Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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lum inuenire.</
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lus A B, non maximus. </
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C, D, diuidatur vterque arcus C A D, C B D, bifariam in A, & </
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quæ deſcribatur maximus circulus A E B; </
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">arcus A E B, bifariam
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in E. </
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les ſunt, necnon B C, B D, erunt toti arcus A C B, A D B, æquales. </
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re maximus circulus
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A E B, cum circulum
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non maximum A B,
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bifariam ſecet in A,
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& </
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polos. </
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E, æqualiter diſtans
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a circunferentia cir-
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culi A B, polus eſt cir
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culi A B. </
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do ſi reliquus arcus
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A F B, ſecetur bifa-
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riam in F, erit F, al-
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ter polus circuli A B.</
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vtcumque, & </
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">diuiſis arcubus C A D, C B D, bifariam in A, B, oſtendemus,
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vt prius, totos arcus A C B, A D B, eſſe æquales, ac propterea vtrumque eſ
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ſe ſemicirculũ circuli maximi. </
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bifariam in G, erit recta G A, ſubtendens quadrantem circuli, latus quadrati
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in maximo circulo A B, deſcripti; </
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lo G, & </
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">in teruallo G A, circulus deſcribatur A E B, qui maximus erit, cũ recta
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ex G, polo ad eius circunſerentiã ducta nimirũ ad punctũ A, ſit æqualis lateri
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quadrati in circulo maximo A B, deſcripti, Diuidatur deniq; </
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riam in E. </
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tranſeat per G, polum maximi circuli A E B, tranſibit viciſsim maximus cir
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huius.</
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culus A E B, per polos maximi circuli A C B. </
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remotum à circunferentia circuli A C B, polus eſt circuli A C B. </
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do diuiſo arcu A F B, bifariam in F, erit F, alter polus circuli A C B. </
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bet ergo circuli in ſphæra dati polum inuenimus. </
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<
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