Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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Ex polo igitur E, & </
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culum maximum A B, tangere quoque circulum B F, in B, & </
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æqualem eſſe, ac parallelum circulo A C. </
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los circulorũ A C, B F, tranſiens perpendicularis eſt ad ipſos circulos, erunt
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circuli A C, B F, paralleli. </
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<
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culi maximi in ſphęra bifariam ſe ſecant, ſe-
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micirculus erit A C B; </
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culo D C E, æqualis. </
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ni arcu B D, æquales remanebũt arcus D A,
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E B; </
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E, ad circunferentias circulorum A C, B F,
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ductæ æquales. </
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1. huius.</
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A C, B F. </
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eodem puncto B, ſecant maximum circulũ
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A E B, in quo quidem polos habent, ſe
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mutuo tangent in B, circuli A B, B F. </
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re circulus maximus A B, tangens in ſphæra
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circulum A C, tangit quoque alterum circulum B F, ipſi A C, æqualem, & </
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parallelũ. </
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ſum enim eſt, A C B, eſſe ſemicirculum, ac propterea rectam ex A, ad B, ductam eſſe dia-
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metrum ſphæræ, ſen circuli maximi A C B, &</
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culi, maximus circulus, qui eorum alterum tetige
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rit, reliquum quoque tanget.</
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mus A B, tangat A C. </
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non tangat ipſum B F, tanget vtique alterum ipſi A C, æqualem, & </
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lum. </
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circuli in ſphæra, nempe A C, B F, & </
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æquales, & </
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huius.</
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ſunt, & </
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B F. </
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erat oſtendendum.</
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lus tangit, æquales inter ſe ſunt.</
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