Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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">ÆQVALES rectæ lineæ ex circulis inæqualibus auferunt ar-
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cus inæquales, maiorq́ue eſt arcus minoris circuli, quàm vt ſimilis
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ſit arcui maioris circuli.</
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<
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">_SINT_ circuli inæquales A B, C D, circa idem centrum E, deſcripti:
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">ducantur autem ex E, duærectę vtcunque E A, E B, ſecantes circulum
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C D, in punctis C, D: </
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<
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">erunt{quam} arcus A B, C D, ſimiles, cum illis idem an-
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ſexti.</
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gulus E, inſiſtat ad centrum. </
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xml:space
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">Et quoniam rectæ E A, E B, proportiona-
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liter ſunt ſectæ in punctis C, D, quòd E A,
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E B, æquales ſint, nec non E C, E D; </
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etæ ductæ A B, C D, parallelæ; </
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triangula E A B, E C D, ſimilia, habentia
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ſexti.</
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angulos E A B, E C D, inter ſe æquales, nec
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non & </
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<
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">angulũ E,
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communem. </
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ita E C, ad C D: </
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E C. </
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Accommodetur igitur ipſi C D, in circulo
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A B, æqualis B F; </
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tertij.</
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cus C D, arcui A B, ſit ſimilis; </
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<
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ipſi F B. </
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">Aequales igitur rectæ F B, C D, ex circulis inæqualibus A B,
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C D, inæquales arcus auferunt, maior{quam} eſt arcus C D, circuli minoris,
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quàm vt ſimilis ſit arcui F B, circuli minoris. </
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<
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<
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nore auferre arcum maiorem, quàm vt ſimilis ſit ei, quem ex circulo ma-
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iore aufert linea minor. </
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C D, maiorem, quàm vt ſimilis ſit arcui F B; </
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C D, auferet maiorem arcum, quàm vt ſimilis ſit arcui F B; </
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tertij.</
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maiorem arcum abſcindat, quam C D. </
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recta H X, maior exiſtens, quàm recta Y Z, auferet ex circulo minore
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Q R, arcum H X, maiorem, quàm vt ſimilis ſit arcui Y Z, quem recta
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Y Z, aufert ex S T, circulo maiore.</
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<
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rectas lineas ex circulis inæqualibus auferre arcus inæquales ſimpliciter,
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ita vt arcus minoris circuli ſimpliciter maior ſit arcu circuli maioris, & </
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nθn ſolũ maior, quàm vt ſimilis ſit. </
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auferat{quam} C D, arcum minoris circuli C E D, & </
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F G B. </
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enim recta C D, rectæ F B, cadet neceſſario arcus C E D, extra arcũ F G B;
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">at que adeo arcus C E D, maior erit arcu F G B, cum ille hunc totum intra </
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