Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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quod eſt propoſitum. </
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<
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xml:space
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">Ex his constat, arcum H E, in figura propoſitionis
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minorem eſſe arcu D F. </
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<
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xml:space
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">Nam cum angulus F M K, acutus ſit, & </
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<
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">H N K,
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ebtuſus, ſi ex M, N, ad D E, perpẽdiculares ducerentur, caderent hæ in ar
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cus D F, B H, auferrentque, vt in proximo lemmatc oſtendimus, arcus
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æquales. </
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<
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">SI in circunferentia maximi circuli ſit polus
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parallelorum, huncque maximum circulum ſecẽt
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ad angulos rectos duo alij maximi circuli, quorú
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alter ſit vnus parallelorum, alter verò obliquus ſit
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ad parallelos; </
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<
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">ab hoc autem obliquo circulo æqua
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les circunferentiæ ſumantur deinceps ad eandem
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partem maximi parallelorum, perque illa puncta
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terminantia æquales circunferentias deſcriban-
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tur paralleli circuli: </
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<
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circuli primo poſiti inter parallelos interceptæ in-
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æquales erunt, ſemperque ea, quæ propior fuerit
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maximo parallelorum, remotiore maior erit.</
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<
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">IN circunferentia maximi circuli A B C D, ſit A, polus parallelorum,
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cumq́ue fecent duo maximi circuli B D, E C, ad angulos rectos, quorum B D,
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ſit maximus parallelorum, & </
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los obliquus: </
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<
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">per F, G, H, puncta, quæ ex
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obliquo circulo arcus æquales auferunt F G,
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G H, deſcribantur paralleli I K, L M, N O, ex
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polo A. </
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Per polum enim A, & </
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<
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maximus deſcribatur A P, ſecans parallelos in
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P, Q. </
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intra periphæriam circuli I K, punctum G, ſi-
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gnatum eſt præter polum A, & </
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cus G P, G F, circulorum maximorum ca-
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dunt in circunferentiam circuli I K; </
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<
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@. huius.</
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cus G P, omnium minimus; </
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quam G F: </
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<
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">quod arcus G P, G F, minores ſint ſemicirculo, cum ſe non inter-
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ſecent, antequam parallelum I K, diuidunt. </
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extra periphæriam circuli N O, punctum G, ſignatum eſt præter eius polum;</
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