Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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cuius arcus complementum exhibebit angulum _ABD,_ grad. </
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<
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<
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rea reliquum duorum rectorum _ABC,_ grad. </
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<
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<
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, 31._
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</
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<
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<
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<
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<
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cuius arcus complementum offeret angulum _C,_ grad. </
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<
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<
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guli _
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C,_ & </
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<
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<
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,_ ex grad. </
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<
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<
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<
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,_ grad. </
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_M_in. </
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<
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">_R_atio huius operationis colligitur ex tractatione ſinuum, vbi oſtendimus, ſi
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_
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,_ ſtatuatur ſinus totus, _BD,_ eſſe ſinum anguli _
<
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AD:_ </
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<
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,_ ponatur ſinus
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totus, _CD,_ eſſe ſinum anguli _
<
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AD,_ &</
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<
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<
head
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<
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xml:space
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">DATIS duobus lateribus trianguli non re-
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">In triágulo
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nõ rectágu
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lo ex duo-
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bus lateri-
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bus notis,
<
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velex eorũ
<
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proportio-
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ne nota, cũ
<
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angulo ab
<
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ipſis com-
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prehenſo,
<
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tertium la-
<
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tus, & reli-
<
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qui anguli
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exquirũt̃.</
note
>
ctanguli, cum angulo ab ipſis comprehenſo; </
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<
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data proportione duorum laterum angulum da-
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tum continentium: </
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<
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">tertium latus, & </
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<
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gulos inuenire.</
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<
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</
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<
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<
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">IN triangulo ABC, data ſint primum duo latera AB, AC, illud 3. </
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5. </
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<
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">ambientia angulum A, obtuſum, qui datus etiam ſit gnad. </
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<
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<
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<
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</
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<
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<
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">reliquos angulos B, C, inueſtigare. </
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<
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niam datur angulus A, grad. </
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<
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">93. </
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<
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<
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<
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<
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<
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ex duobus rectis, reliquum erit aggregatum duorum angulorum B, C, grad. </
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<
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86. </
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<
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<
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<
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<
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dem, quæ lateris AB, 3. </
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<
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<
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latus AC, ita ſinus anguli C, ad ſinum anguli B. </
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<
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<
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B, ſigillatim cognitus erit, ille 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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<
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<
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</
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<
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Quia vero latera ſunt ſinubus angulorum op-
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="
340-01
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xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/340-01
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</
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<
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poſitorum proportionalia, erit, vt ſinus anguli
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C, ad ſinum anguli A, ita latus AB, ad latus
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BC: </
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<
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ita latus AC, ad latus BC. </
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<
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regulam inuenietur latus BC, ferme 6. </
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<
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apparet.</
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C. # A. # # AB. # # BC.
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49874. # 99776. # # 3? # fit # 6. ferè
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# # Vel.
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B. # A. # # AC. # # BC.
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83147. # 99776. # # 5? # fit # 6. ferè.
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<
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<
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<
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">Praxis.</
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grad. </
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<
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<
s
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">vt ſumma aliorum duorum habeatur) fiat, vt ſemiſſis ſummæ
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duorum lat erum datorum, nempe ſemiſſis ſummæ terminorum proportio-
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nis ſinuum angulorum reliquorum, ad tangentem ſemiſſis ſummæ reliquo-
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rum angulorum, ita differentia inter ſemiſſem ſummæ datorum </
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