Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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ta L F M, O I P, ęqualia eſſe. </
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enim Q, & </
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<
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<
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xlink:label
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xml:space
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/064-01
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deſcribatur QBRD; </
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<
s
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lum R, tranſibit ex coroll. </
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<
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poſ. </
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<
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ctum D, cum vtrumque circulum G B H D,
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<
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">11. 1. huius.</
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A B C D, bifariam diuidat; </
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<
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tem hi ſecentur bifariam in B, D. </
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<
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quo fit, circulum Q B R D, paralle-
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lum E F, ſecare ſupra circulum A B C D,
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at parallelum I K, infra eundem; </
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<
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ctis S, T; </
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">& </
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Q B R D, parallelos E F, I K, bifariam ſe-
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cat, erunt S F T, V K X, ſemicirculi; </
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propterea arcus L F M, ſemicirculo maior, & </
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</
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">Dico alterna ſegmenta L F M, O I P,
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ęqualia inter ſe eſſe; </
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">Nam per polos
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parallelorũ, & </
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<
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">polos circuli A B C D, deſcribatur circulus maximus A G C H,
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qui diuidet ſegmenta L A M, O C P, bifariam. </
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A M, inter ſe, & </
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tranſit per polos maximorum circulorum G H, A C; </
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huius.</
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per illius polos. </
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">Puncta igitur B, D, poli ſunt circuli AGCH; </
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rea rectę B A, B C, æquales erunt, ex defin. </
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">arcus ipſi B A
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B C, æquales erunt: </
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æquales ponuntur paralleli E F, I K. </
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les erunt: </
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<
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">Sunt autem arcus A L, C O, dimidij arcuum E A M, O C P; </
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pterea quòd A L, ipſi A M, & </
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<
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ſunt quoque arcus L A M, O C P, ae proinde & </
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<
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æquales erunt. </
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<
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">Quare ex circulis ęqualibus E F, I K, auferent æquales arcus,
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<
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maiorem quidem L F M, maiori O I P, & </
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(hoc eſt alternum ſegmentum alterno ſegmento) ęqualem. </
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<
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ſitum. </
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<
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">Itaque ſi in ſphęra maximus circulus parallelos aliquot circulos in
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ſphęrica ſuperficie deſcriptos ſecet quidem, &</
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<
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<
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<
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quot circulos ſecet, non tamen per polos; </
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<
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lelorum aſſumptis cirtumferentijs in vno hemi-
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ſphærio, illæ quæ propius accedunt ad polũ con-
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ſpicuum, erunt maiores, quàm vt ſimiles eſſe poſ-
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ſint illis, quæ ab eodem conſpicuo polo longius
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abſunt.</
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