Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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_ergo_ H I, K L, _ponantur æquales, minor erit_ O I, _quàm_ K P. </
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<
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_tinui, non poterit_ O I, _minor eſſe, quam_ K P, _vt in ſecunda figura demonſtratum_
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_eſt. </
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_igitur eſt. </
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<
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head
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<
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">SI in ſphæra maximus circulus tangat aliquem ſphæræ circu-
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lum, alius autem maximus circulus ad parallelos obliquus ſit, tan-
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gatque circulos maiores illis, quos tangit maximus circulus primò
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poſitus, fuerintque eorum contactus in maximo circulo primo poſi-
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to; </
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">& </
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">ſumantur à circulo obliquo circun ferentiæ æquales, quæ con-
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tinuæ quidem non ſint, ſed tamen ſintad eaſdem partes maximi pa-
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rallelorum; </
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deſcribantur paralleli circuli: </
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pient de maximo circulo primò poſito, quarum ea, quæ propior erit
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maximo parallelorum, maior erit remotiore.</
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_dens Theorema ex propoſ. </
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_præcedentis Theorematis tangant duos parallelos, vt in propoſ. </
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_eſt. </
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_fert, &</
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<
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<
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<
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xml:space
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">SI in ſphæra maximus circulus aliquem ſphæræ circulum tan-
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gat, aliquis autem alius maximus circulus obliquus ad parallelos tan-
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gat circulos maiores illis, quos tangebat maximus circulus primo
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poſitus, fuerintque eorum contactus in maximo circulo primo poſi-
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to; </
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">ſumantur autem de obliquo circulo æquales circunferentiæ, quæ
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continuæ quidem non ſint, ſed tamen ſint ad eaſdem partes maximi
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parallelorum, per que puncta terminantia æquales circunferentias
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deſcribantur maximi circuli, qui & </
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tangebat maximus circulus primo poſitus, & </
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circunferentias intercipiant, habeantque eos ſemicirculos, qui ten-
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dunt à punctis contactuum ad puncta terminantia æquales obliqui
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circuli circunferentias, per quæ deſcribuntur, eiuſmodi, vt minimè
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cõueniant cum illo circuli maximi primò poſiti ſemicirculo, in quo
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eſt contactus obliqui circuli inter apparentem polum, & </
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parallelorum: </
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parallelorum, quarum propior circulo maximo primò poſito, ſem-
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per erit maior remotiore.</
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