Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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xml:space
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">SI in ſphæra duo circuli ſe mutuo ſecent, maximus circulus ſe-
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cans bifariam duo illorum ſegmenta quæcumque, habens tamen
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arcum inter illa ſegmenta poſitum ſemicirculo inæqualem; </
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<
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per polos ipſorum, duoq́; </
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<
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">reliqua ſegmenta bifariam ſecat.</
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">_IN_ ſphæra duo circuli _
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CD,
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FD,_ ſe mutuo ſecent in punctis _
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, D:_ </
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maximus circulus _A F C E,_ ſecet
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duo quæcumque illorum ſegmẽta,
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nempe, _
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AD,
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ED,_ bifariam
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in punctis _A, E,_ & </
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<
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">arcus _A F C E,_
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interceptus inter dicta ſegmenta
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non ſit ſemicirculus. </
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lum _A F C E,_ tranſire per polos
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circulorum _
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CD,
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FD,_
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ſecareé; </
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<
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CD,_
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_
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FD,_ bifariam. </
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_A F C E,_ non tranſeat per ipſorũ
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polos, deſcribatur, ſi fieri poteſt,
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alius circulus maximus _A G E,_ per
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eorum polos, qui ſegmenta ipſo-
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rum bifariam ſecabit; </
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">atque adeo per puncta _A, E,_ tranſibit. </
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culi maximi _A F C E, A G E,_ in _A, E,_ bifariam: </
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_AFCE._ </
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culorum _A B C D,
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FD._ </
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eſt propoſitum.</
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rum polos deſcribantur maximi circuli; </
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lorum quidem circunferentiæ inter maximos cir-
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culos interceptæ, ſimiles ſunt; </
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circulorum circunferentiæ inter parallelos circu-
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los interceptæ, ſuntæ quales.</
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<
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">SINT in ſphæra circuli paralleli A B C D, E F G H, quorũ polus I:</
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enim paralleli circuli in ſphæra circa eoſdem polos.) </
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mi deſcribantur vtcumque A E I G C, B F I H D. </
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lelorum A B, E F, ſimiles, nec non B C, F G; </
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