Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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_28._ </
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,_ ad _C,_ vt _10._ </
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<
s
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">_SED_ demus aliud exemplum in tertio triangulo eiuſdem figuræ, in quo ſit pro-
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portio anguli _
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,_ ad angulum _C,_ vt _62._ </
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<
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,_ ad angulum
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_A,_ vt _248._ </
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<
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datæ non ſunt continuatæ, eas continuabimus, ſtatuendo proportionem _A,_ ad _B,_ vt _52._
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,_ ad _C,_ vt _62._ </
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<
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proportionem habentibus, quam anguli _A, B,_ ſiue numeri _52. </
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<
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proportiones continuatæ in his tribus numeris minimis _13. </
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lectis ergo ipſis in vnam ſummam _90._ </
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gradibus, vt hic apparet.</
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<
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</
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<
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xml:space
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ex propor-
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tione duo-
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tũ tantum
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angulorũ
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in triangu-
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lo rectangu
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lo propot
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tiones late-
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rum cogno
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ſeantur.</
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Sit enim in ſecundo triangulo eiuſdem figuræ proportio anguli _A,_ ad angulum _
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,_ re-
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ctum, vt _8._ </
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gulam auream angulum _A,_ eſſe grad. </
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</
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<
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anguli _A,_ ad angulum acutum _C,_ vt _16._ </
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recto ſunt æquales, hoc eſt, continẽt grad. </
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ſummam _36._ </
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hic cernis.</
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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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ex propor-
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tione vtriuſ
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uis angulo
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rum æqua-
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lium ad ter
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tium angu
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lum in triã
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gulo Iſoſce
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le inueniã-
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cur laterũ
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proportio-
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nes.</
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">_EODEM_ modo in triangulo Iſoſcele ſatis eſt, ſi proportio vtriuslibet æqualium
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angulorum ad tertium angulum cognoſcatur, aut tertij anguli ad vtrumlibet angu-
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<
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number
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lorum æqualium. </
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C,_ cu-
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ius duo latera _AB, AC,_ æqualia ſunt, cognita ſit propor-
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tio anguli _
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,_ ad angulum _A,_ nempe eadem, quæ _10._ </
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</
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<
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Quare duæ proportiones notæ erunt, quas continuabimus,
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ſi dicamus proportionem _
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,_ ad _
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,_ eſſe, vt _16._ </
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<
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ad _C,_ vt _10._ </
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<
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_80._ </
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<
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, C,_ grad. </
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<
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ta ſunt.</
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<
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<
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_ æquilatero triangulo non eſt, quòd quicquam præcipiamus, cum in eo late-
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@a babeant æqualitatis proportionem.</
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