Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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dum. </
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rectos angulos non excitantur. </
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non ſecet, &</
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ximi ſunt, qui per ſphærę centrum ducuntui: </
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rum autem illi inter ſe æquales ſunt, qui æqualiter
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à centro diſtát: </
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<
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minores ſunt. </
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ſphæræ centrum tranſeunt: </
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les à centro æqualiter diſtant: </
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gius à centro diſtant.</
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<
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centrum G, & </
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nium maximum, &</
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Coroll. 1.
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huius.</
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perpendiculares G H, G I, quæ in ipſorum centra cadent; </
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tra ſint circulorum B C, F E: </
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huius.</
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culi A D, per centrum ſphæræ tra-
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iecti. </
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ficiem ſphæræ rectæ ducantur G D,
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H C, I E, erũt hæ ſemidiametri cir
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culorum A D, B C, F E. </
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ctantur autem rectæ G C, G E. </
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niam igitur in triangulo G H C, an
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gulus H, rectus eſt, ex defin. </
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Eucl. </
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le quadratis ex G H, H C. </
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ergo quadrato rectæ G H, maius e-
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rit quadratum ex G C, quadrato ex
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H C; </
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eſt, ſibi æqualis G D, (ducuntur em̃
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G C, G D, ex centro ſphæræ ad ſu-
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perficiem) maior erit, quàm recta
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H C. </
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habens ſemidiametrum, quàm circulus B C, maior erit circulo B C. </
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cus oſtendemus, circulum A D, quocunque alio, qui per centrum G, non
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tranſeat, maiorem eſſe. </
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">DISTENT iam circuli B C, F E, à centro G, æqualiter, hoc eſt, per-
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pendiculares G H, G I, æquales ſint, ex deſin. </
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B C, F E, æquales eſſe. </
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