Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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ſunganturq́ue rectæ A D, C E. </
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xml:space
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B, & </
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<
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">interuallo B A, circulus deſcribatur, qui etiam per C, tranſibit, ob æqua
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litatem arcuum B A, B C. </
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<
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">Aut igitur idem circulus tranſit etiam per C, atque
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adeo & </
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<
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tatem arcuum B D, B E,
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aut non. </
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<
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per D, & </
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<
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figura; </
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<
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ſectiones circulorum ma-
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ximorũ, & </
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<
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rectæ A C, D E. </
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<
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niã circuli maximi A B C,
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D B E, per B, polum cir-
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culi A D C E, tranſeun-
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tes ſecant ipſum bifariã,
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erunt A C, D E, diametri circuli A D C E, & </
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F A, F D, rectis F C, F E, æquales. </
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hendant ad verticem F; </
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<
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per D, ſed vltra punctum D, atque adeò & </
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cantur arcus B D, B E, ad G, H. </
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ſunt, quòd ex defin. </
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& </
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quoniam rectæ ductæ A G, C H, æquales ſunt, vt proxime demonſtratum eſt
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in prima parte huius propoſ. </
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circulus maximus G B H, per polum B, ductus ſecat circulum A G C H, bifa-
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riam, & </
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AGCH. </
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G D H; </
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E C, inter ſe æquales. </
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<
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&</
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<
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cent, ab eorumque altero æquales circunferen-
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tiæ ſumantur vtrinque à puncto, in quo ſeinterſe-
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cant, & </
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<
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rentias ducantur duo plana parallela, quorum alte
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rum conueniat cum communi ſectione ipſorum
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circulorum extra ſphæram verſus prædictum pun
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ctum; </
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tiarum maior vtralibet circunferentiarum in </
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