Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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<
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ergo, poſito ſinu toto CD, recta BD, ſit tangens anguli C; </
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gens BD, 75000. </
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CD. # CD. # BD. # # BD.
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16. # 100000. # 12? # fit # 75000.
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<
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proinde duo anguli A, C, grad. </
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eſt, vt ſinus anguli C, cogniti ad ſinum anguli BAC, dati, ita latus AB, 13. </
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datum ad BC, inuenietur latus BC, 20. </
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C. # BAC. # AB. # # BC.
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59996. # 92310. # 13? # fit # 20. ferè.
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<
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">Verum, vt vides, prior ratio multò eſt breuior, & </
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<
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ta latera sũt
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æqualia.</
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æqualia, facilius erit problema. </
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AB, AC, æqualia, quodlibet 9. </
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prehenſus grad. </
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que angulorum B, C, grad. </
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anguli B, vel C, ad ſinum anguli A, ita latus AC,
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vel AB, ad aliud, prodibit latus BC, 11 {43685/76604}. </
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vt hic vides.</
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B, vel C. # A. # AB, vel AC. # # BC.
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76604. # 98481. # 9? # fit # 11 {43685/76604}.
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comprehenſo, &</
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non rectan
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gulo ex da-
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tis duobus
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lateribꝰ da
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tis, vel ex eo
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rũ propor-
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cũ vno an-
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gulo nõ ab
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ipſis cõpre-
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henſo, ter-
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tium latus,
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& reliqui
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anguli in-
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ueſtigãtur.</
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ctanguli, vel eorum proportione data, vnà cum
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angulo, qui alteri datorum laterum opponitur:
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tet autem conſtare, num alter angulus reliquo la-
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teri dato oppoſitus ſit acutus, an obtuſus, ſi datus
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angulus acutus eſt.</
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acutus angulus C, grad. </
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de angulo B, qui alteri dato lateri AC, opponitur, num acutus ſit, an obtu-
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ſus: </
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niam ergo eſt, vt latus AB, ad latus AC, ita ſinus anguli C, ad ſinum anguli
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B; </
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ſinus anguli B, 92302. </
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