Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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xml:space
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">IN eadem adhuc figura ſint duo circuli paralleli _A C, B F,_ quos circulus maxis
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mus _A B,_ tangat in _A, B._ </
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<
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<
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enim paralleli ponuntur circuli _A C, B F,_ ipſi circa eoſdem polos erunt, qui ſint _D,_
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_E;_ </
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<
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">polos circuli _A B,_ circulus maximus deſcribatur _A F B,_ qui per con
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tactus _A, B,_ tranſibit. </
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<
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fariam, ſemicirculus erit _A D B,_ atque adeo ſemicirculo _D B E,_ æqualis. </
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<
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ergo arcu communi _D B,_ æquales remanebunt arcus _D A, E B;_ </
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_D A, E B,_ ex polis _D, E,_ ad circunferentias circulorum _A C, B F,_ ductæ æquales.
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Schol. 21. 1.
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huius.</
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Quare circuli _A C, B F,_ æquales erunt. </
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ræ circulum obliquus ſit, tanget is duos circulos
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æqualcs quidem inter ſe, parallelos autem prædi-
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cto circulo, ad quem obliquus eſt.</
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<
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quus ſit. </
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parallelos autem ipſi C D. </
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culi A B, circulus maximus deſcribatur
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E A B, ſecans A B, in A, & </
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de E, & </
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<
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tur A G. </
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<
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eodem puncto A, ſecant maximum circulũ
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E A B, in quo polos habent, ipſi ſe mutuo
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tangent in A. </
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tangens circulum A G, tanget alterum il-
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li æqualem, & </
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vero circuli paralleli A G, B H, circa eoſdẽ
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polos ſunt E, F: </
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circuli C D; </
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B H, circa eoſdem polos; </
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li inter ſe erũt. </
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<
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lus A B, duos A G, B H, æquales quidem inter ſe, parallelos autem ipſi C D,
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ad quem obliquus eſt. </
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<
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&</
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<
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