Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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AB, maius ſit latere AC, erit & </
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<
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342-01
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tus erit. </
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<
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maior recto. </
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<
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<
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<
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res duobus rectis. </
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<
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<
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det perpendicularis CD, intra triangulum. </
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ſecundi.</
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gulo igitur rectangulo ACD, cum angulus A, ſit grad.
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</
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<
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<
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Min. </
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<
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<
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ad ſinum anguli A, ita latus AC, 24. </
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</
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<
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">inuenietur latus CD, per regulã auream, 14 {2699/3125}. </
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Vt hic apparet.</
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D. # A. # AC. # # CD.
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100000. # 61932. # 24? # fit # 14 {2699/3125}.
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<
s
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">Eadem ratione, cum ſit, vt ſinus totus anguli recti D, ad ſinum anguli ACD,
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<
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ita latus AC, 24. </
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<
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<
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vides.</
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D. # ACD. # AC. # # AD.
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100000. # 78514. # 24? # fit # 18 {5271/6250}.
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<
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</
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<
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">Et quia, vt in tractatu tangentium oſtendimus, poſito ſinu toto BD, recta
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CD, tangens eſt anguli B, inuenietur CD, tangens 146344. </
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ſtum eſt.</
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BD. # BD. # CD. # # CD.
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10 {979/6250}. # 100000. # 14 {2699/3125}? # fit # 146344.
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</
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<
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<
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40. </
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Quoniam autem eſt, vt ſinus anguli B, noti ad ſinum anguli A, dati, ita latus
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datum AC, 24. </
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B. # A. # AC. # # BC.
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82577. # 61932. # 24? # fit # 18. ferè.
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gulus A, ab ipſis comprehenſus obtuſus, & </
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<
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342-02
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/342-02
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tur ex alterutro angulorum acutorum, vt ex B,
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ad oppoſitum latus CA, perpendicularis: </
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ſecundi.</
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extra triangulum cadet. </
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<
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BAC, ponitur grad. </
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<
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<
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<
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<
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grad. </
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<
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<
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<
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<
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pterea ABD, neceſſariò grad. </
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<
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<
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<
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<
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<
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ſinum anguli BAD, ita latus AB, datum 13. </
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<
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tus anguli recti D, ad ſinum anguli ABD, ita latus datum AB, 13. </
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<
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AD; </
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<
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<
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<
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<
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D. # BAD. # # AB. # # BD.
<
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100000. # 92310. # # 13? # fit # 12. ferè.
<
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# # Item.
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D. # ABD. # # AB. # # AD.
<
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100000. # 38456. # # 13? # fit # 5. ferè.
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