Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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parallelorum circulorum in ſphæra auferunt, aut
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per parallelorum polos tranſeunt, aut eundem v-
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num parallelum tangunt.</
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<
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F G, circunferentias ſimiles A D, F G. </
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aut tranſire per polos parallelorum A D C,
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F G, aut vnum eundem parallelum tangere.
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<
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ſit per polos parallelorum, atque ita oſten-
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demus, alterum per eoſdem tranſire, aut nõ
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tranſit quidẽ per polos parallelorũ, ſed alte
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rũ tamen illorũ tangit, atq; </
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<
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bimus, alterum cundem tangere; </
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<
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neque per polos parallelorum incedit, neq; </
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alterum illorum tangit: </
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<
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demus circulos maximos datos aliquẽ aliũ
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parallelum tangere datis parallelis minorẽ. </
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Tranſeat enim primum A B C, per polos pa-
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rallelorum. </
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<
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ſire, hoc eſt, pũctum B, in quo ſe ſecant maximi circuli A B C, D B E, polum
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eſſe parallelorum A D C, F G. </
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<
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">Si namque B, non eſt eorum polus, ſit H, po-
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lus ipſorum. </
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H, in circunferentia A B C. </
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<
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ſecans A D C. </
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">arcus A I, F G, ſimiles, cum intercipiantur in-
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ter maximos circulos A H, H I, per polum H, deſcriptos: </
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& </
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<
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<
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Quod eſt abſurdum. </
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">Non ergo aliud punctum, præter B, polus erit parallelo-
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rum, ſi alter circulorum A B C, D B E, nempe A B C, per illorum polos du
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citur, Quare vterque circulus maximus A B C, D B E, per polum B, paralle
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lorum tranſit, ſi vnusipſorum tranſit.</
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auferant rurſum ex parallelis A D C, B E,
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circunferentias ſimiles A D, B E, & </
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illorum tranſeat per parallelorum polos,
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ſed alter, nempe A B C, vnum eorum, puta
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B E, tangat in B. </
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eundem B E, tangere in E. </
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git, ſed ſecat, deſcribatur per E, punctũ in
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parallelo B E, datũ maximus circulus G E H,
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tangens parallelum B E, in E; </
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circuli, quorum alter ex E, per G, ducitur,
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alter vero ex B, per A, tranſit, non coeun-
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tes, vt conſtat ex figura propoſ. </
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