Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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& </
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<
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xml:space
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">arcum N B, vltra arcum D B, ideoque & </
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<
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arcum D B: </
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<
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">propterea quòd maximi circuli Z Y D, M Y, ſe mutuo ſe-
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cant in Y, polo, & </
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<
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<
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lus maximus M Y, ductus per Y, polum paralleli A C, & </
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<
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M, tranſit etiam per polum circulitangentis N M; </
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<
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circulorum X V, & </
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<
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<
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">Quare bifariam ſe-
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cabit ipſorum ſegmenta. </
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<
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xml:space
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">Cum ergo vltra punctum V, ſecet ſegmentum ab
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X, per V, vſque ad aliud punctum, vbi ſe mutuo ſecãt circuli X V, N M,
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vt proxime eſt ostenſum; </
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<
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xml:space
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">erit X V, arcus minor ſemiſſe ſegmentiab X, per
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V, vſque ad alteram ſectionem; </
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<
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ſegmenti erit T X. </
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<
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">PROPOSITIS duabus magnitudinibus inæqualibus, repe-
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rire aliam mediam, quæ datæ cuicunque magnitudini commen-
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ſurabilis ſit.</
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alia quæcunque D G: </
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">oporteat{q́ue} inuenire aliam mediam, boc eſt, quæ
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maior quidem ſit, quàm A C, minor vero, quàm A B, & </
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menſurabilis. </
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093-01
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dines A B, A C; </
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<
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D G, proxime maior quàm A C. </
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ſito, erit E, minor, quàm A B. </
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<
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æqualis eſſet, ſi detraheretur ex E, vna
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magnitudo ipſi D G, æqualis (quę quidem
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minor ponitur, quàm B C,) maneret adhuc
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reliqua multiplex ipſius D G, maior quàm
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A C. </
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<
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magis neque maior erit. </
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ior quoque ſit quà A C, & </
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tiplex ſit, conſtat propoſitum.</
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<
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<
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tur D G, bifariam, & </
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nec relinquatur pars D F, minor quàm B C; </
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<
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<
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proximè maior, quàm A C; </
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<
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adeo & </
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<
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<
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ſurabilis eſt. </
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<
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minor, quam A B. </
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<
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<
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commenſurabilis; </
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<
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