Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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">IN eadem ſphæra A B C D E F, circa eoſdẽ polos A, D, ſint circuli B F,
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C E. </
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circulum perpendicularis. </
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In ſphæra igitur circuli, qui ſunt circa eoſdem polos, ſunt paralleli. </
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oſtendendum erat.</
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<
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duo.</
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res quàm duo circuli æquales, & </
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pe tres _A B, C D, E F,_ qui circa eoſdem polos
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erunt. </
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recta _G H,_ quæ tranſibit per I, centrum ſphæ-
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ræ, & </
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dicularisq́; </
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niam igitur circuli _A B, C D, E F,_ æquales
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ſunt, ipſi æqualiter diſtabunt à centro ſphæræ _I._
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_I K, I L, I M,_ æquales erunt, nempe pars _I L,_
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& </
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igitur non ſunt plures circuli æquales, & </
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dum erat.</
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cto circunferentiam illius maximi circuli, in quo
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polos habent, ſe mutuo tangent illi circuli.</
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in puncto A, circunferentiam maximi circu-
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li A B C, qui per illorum polos tranſeat. </
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co circulos A B, A C, ſe mutuo tangere in
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A. </
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ſecat circulos A B, A C, per polos, bifariam
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ipſos ſecabit, & </
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nes ergo ſectiones circuli A B C, & </
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rum A B, A C, nempe rectæ A B, A C, dia-
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metri ſunt circulorum A B, A C. </
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que communis ſectio planorum, in quo
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circuli A B, A C, exiſtunt, recta D E, quæ
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per punctum A, tranſibit, propterea quod plana circulorum in A, </
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