Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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ro maximo circulo interceptarum inter prædictũ
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punctum, & </
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<
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planum, quod non conuenit cum communi ſe-
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ctione ipſorum circulorum, maior eſt, quam ea
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eiuſdem circuli circunferentia, quæ eſt inter idem
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punctum, & </
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<
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muni ſectione circulorum.</
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<
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">IN ſphæra duo maximi circuli A B C, D B E, ſe mutuo ſecent in B, & </
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A B C, ſumantur arcus B A, B C, æquales, & </
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">per A, C, puncta duo plana pa-
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rallela inter ſe ducantur facientia in ſuperficie ſphæræ circunferentias circu
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lorum A F G, C H I, quæ ſecent circunferentiam D B E, in punctis F, H; </
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verò arcus B A, vel B C, maior vtralibet circunferentiarum B F, B H, inter
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punctum B, & </
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lo B A, vel B C, circulus deſcribatur A D C E, qui puncta F, H, tranſcen-
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det, propterea quòd arcus B F, B H, minores ponuntur arcubus B A, B C.
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</
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<
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">Producantur arcus B F, B H, vſque ad circunferentiam circuli A D C E,
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ad puncta D, E; </
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A F G, C H I, rectæ A G, C I; </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/082-01
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ximorum, & </
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D E; </
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eiuſdem centrum K, cum circuli maximi ip-
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ſum per B, polum bifariam ſecent: </
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tem recta D E, rectas A G, C I, in M, N.
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nis ſectio K B, recta, cum qua producta ad par
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tes B, conueniat planum A F G, productum
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extra ſphæram in puncto L. </
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conueniet alterum planum C H I, cum re-
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cta K B, ad partes B, necum ſibi parallelo
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plano A F G, conueniat. </
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maiorem eſſe arcu B F. </
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H N, communes ſectiones circuli D B E, & </
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circulorum A F G, C H I. </
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num A F C, conuenit productum cum recta
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K B, producta in L, erit L, punctum tam in
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plano D B E, quàm in plano A F G; </
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adeo in cõmuni eorum ſectione, nempe in recta M F. </
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bit cum K B, producta in L. </
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rallela A F G, C H I, erunt ſectiones factæ M F, N H, parallelæ. </
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planum A D C E, eadem plana parallela ſecat, erunt quoque ſectiones factæ
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A G, C I, parallelæ. </
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