Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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337
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C. # A. # # AB. # # BC.
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59996. # 50779. # # 13? # fit # 11. # ferè.
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# # Item.
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C. # B. # # AB. # # AC.
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59996. # 92310. # # 13? # fit # 20. # ferè.
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# # Vel.
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A. # B. # # BC. # # AC.
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50779. # 92310. # # 11? # fit # 20. # ferè.
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<
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">ITAQVE, datis angulis omnibus, cum vno latere; </
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<
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">Praxis.</
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nus anguli lateri dato oppoſiti ad ſinum vtriuſuis reliquorum angulorum,
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ita latus datum ad aliud, inuenietur latus angulo illi, cuius ſinus acce-
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ptus eſt, oppoſitum: </
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<
s
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xml:space
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">Et ſi rurſus fiat, vt ſinus anguli lateri dato oppo-
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ſiti ad ſinum tertij anguli, ita datum latus ad aliud, reperietur latus ter
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tio angulo oppoſitum, &</
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<
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<
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">Quãdo triã
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gulũ eſt Iſo
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ſceles, vel ę-
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quilaterũ:
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aut quãdo
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in ſcaleno
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dãtur duo
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latera cum
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angulis.</
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<
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">QVOD ſi triangulum fuerit Iſoſceles, & </
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<
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lenum, & </
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<
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">duo dentur latera cum angulis, vnius tantum lateris inuentione
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opus eſt, vt patet. </
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<
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xml:space
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">In æquilatero autem triangulo, ſi detur vnum latus, erunt
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& </
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<
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<
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">IAM verò ſi datæ ſint proportiones angulorum, cum vno latere, inue-
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ſtigandæ erunt ex illis proportionibus magnitudines angulorum, vt in ſcho-
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lio propoſ. </
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<
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<
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rur propor
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tiones an-
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gulorũ, cũ
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vno latere.</
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hic oſtenſum eſt.</
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<
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">INVENTIS autem lateribus, liquido conſtat, eorum proportiones
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eſſe notas in numeris, in quibus ipſa cognita ſunt. </
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<
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lis trianguli non rectanguli, &</
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<
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<
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<
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ex notis la-
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teribus, vel
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ex eorũ pro
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portionibꝰ
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notis, angu
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li inueniũ-
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tur.</
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lateribus, vel eorum proportionibus, omnes an-
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gulos notos efficere.</
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<
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">IN triangulo priori ABC, ſint data omnia
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latera; </
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">& </
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<
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his inueſtigare angulos. </
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<
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ex oppoſito angulo A, ducatur perpendicularis
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AD, quę neceſlario intra triangulum cadet. </
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<
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enim latus BC, ſit maximum, erit & </
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<
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">angulus A,
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ipſi oppoſitus, maximus: </
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C, acutus. </
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<
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tra triangulum cadere. </
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tur rectæ BD, CD. </
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<
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<
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16. </
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<
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ſinus eſt anguli BAD, vt in tractatione ſinuum
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oſtendimus, dicemus per auream regulam. </
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