<
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_A,_ in planum circuli _B C,_ perpendicularis
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_A G,_ iungãturq́; </
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<
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">rectæ _D G, E G, F G,_ eruntq́;
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G, recti. </
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">Quare tam quadratum ex _A D,_ qua-
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dratis ex _A G, G D,_ quàm quadratum ex _A E,_
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quadratis ex _A G, G E,_ & </
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quadratis ex _A G, G F,_ æquale erit. </
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go quadrata rectarum æqualiũ _A D, A E, A F._
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ſimul quadratis ex _A G, G E,_ ſimul, nec non
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quadratis ex _A G, G F,_ ſimul æqualia; </
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ptoq́; </
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erunt reliqua quadrata linearum _G D, G E,_
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_G F,_ at que adeo & </
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circuli _BC;_ </
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">ac proinde recta _G A,_ quæ ex centro _G,_ ad circulum _B C,_ perpendi-
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cularis eſt ducta, in polum circuli _B C,_ cadet. </
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ius.</
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B C. </
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<
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tias ductæ ſunt æquales, inter ſe ęquales ſunt. </
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lium ęquales ſunt rectę ab eorum polis ad circunferentias ductæ.</
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">_IN_ ſphæra _A B C D E F,_ cuius centrum _G,_ ſint duo circuli _B F, C E,_ a quorum
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polis _A, D,_ rectæ _A F, D E,_ ad eorum circunfe
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rentias ductæ ſint æquales. </
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_C E,_ æquales eſſe. </
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plana circulorum perpendiculares _A H, D I,_ quæ
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cadent in eorum centra _H, I,_ & </
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in reliquos polos; </
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ſphæræ. </
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_E G,_ & </
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">ſemidiametris circulorũ _F H, E I,_ cum
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latera _A G, G F,_ lateribus _D G, G E,_ ſint æqua
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lia, & </
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_D G E,_ æquales. </
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defin. </
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_F G H, E G I,_ duos angulos duobus angulis æ-
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quales habent: </
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<
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