Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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cet, recta linea ducta à centro ſphæræ ad conta-
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ctum, perpendicularis erit ad planum.</
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ſam non ſecet, in puncto A: </
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centro ſphæræ, ducatur ab eo recta B A, ad
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punctum contactus A. </
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dictum planum perpendicularem eſſe. </
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per rectam A B, ducantur duo plana vtcun
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que ſe mutuo ſecãtia, quæ in ſuperficie qui-
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dem ſphæræ faciant circulorum circumfe-
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rentias A C D E, A F D G, in plano autẽ
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tangente rectas H A I, K A L. </
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igitur vterque circulus A C D E, A F D G,
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per centrum B, ſphæræ traijcitur, erit quo-
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huius.</
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que B, vtriuſque centrum. </
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fit, vt neque rectæ H A I, K A L, in eo exiſtentes eandem ſecent; </
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<
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neque circulos A C D E, A F D G, in ſphæræ ſuperficie exiſtentes. </
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igitur recta H A I, circulum A C D E, in puncto A, & </
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A F D G, in eodem puncto A. </
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ctam K A L, perpendicularis eſt. </
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gens, quod per rectas H A I, K A L, ducitur, perpendicularis erit. </
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ergo planum tangat, quod eam non ſecet, &</
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cet, à contactu autem excitetur recta linea ad an-
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gulos rectos ipſi plano, in linea excitata erit cen-
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trum ſphæræ.</
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cto planum E F, quod eam non ſecet, à pun
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cto autem C, excitetur ad planum E F, per-
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pendicularis C A. </
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ſe ſphæræ. </
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ſphæræ extra rectam A C, ſi fieri poteſt, & </
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G, ad C, recta ducatur G C, quę ad planum
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E F, perpendicularis erit: </
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ad idem planum perpendicularis. </
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<
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eodem puncto C, ad idem planum E F, duæ
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perpendiculares ducuntur. </
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