Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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<
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ximum parallelorum æquales circunferentiæ ma-
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ximorum circulorum intercipiuntur, ſuntinter ſe
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æquales: </
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<
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<
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lorum maiores maximorum circulorum circun-
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ferentiæ intercipiuntur, ſunt minores.</
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<
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xml:space
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<
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parallelorum. </
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<
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<
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<
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intercipiantur æquales circunferentiæ A C, C E, maximi alicuius circuli
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ACEFDB. </
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lès eſſe. </
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<
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lelorum, & </
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<
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C D, E F, quæ parallelæ inter ſe erunt. </
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<
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xml:space
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ſeat autem primum circulus maximus ACE-
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F D B, per polos parallelorum. </
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<
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fecabit circulus A C E F D B, parallelos A B,
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C D, E F, bifariam, & </
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<
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</
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atq; </
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rallelorum. </
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<
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xml:space
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">Quoniam vero arcus A C, B D,
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æquales ſunt, nec non & </
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<
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">arcus C E, D F; </
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niturque A C, æqualis ipſi C E; </
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<
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B D, ſimul ipſis C E, D F, ſimul æquales:
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</
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<
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C E F D: </
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<
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">quia circuli maximi C D, A C E F D B, ſe mutuo bifariam diuidunt. </
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Igitur reliqui arcus A B, E F, æquales erunt; </
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hoc eſt, diametri circulorum A B, E F, æquales. </
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æquales ſunt.</
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<
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norem eſſe circulo E F. </
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erunt vt prius, arcus A C, B D, æquales, nec non C E, D F, cum ergo A C, ma
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ior ponatur quam C E, erunt duo arcus A C, B D, ſimul, maiores duobus ar-
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cubus C E, D F, ſimul. </
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<
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">Reliquus igitur A B, ex ſemicirculo C A B D, minor
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erit reliquo E F, ex ſemicirculo CEFD; </
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<
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<
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">recta A B, hoc eſt,
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diameter circuli A B, minor erit, quàm recta E F, hoc eſt, quàm diameter cir-
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culi E F, vt in ſcholio propoſ. </
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<
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arcus A B, E F, ſemicirculo ſint minores. </
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<
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culo E F. </
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<
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<
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<
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lelorum A B, C D, E F; </
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<
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<
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circulos A B, E F, eſſe æquales. </
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<
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E F, & </
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<
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