Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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arcus AB. </
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menti arcus AB, vt eſt ſecans arcus AC, ad ſecantem arcus BC, ſi nimitum
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figura paulo aliter conſtruatur. </
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<
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xml:space
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">In omni ergo triangulo ſphærico rectangu-
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lo, &</
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<
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<
s
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">IN triangulo ſphærico rectangulo, dato arcu, quirecto angulo
<
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opponitur, cum alterutro arcuum circa rectum angulum, inueſtiga-
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re tertium arcum, cum duobus angulis non rectis.</
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<
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<
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<
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">IN triangulo
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, cuius angulus
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, rectus, datus ſit arcus
<
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, vnà cum ar-
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cu
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. </
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<
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, cum angulis
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.
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<
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Camenimſit, vt ſinus totus ad ſinum complementi arcus
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<
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, ita ſecans arcus
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, ad ſecantem arcus
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:</
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<
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dati arcus circa angulum rectum, ita ſecans arcus
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angulo recto oppoſiti ad aliud, producetur ſecans
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tertij arcus, qui inquiritur. </
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cubus circa rectum angulum cognitis, vterlibet
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angulorum non rectorum cognoſcetur, vt in 5. </
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<
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<
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, ſit quadrante maior, minorve, diſcemus eæ
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datis duobus arcubus, vt ad finem problematis ſcholij 1. </
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ius omnes arcus quadrante ſint minores: </
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tus ad ſinum vtriuſlibet angulorum non rectorum
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proportionem habet eandem, quam ſecans com-
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plementi arcus illi angulo oppoſiti ad ſecantem
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complementi arcus recto angulo oppoſiti.</
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<
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">IN triangulo ABC, cuius arcus omnes ſint minores quadrante, ſit angu-
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lus B, rectus. </
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plementi arcus BC, ad ſecantem complementi arcus AC. </
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conſtructione figuræ propoſ. </
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drantes, vt ex demonſtratis in propoſ. </
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