Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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B, grad. </
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hic vides.</
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AB. # AB. # # BD. # # BD.
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11. # 100000. # # 8 {4/5}? # fit # 80000.
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# # Item.
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AC. # AC. # # CD. # # CD.
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13. # 100000. # # 11 {1/5}? # fit # 86154.
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<
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C, grad. </
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">&</
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<
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xml:space
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">Generalitas
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huius pro-
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poſ.</
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ue angulus maximus A, acutus ſit, vt in priori triangulo, ſiue obtuſus, vt in
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poſteriori, ſiue deniq; </
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traditum ſit propoſ. </
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guli duo acuti inueniantur.</
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<
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terum pro-
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portiones
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datæ ſunt.</
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<
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">IAM ſi dentur laterum proportiones, ſaltem duæ, continuabimus eas in
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tribus minimis numeris, ſi proportionum numeri minimi non ſint, vt Eucl.
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<
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">numeros lateribus aſcribemus, perinde ac ſi in
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illis numeris darentur. </
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quæ 26. </
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ad minimos hoſce numeros 13. </
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gulũ eſt Iſo
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ſceles.
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coroll. 8.
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huius.</
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& </
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baſim, ſiue ea ſit maximum latus, ſiue minimum: </
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<
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ad aliud, inuenietur ſinus cuiuſdam arcus, cuius complementum dabit vnum
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æ qualium angulorum ſupra baſim, vt ex demonſtratis liquet. </
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bitur: </
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<
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<
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<
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gulũ eſt æ-
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quilaterũ.</
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tur, cum quilibet ſit tertia pars duorum rectorum, hoc eſt, contineat grad.
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</
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<
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<
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ciendum erat.</
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cendam ex angulo oppoſito, vt intra triangulum cadat, fiatq; </
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men eadem fere via problema abſoluemus, ſi in triangulo obtuſangulo perpendicula-
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ris non ducatur ab obtſo angulo in maximum latus, ſed ab alterutro acutorum an-
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pendicũla-
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ris in obtu-
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sãgulo triã
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gulo cadit
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extta trian
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gulum.</
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gulorum in latus oppoſitum protractum, ita vt cadat extra
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triangulum, vt in hoc triangulo _ABC,_ manifeſtum eſt, in
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quo latus _AB,_ datur _22. </
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vt _BC, 14._ </
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<
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_53._ </
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<
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eorundem laterum ad aliud, reperietur numerus _34 {1/14}._ </
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quo ſi ſubducatur latus _
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C,_ remanebit numerus _20 {1/14}._
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</
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<
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<
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">erit recta _BD,_ ac proinde _CD,_
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_24 {1/28}._ </
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<
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,_ _22._ </
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<
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,_ ſi-
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num totum 100000. </
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<
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<
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D,_ ſinus _45617._</
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