Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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xml:space
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">IN ſphæra data ſumptis vtcunq́ue duobus punctis A, B, deſcribatur ex
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A, polo, & </
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<
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batur F G: </
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<
s
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xml:space
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">fiat ſupra F G, triangulum E F G, habens vtruque reliquorum
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primi.</
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laterum E F, E G, rectæ ducte
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A B, æquale. </
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xml:space
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ad E F, E G, perpendiculares
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educantur F H, G H, coeun-
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tes in H;</
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metro datæ ſphæræ. </
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ſphæræ diametro A C, traijcia
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tur per rectas A B, A C, pla-
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num ſaciens in ſphæra circulũ
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A B C D, qui maximus erit,
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cum per diametrum ſphæræ,
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atque adeo per centrum eiuſ-
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dem ducatur. </
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<
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riam ſecabit; </
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<
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E F, F G, æqualia, nec non & </
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<
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tro B D, æqualis, ex conſtructione: </
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<
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Igitur & </
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gulus A C D, æqualis: </
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<
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propoſ. </
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vni æqualium angulorum obijcitur, æquale. </
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æqualis erit. </
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">Lineam igitur rectam E H, deſcripſimus æqualẽ diametro A C,
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datæ ſphæræ. </
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<
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ſphæræ ducta, quæ ſit æqualis lineæ rectæ ab eodem polo ad circun-
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ferentiam circuli ductæ, in circuli circunferentiam cadit.</
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<
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cta ſit vtcumque _A D,_ ad eius circunferentiã,
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quæ minor erit diametro ſphæræ, atque adeo dia
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metro circuli maximi in ſphæra, cum diameter
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ſphæræ ſit omnium rectarum in ſphæra ductarũ
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maxima Ducatur iam ex eodem polo A. </
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perficiem ſphæræ recta _A E,_ quæ ipſi _A D,_ æqua-
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lis ſit. </
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<
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tiam circuli _B C._ </
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in eius circunferentiam. </
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centrum ſphæræ ducatur planũ faciens in ſphæ-
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