Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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quem tangit maximus in principio circulus, & </
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dem parallelus erit.</
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<
s
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xml:space
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">IN ſphæra maximus circulus A B C D, cuius polus E, tangat circulum
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A F, ſecet autem alium huic parallelum G B H D, poſitum inter ſphæræ cen-
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trum, & </
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<
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">circulum A F, ita vt circulus G B H D, maior ſit, quam A F; </
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<
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E, polus circuli maximi A B C D, inter vtrumque circulum A F, G B H D.
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<
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fariam, cum non tranfeat per eius polos, hoc eſt, per polos parallelorum, erit
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ſegmentum B H D, ad po
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lum conſpicuum, qui ſit I,
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maiꝰ ſemicirculo, & </
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minus. </
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<
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lum circuli A B C D, & </
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polũ parallelorũ circulus
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maximus G A C, qui ſeca-
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bit ſegmenta B G D, B H D,
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bifariam: </
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N, æqualiter diſtent ab H;
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quàm N. </
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<
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parallelum G B H D, in
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punctis G, H, M, N, O, cir-
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culi maximiGL, H K, M P,
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N K, O L, qui quidem om-
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nes inclinati erunt ad ma-
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ximum circulum A B C D,
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cum non tranſeant per E,
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polum ipſius. </
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polus ponatur inter parallelos A F, G B H D, non poterunt circuli tangen-
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tes circulum G B H D, per E, tranſire, alias ſecarent ipſum, cum alter po-
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lus, per quem etiam neceſſario tranſeunt, ſit extra dictos parallelos, vt patet.
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1. huius.</
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Dico circulum H K, eſſe rectiſsimum, hoc eſt, minime inclinatum, humilimum
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autem, id eſt, maximè inclinatum eſſe G L; </
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& </
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in vno eodemq́ue parallelo, qui minor ſit, quàm A F. </
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eſt circuli A B C D, erit E A, quadrans maximi circuli; </
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1. huius.</
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arcus H Q; </
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ior ſit quadrante, (quòd E A, quadrans ſit oſtenſus.) </
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1. huius.</
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nor, propterea quòd arcus ex I, polo per H, vſque ad maximum parallelorum
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porrectus ſit quadrans. </
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ſcribatur Q T R, erit is ipſi A F, parallelus, & </
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lelo Q T R, dico eſſe polos omnium circulorum parallelum G B H D, tan-
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gentium. </
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mi M I S, N I T, O I V; </
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28. tertij.</
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vero arcus H I, M I, N I, O I, G I, æquales ſunt, quòd ex definitione poli,
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rectæ illis arcubus ſubtenſæ æquales ſint, eademq́ue ratione & </
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I T, I V, I R, æquales ſunt;</
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