Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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recta gradus _20._ </
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. </
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<
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xml:space
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">_Q_uot autem gradus complectatur arcus _VC_, indicabit quadrans
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in _90_. </
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<
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<
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">_EODEM_ pacto omnia alia problemata _G_eometrice per ſinus abſoluemus, etiamſi
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ſinubus verſis vti oportuerit aliquando, qui quidem eadem facilitate exdatis arcu-
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bus inueniuntur, & </
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<
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">exipſis arcus, qua ſinus rectos, & </
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<
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mus. </
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<
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">_S_i enim arcus datus minor eſt quadrante, vt _AG;_ </
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<
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culari, erit _AS_ ſinus verſus arcus _AG_. </
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<
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_AV;_ </
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<
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">ducta _VT_, ad _EC_, perpendiculari, erit _AT_, ſinus verſus arcus _AV_, vt ex
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definitione manifeſtum eſt.</
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<
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rurſum ſinuum tabulam facili negotio componemus.</
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proportio
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maioris ar-
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cꝰ in circu-
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lo ad arcũ
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minorẽ, q̃
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chordæ ma
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ioris arcus
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ad chordã
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minoris.</
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libus, quorum maioris chorda maior ſit, quam
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chorda minoris; </
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ris ad minorem, quam chordæ arcus maioris ad
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chordam minoris arcus.</
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<
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">IN circulo ABCD, ſint inęquales arcus AB,
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; </
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<
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</
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<
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<
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">illa maior, hæc vero minor. </
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proportionem arcus AB, ad arcum BC, quam chordæ AB, ad chordam BC. </
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Contineant enim chordæ AB, BC, angulum ABC, ita vt arcus ſint conti-
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nuati, minoreſq; </
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æquales, eſſet eadem chorda vtriuſq; </
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excederent, eſſet chorda arcus minoris maior, quam maioris, vt patet in ſe-
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cunda figura, ſi minor arcus foret BAI. </
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cetur recta BD, connectãturq́; </
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ſecet in E. </
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">Erunt autem rectæ AD, CD, æquales, propter arcus AD, CD,
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qui ſubten ſiangulis ABD, CBD, ex conſtructione æqualibus æqualesinter
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ſe ſunt. </
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ſecat; </
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