Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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culi B F D G, ad ipſius planum educta eſt perpendicularis E A, tranſibit hęc
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huius.</
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per H, centrum ſphæræ, atq; </
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erit perpendicularis ad planum circuli B F D G. </
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cta cadetin polos eiuſdem circuli; </
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BFDG. </
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oſtendendum erat.</
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<
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los ducta, ad circulum recta eſt, tranſitq́ per cen-
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trum circuli, & </
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<
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">IN ſphæra A B C D, ſit circulus B F D G, per cuius polos A, C, recta du
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catur A C, occurrens plano circuli in E. </
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li rectam eſſe, tranſireq́; </
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">per eius centrum, (hoc eſt, E, eſſe ipſius centrum)
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nec non per centrũ ſphæræ. </
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F G, quarum extrema cum polis A, C, iungantur rectis, vt in figura; </
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tam A B, A G, A F, A D, inter ſe, quàm C B,
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C G, C F, C D, inter ſe æquales, ex defin. </
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<
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ra A B, A C, duobus lateribus A D, A C, & </
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ſim B C, baſi D C, æqualem habent. </
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pter & </
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bunt. </
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A D E, duo latera A B, A E, duobus lateribus
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A D, A E; </
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ſis contentos B A E, D A E, æquales, vt pro-
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xime demonſtratum eſt, erunt & </
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A E D, æquales, & </
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monſtrabimus, rectos eſſe angu los A E G, A E F. </
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ctis B D, F G, ad rectos inſiſtit angulos. </
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circuli B F D G, per rectas B D, F G, ductum. </
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tum. </
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<
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cularis eſt ducta A E, cadet A E, in centrum ipſius. </
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<
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culi B F D G. </
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num perpendicularis E A, tranſibit hæc per centrum quoq; </
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huius.</
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recta A C, perpendicularis eſt ad planum circuli B F D G, tranſitq́ per eius
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centrum, & </
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<
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<
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linea recta per eius polos ducta, &</
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