Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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xml:space
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">IN ſphæra A B C D, circuli A E, B D, ſe mutuo ſecent bifariam in pun-
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ctis E, F. </
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bifariam in E, F, erit ducta recta E F, vtriuſq; </
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<
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xml:space
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circulũ quemcunq; </
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<
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<
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de diuiſa recta E F, bifariã in G, erit G, vtriuſq;
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</
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<
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centrum, atq; </
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<
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ræ centrum duci. </
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<
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<
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">G, dicatur non eſſe
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centrum ſphæræ, ac proinde circulos A C, B D,
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non eſſe per ſphæræ centrum ductos; </
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<
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oſtendemus, G, eſſe centrum ſphæræ, atq; </
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co vtrumq; </
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ci. </
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">Erigatur enim ex G, ad planum circuli A C,
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perpendicularis G H: </
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ris ad planum circuli B D. </
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culi A C, B D, ponuntur non tranſire per centrum ſphæræ, tranſibit vtraq;
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</
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<
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huius.</
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conueniunt, centrum erit ſphæræ, aliàs centrum non exiſteret in vtraque:
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li A C, B D, per centrum ſphæræ traiecti, maximi. </
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ſe mutuo bifariam ſecant, ſunt maximi. </
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tur non eſſe centrum ſphæræ, demonſtratum eſt demonſtratione affirmatiua, _G,_ eſ-
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ſe centrum ſphæræ. </
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<
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piam ad rectos angulos ſecet; </
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cat, & </
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<
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ſecet circulũ B E D, in punctis B, D, ad an-
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gulos rectos, hoc eſt, planũ circuli A B C D,
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rectum ſit ad planum circuli B E D; </
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munis eorum ſectio recta B D. </
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<
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lum A B C D, bifariam, & </
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circulum B E D. </
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<
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culi maximi A B C D, quod & </
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ræ erit, (Nam cum circulus maximus duca-
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<
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tur per centrum ſphæræ, erit eius centrum
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<
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huius.</
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idem, quod ſphæræ.) </
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<
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circuli B E D, perpendicularis F G, quæ in
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<
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