Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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æqualiter inclinati ad maximum parallelorum, tangunt eundem pa-
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rallelum: </
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iorem parallelum tangit.</
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<
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gant eundem parallelum _A C,_ ſitque
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parallelorum maximus _D E._ </
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xml:space
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culos _A B, C B,_ æqualiter inclinari ad
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circulum _D E._ </
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<
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rallelorum, & </
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<
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_C,_ circuli maximi deſcribantur _F A D,_
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_F C E,_ qui per polos circulorum _A B,_
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_C B,_ tranſibunt; </
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<
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angulos rectos ſecabunt. </
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_A F, C F,_ metientur altitudinem po-
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li _F,_ circuli _D E,_ ſupra circulos _A B,_
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_CB;_ </
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<
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</
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æquales ſint, propterea quòd rectæ ſub
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tenſæ _F A, F C,_ æquales ſunt, ex defin.
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poli, æqualiter inclinabitur circulus
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_D E,_ ad circulos _A B, C B;_ </
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<
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ciſsim ad illũ æqualiter inclinabuntur.</
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rem eſſe inclinationem circuli _G H,_ ad maximum parallelorum _D E,_ quàm circuli
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_A B._ </
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<
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">contactum _G,_ circulo maximo _F G E,_ metietur eodem
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<
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modo, vt proxime demonſtratum eſt, arcus _F G,_ altitudinem poli _F,_ circuli _D E,_ ſu-
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pra circulum _G H._ </
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pònatur circulo _A C,_ ac proinde à polo _F,_ remotior. </
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culus _D E,_ ad circulum _G H,_ quàm ad circulum _AB;_ </
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<
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">viciſsim _G H,_ magis ad
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_D E,_ inclinabitur, quàm _A B._</
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<
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maximnm parallelorum. </
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<
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rallelorum, & </
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<
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">polos circulorum _A B, C B,_ circuli maximi deſcribantur _F A D,_
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_F C E,_ ſecantes circulos _A B, C B,_ in _A, C._ </
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<
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ctos; </
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<
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">metientur arcus _F A, F C,_ altitudinem poli _F,_ circuli _D E,_ ſupra circulos _A B,_
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_C B:_ </
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<
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, C B,_ æqualiter ponantur
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<
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huius.</
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inclinari ad circulum _D E,_ atque adeo & </
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interuallo _F A,_ vel _F C,_ circulus deſcribatur _A C,_ tanget hic circulos _
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, C B;_
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</
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<
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propterea quod circulus _
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C,_ & </
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<
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circulos maximos _F D, F E,_ qui per eorum polos tranſeunt.</
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<
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</
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<
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rum, & </
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<
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">per polum circuli _G H,_ circulo maximo _F G,_ qui circulum _G H,_ ſeca-
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bit adangulos rectos, nimirum in puncto _G;_ </
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<
s
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<
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">15. 1. huius.</
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dinem poli _F,_ circuli _D E,_ ſupra circulum _G H:_ </
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<
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huius.</
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magis inclinatus ponatur circulus _G H,_ quàm _
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B._ </
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teruallo _F G,_ deſcriptus maior erit circulo ex eodẽ polo _F,_ & </
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