Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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portionem
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habeat ſinꝰ
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totus ad :5
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genté, & ſe
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cantem cu-
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iuſuis arcꝰ.</
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menti arcus cuiuſuis ad ſinum rectum eiuſdem ar
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cus, eam habet ſinus totus ad tangentem eiuſdem
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arcus: </
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<
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ctus cuiuſlibet arcus ad ſinum complementi eiuſ-
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dem arcus, eam habet ſinus totus ad tangentem
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eiuſdem complementi. </
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<
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loco proportionalis eſt inter ſinum complementi
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cuiuſuis arcus, & </
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inter ſinum rectum cuiuſlibet arcus, & </
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<
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complementi eiuſdem arcus. </
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<
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totus medius proportionalis eſt inter tangentem
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arcus cuiuſuis, & </
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<
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dem arcus.</
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inter ſemidiametrum AC, & </
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complementum eſt arcus CD. </
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ſinum rectum eiuſdé arcus, vt eſt ſinus totus AC,
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ad tangentem CE, &</
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poſitione definitionum dictum eſt, AF, æqualis
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eſt ſinui complementi arcus CD, cum ſit æqualis
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ſinui recto arcus BD, qui complementum eſt arcus
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CD; </
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ob rectos angulos F, C, & </
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A: </
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<
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">4. ſexti.</
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FD, ſinum rectum eiuſdem arcus CD, ita AC, ſi-
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nus totus ad CE, tangentem eiuſdem arcus. </
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<
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eſt primum.</
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<
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">DEINDE eadem ratione erit, vt AF, ſinus
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rectus arcus BD, ad FD, ſinũ complementi eiuſdem arcus BD, ita AC, ſinus
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totus ad CE, tangentem eiuſdem complementi arcus BD. </
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<
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<
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CD, ad AD, ſinum totum, ita AC, ſinus totus ad AE, ſecantem </
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