Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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erit & </
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">arcus G Q, omnium ex G, cadentium minimus, hoc eſt, minor, quàm
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huius.</
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G H: </
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<
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">quod arcus G Q, G H, minores ſint ſemicirculo, cum ſe non inter-
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ſecent, antequàm parallelo N O, occurrant. </
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<
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G H, vtroque G P, G Q, maior eſt. </
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ſphæræ ducta, id eſt, communis ſectio circulorum maximorum A P, E C, ſe-
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cant paralleli I K, planum intra ſphæram; </
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<
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ſphæræ perueniet, hoc eſt, ad centrum maximi circuli B D, niſi prius planum
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circuli I K, ſecet; </
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<
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">quòd parallelus I K, poſitus ſit inter maximum parallelo-
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rum, & </
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<
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">ſecabit eadem recta planum paralleli N O, extra ſphæ-
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ram, ſirecta illa, & </
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<
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quòd punctum G, poſitum eſt inter maximum parallelorum, & </
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N O. </
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">Quoniam igitur duo circuli maximi A P, E C, ſe mutuo ſecant in G,
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puncto, & </
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<
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">à circulo E C, vtrinque à puncto G, duo arcus æquales ſumpti
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ſunt G F, G H, & </
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">per F, H, plana parallela circulorum I K, N O, ducta,
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quorum N O, occurrit commnni ſectioni circulorum maximorum A P,
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E C, extra ſphæram, vt oſtenſum eſt, eſtq́ue vterque arcuum G F, G H, ma-
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ior vtroque arcuum G P, G Q, erit arcus G P, maior arcu G Q. </
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tem arcus G P, arcui I L, & </
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I L, arcu L N, maior erit. </
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lus, &</
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parallelorum, huncq́; </
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<
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">maximum circulum ad an-
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gulos rectos ſecentduo alij circuli maximi, quo-
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rum alter ſit vnus parallelorũ, alter verò obliquus
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ſit ad parallelos; </
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lo æquales circunferentiæ deinceps ad eaſdem par
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tes maximi illius paralleli, & </
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tia æquales circũferentias, perq́; </
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tur maximi circuli: </
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intercipient de maximo parallelorum, quarum
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propior maximo circulo primo poſito ſemper erit
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remotiore maior.</
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">IN circunferentia maximi circuli A B C D, ſit A, polus parallelorum,
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eumq́ue ſecent duo maximi circuli B D, E C, adangulos rectos, quorum B D,
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ſit parallelorum maximus, at E C, ad parallelos obliquus, ex quo </
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