Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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lorum maximorum I M, M O, diameter vtriuſque, cum ſe mutuo ſecent bifa-
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riam) ad angulos rectos, & </
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<
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">diuiduntur non bifariam in I, quod I, polus paral-
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lelorum non ſit polus tangentium; </
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<
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">ponunturque arcus M O, N P, æquales;
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</
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<
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">erunt ductæ rectæ I O, I B, æquales. </
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<
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xml:space
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">Si igitur ex I, polo parallelus deſcriba-
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">12. 1. huius.</
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tur O K, ad interuallum I O, tranſibit is quoque per P. </
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<
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maximus I M, tranſiens per polos circulorum M O, O Q, ſe ſecantium in
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O, Q, ſecat eorum ſegmenta bifariam, æquales erunt arcus M O, M Q, & </
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S O, S Q; </
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<
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T R; </
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<
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">nec non K O, K P, & </
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tranſiens per polos circulorum O K P, O C P, ſecat eorum ſegmenta bifa-
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riam in K, & </
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O M Q, P N R, quorum
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ipſi dimidij ſunt, æqua-
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les; </
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ſubtenſę O Q, P R, æqua
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les erunt. </
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O S Q, P T R, ęquales
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erunt; </
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<
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rum dimidij O S, P T, æ-
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quales erunt. </
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<
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& </
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<
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">toti K O, K P, oſtenſi
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ęquales. </
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K T, æquales erunt; </
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adeo, cum ſint vnius eiuſ-
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demq́ue circuli, ſimiles in
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ter ſe erunt. </
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cubus K S, K T, ſimiles
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ſunt arcus H M, H N; </
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quoq;</
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H N. </
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mentum B H D, bifariam
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ſeceturin H, fintque equales arcus H M, H N; </
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<
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ter inclinati ad circulum A B C D. </
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contactibus, &</
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