Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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datus arcus AB, non quadrans. </
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xml:space
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angulis adiacentẽ arcus perpendicularis AD:
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xlink:label
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">57. huius.</
note
>
qui intra triangulum cadet, ſi vterque angu-
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lorum B, C, datorum fuerit acutus, vel obtu-
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ſus; </
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ſus alter. </
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<
s
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xml:space
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">Quia ergo in triangulo ABD, re-
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ctum habẽte angulum D, datus eſt arcus AB,
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angulo recto oppoſitus, cum angulo non re-
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cto B; </
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<
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">notus fiet arcus AD, circa angulum
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xml:space
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">Schol. 41.
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huius.</
note
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rectum dato angulo B, oppoſitus. </
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<
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eodem triangulo ABD, quoniam datus eſt
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<
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xlink:label
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xml:space
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<
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vel 53. huiꝰ.</
note
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arcus AB, recto angulo oppoſitus, cum arcu
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AD, circa angulum rectum:
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</
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<
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<
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">Schol. 45.
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huius.</
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poſitus, & </
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<
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</
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<
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xml:space
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">VEL denique, quoniam datus eſt arcus AD, circa
<
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<
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xlink:label
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note-488-05
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xlink:href
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xml:space
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vel 44. huiꝰ.</
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rectum angulum, cum angulo B, non recto ei oppoſito;
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</
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<
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<
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tus fuerit minor quadrante; </
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ſit minor, erit quoque BD, minor; </
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<
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<
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<
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">36. huius.</
note
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ior. </
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xml:space
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<
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dem & </
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<
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<
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ro AD, ſit minor, erit BD, maior;
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</
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gulum rectum. </
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<
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xml:space
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">Hinc rurſus in eodem triangulo ABD, quoniam datus eſt ar-
<
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<
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xml:space
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">Schol. 41.
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vel 55. huiꝰ.</
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cus AB, recto angulo oppoſitus, & </
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<
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</
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<
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xml:space
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vel 48. huiꝰ.</
note
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ca angulum rectum:
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</
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<
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">VEL, quia datus eſt arcus AB, recto angulo oppo
<
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<
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">Schol. 45.
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vel 51. huiꝰ.</
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ſitus, cum arcu AD, circa angulum rectum:
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</
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<
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">VEL, quia datus eſt arcus AD, circa rectum angu-
<
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<
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position
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xlink:label
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xlink:href
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xml:space
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">Schol. 56.
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vel 42. huiꝰ.</
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lum, & </
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<
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ſtatq́; </
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<
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inuentus ſit quadrante maior, erit angulus BAD, ob-
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tuſus; </
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<
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<
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<
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<
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xlink:label
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huius.</
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recto oppoſitus, cum angulo non recto B;
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</
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<
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<
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">angulus non rectus BAD, ex ſcholijs in margine appoſitis.</
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<
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">DEINDE in triangulo ACD, rectum habente angulum D, quoniam
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datus eſt arcus AD, circa rectum angulum, cum angulo C, oppoſito; </
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<
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quando perpendicularis arcus AD, extra triangulum cadit, dabitur angulus
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ACD, ſi datus angulus ACB, ex duobus rectis ſubducatur.) </
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<
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<
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terea conſtare ſpecies arcus AC, qui in propoſito triangulo ABC, alteri da-
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to angulo B, opponitur, in hoc vero triangulo ACD, recto angulo D, op-
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poſitus eſt; </
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<
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<
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">qui vnus eſt reliquorum arcuum,
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<
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vel 54. huiꝰ.</
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qui inueſtigandi proponuntur in triangulo ABC. </
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<
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gulo ACD, datus eſt arcus AC, recto angulo oppoſitus, & </
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<
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">arcus AD, circa
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<
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xlink:label
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">Schol. 43.
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vel 53. huiꝰ.</
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rectum angulum:</
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