Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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tiore minor eſt. </
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<
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xml:space
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lum ſecans ſit eius diameter, & </
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<
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dem ſint, vt ſupra; </
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<
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rem partem circunferentiæ ſegmenti inſiſtentis,
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minima eſt rectarum ductarum ab illo eodem
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puncto ad primi, & </
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<
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tiam; </
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<
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tiæ ſegmenti inſiſtentis ſubtendit, maxima eſt.</
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<
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<
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inæquales, quarum maior ſit A C B: </
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autem ipſi A B, rectum circuli ſegmentum
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A F B, ſemicirculonó maius, quod in partes in-
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æquales diuidatur in F; </
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</
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<
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pendicularis F L, quæ in A B, communem ſe-
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ctionem cadet: </
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agatur C D; </
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<
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">& </
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<
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xml:space
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">ex F, in circunferentiam A C B,
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maioris ſegmenti circuli A C B D, plurimę
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rectæ cadãt F B, F G, F H, F C, F A, F I, F K.
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</
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<
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rem, quàm F H; </
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<
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ſe F C. </
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<
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ex F, in portioncm A C, cadent; </
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<
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<
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lineæ rectę L G, L H, L I, L K; </
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<
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">eruntq́ue ex defin. </
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<
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guli ad L, quos recta F L, facit, recti. </
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<
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rectarum ex L, cadentium minima, & </
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<
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">L B, minor, quàm L G, L H, L C, L K,
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L I, L A; </
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<
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">erunt quadrata ex F L, L B, minora quadratis ex F L, L G: </
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tem tam quadratum ex F B, quadratis ex F L, L B, quàm quadratum ex F G,
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quadratis ex F L, L G,æquale. </
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drato ex F G; </
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<
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<
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">recta F B, minor erit quàm F G. </
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<
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">Nõ aliter oſtẽdemus,
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rectá F B, minoré eſſe, quàm F H, F C, F K, F I, F A. </
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<
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<
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<
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minora quadratis ex F L, L H: </
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ex F L, L G, quàm quadratum ex F H, quadratis ex F L, L H, æquale. </
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<
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& </
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">quadratum ex F G, quadrato ex F H, minus erit; </
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<
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<
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<
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nor erit, quàm recta F H.</
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<
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<
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<
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drata ex F L, L C, maiora quadratis ex F L, L K: </
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<
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ex F C, quadratis ex F L, L C, quàm quadratum ex Fk, quadratis ex F L, Lk,
<
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<
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æquale. </
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<
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<
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<
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<
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recta F C, maior erit, quàm recta F K. </
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<
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maiorem eſſe, quàm F I, & </
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<
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