Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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li B G A, D G A, B G C, D G C, ex definit. </
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<
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A C, cum per centrum circuli A B C D, tranſeat, ſecetq̃; </
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angulos rectos, bifariam eam ſecabit. </
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ſint lateribus A G, G D, contineantq́; </
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baſes A B, A D, ſubtendentes arcus A B, A D, inter ſe æquales, ac proinde
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& </
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<
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æquales eſſe; </
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<
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ſegmenta B A D, B C D, B E D, B F D, bifariam diuidit. </
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ſphæra duo circuli ſe mutuo ſecent, &</
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<
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ſegmenta bifariam ſecans, it per polos eorum, eſtq́; </
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ximus.</
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alius quiſpiã circulus _A F C E,_ ſecet ſegmenta _B A D, B C D, B E D, B F D,_ bifariã. </
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co ciculũ _A F C E,_ ire per polos ipſorũ, eſſeq́; </
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_A B,_ æquales ſunt, nec nõ _C D, C B,_ erũt toti arcus _A D C, A B C,_ æquales, & </
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rea ſemicirculi. </
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bifariam ſecat circulos _A B C D, E D F B,_ atque adeo communes ſectiones _A C, E F,_
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ſe interſecantes in _G,_ ipſorum diametri ſunt. </
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cum tria puncta _
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, G, D,_ in vtroque plano circulorum _A B C D,
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_, ſint, at-
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que adeo in communi ipſorum ſectione; </
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recta erit _
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G D. </
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_A_,
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_C,_
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ſingulæ ſingulis æquales ſunt, ob æquales arcus, anguloſq́; </
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pe rectos in ſemicirculis exiſtentes; </
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AC. </
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ita probari poterit. </
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A, A C,_ æqualia ſunt,
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baſiſq́; </
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C,_ æqualis, erunt anguli _D A C,
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AC,_ æquales. </
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latera _A D, A G,_ lateribus _
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, A G,_ æqualia ſunt, angulosq́; </
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les, vt demonſtratum eſt; </
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,_ ac propterea recti.
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GD,_ ad rectam _A C, E_odem modo oſtendemus rectam
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eandem _
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GD,_ ad _E F,_ perpendicularem eſſe. </
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GD,_ perpendicula-
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ris erit ad planum circuli _A F C E,_ per rectas _A C, E F,_ ductum; </
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vtrumque planum circulorum _
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CD,
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,_ per rectam _
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GD,_ ductum ad
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idem planum circuli _A F C E,_ rectum erit: </
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los _
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CD,
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,_ rectus erit. </
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<
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C D,_
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huius.</
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_E D F
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,_ & </
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ipſorum polos. </
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