Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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xml:space
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lares ex ar-
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cubus qua-
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drãtis ęqua
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libus ad al-
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terutrá ſe-
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midiame -
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trorum, vel
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ad rectam
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ſemidiame
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tro paral -
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lelam du-
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ctę auferũt
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fegm enta
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inæqualia,
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maiufq́ eſt
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illud, qd al
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teri femi-
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diametro
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{pro}pinquius
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eſt.</
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libus, ſi ab eorum terminis ad alterutram ſemidia-
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metrorum, vel ad rectam ſemidiametro paralle-
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lam, perpendiculares ducantur; </
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<
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ſemidiametri, velillius parallelæ interillas perpen-
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diculares intercepta, inæqualia, maiusq́ erit illud,
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quod alteri ſemidiametro propinquius elt.</
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<
s
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minis ad ſemidiametrum AC, vel ad rectam RS, ipſi AC, parallelam per-
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pendiculares ducantur DKG, ELH, FMI. </
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">Dico ſegmenta GH, HI, vel
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KL, LM, inæqualia eſſe, maiusq́ue eſſe GH,
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quàm HI, vel KL, maius, quàm LM. </
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<
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pleto enim ſemicirculo BCN, producantur
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rectæ DG, EH, FI, vſque ad O, P, Q. </
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ctis quoque rectis ET, FV, ad DO, EP, per-
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pendicularibus, iungantur rectæ EO, FP.
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</
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<
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erunt anguli quoque DOE, EPF, illis inſi-
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ſtentes, æquales: </
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T, V, æquales. </
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<
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guli EOT, tribus angulis trianguli FPV,
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ſint æquales; </
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<
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rectis ſint æquales; </
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<
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TEO, reliquo angulo VFP, æqualis: </
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<
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propterea æquiangula erũt triãgula EOT,
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FPV. </
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EV: </
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PF; </
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<
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">quod illa centro propinquior ſit, quàm
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hęc. </
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cta FV. </
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<
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ſegmentis GH, KL, ob parallelogramma
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TH, TL; </
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">recta FV, ſegmentis HI, LM,
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ob parallelogramma VI, VM; </
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to HI, & </
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<
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arcubus æqualibus, &</
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<
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Z, & </
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<
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">rectam EH, in a, producaturq́ue recta FV, vſque ad b. </
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<
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tur arcus DF, ſectus eſt biſariam in E, ſecta quoque erit recta DF, biſariam
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in Z, ex lemmate in definitionibus poſito, ac proinde Da, maior erit </
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