Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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recta _E F,_ in vtramque partem. </
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_BGDH;_ </
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">centrum circuli _B G D H,_
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connectens perpendicularis eſt ad planum eiuſdem circuli, cadet eadem _E F,_ vtrin
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que protracta in polum vtrumque eiuſdem circuli. </
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<
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<
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culi, eiuſdem centrum, & </
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<
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">centrum ſphæræ, perpetuo in vna ſinea recta, nempe diametro
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ſphæræ, exiſtere, & </
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cularem: </
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num circuli, tranſeat quoq; </
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<
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fariam.</
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<
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">IN ſphæra A B C D, ſecent ſe mutuo duo circuli maximi A C, B D, in
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punctis E, F. </
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in ſphæra per centrum ſphæræ tranſeunt, tranſibunt circuli A C, B D, per
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ſphæræ centrum, quod ſit G. </
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li per ſphæræ centrum traiecti, erit punctum G, quod ſphæræ centrum poni-
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huius.</
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tur, centrum quoq; </
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lorum A C, B D, exiſtat. </
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Tria igitur pũcta E, G, F, in vtroq; </
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rũ A C, B D, exiſtunt; </
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ſectione erunt, cum ſolũ cõmunis eorum ſectio
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ſit in vtroq; </
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rum ſectio linea recta. </
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in linea recta ex E, per G, ad F, ducta exiſtunt.
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<
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culi, & </
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& </
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<
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que eorum bifariam ſecabit, ita vtſemicirculi
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ſint E A F, F C E, E B F, F D E: </
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go maximi circuli ſe mutuo ſecant bifariam. </
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Quod erat demonſtrandum.</
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<
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cant, ſunt maximi.</
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