Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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meter circuli _ABC;_ </
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<
s
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">ſuper ipſam rectum circuli ſegmentum _A G D,_ conſtitutum,
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quod quidem inæqualiter ſecatur in _
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,_ (Nam quia, ex defin. </
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_F A, F D,_ æquales ſunt, erunt quoque arcus _F A, F D,_ æquales; </
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<
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_A D,_ ſectus erit bifariam in _F,_ at que ob id in _G,_ non bifariam ) maiorq́; </
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<
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huius.</
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& </
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">Igitur rectarum ductarum ex _G,_ ad circunferentiam circuli _A B C,_
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maxima eſt _G A,_ & </
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<
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les. </
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terti.j</
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& </
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B,_ verò maior, quàm _
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C;_ </
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nique _
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B,
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E,_ æquales.</
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<
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ctum ſignetur præter eius polum, ab eo autem ad circuli circunfe-
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rentiam plurimi arcus circulorum maximorum ducantur ſemicir-
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culo minores, ſecantesq́; </
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<
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<
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per circuli polum ducitur; </
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<
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remotiore ſemper maior eſt: </
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ctum, & </
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quorum verò minimo propinquior, remotiore ſemper minor eſt:
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ter ſe æquales ſunt.</
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extra peripheriam circuli, punctum quodvis _
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,_ præter alterum polum circuli
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_
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C D E:_ </
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,_ plurimi arcus maximorum
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circulorum ducantur ad circunferentiam circu-
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li _A B C D E,_ ipſam ſecantes; </
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D F A,_
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per polum _F,_ tranſeat;</
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H B,_ pro-
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pinquior ſit ipſi _
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D F A,_ quàm _
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I C:_ </
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nique _
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,
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K E,_ æqualiter diſtent ab eo-
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dem _
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D F A,_ vel à _
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D,_ ſintque omnes hi ar-
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cus ſemicirculo minores: </
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cum ſe mutuo non interſecabunt in alio puncto,
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quàm in _
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,_ veluti in antecedenti theoremate
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eſt oſtenſum. </
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A,_ eſſe omnium
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maximum; </
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<
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B,_ maiorem quàm _
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C:_ </
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mum autem eſſe _
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D;_ </
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H,_ minorem quàm _
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I:_ </
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<
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B,
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E,_
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Item _
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H,_ _
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K,_ æquales eße. </
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<
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A,_ ſecat circulum _A B C D E,_
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<
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bifariam, & </
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D,_ diameter circuli _A B C D E,_
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& </
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<
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,_ quod initium ſumens à _D,_
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per _
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,_ ducitur, donec in alio puncto _A,_ circulum _A B C D E,_ iterum ſecet: </
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<
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dem non bifariam ſectum eſt in _
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,_ (quòd _
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,_ non ponatur polus circuli _A B C D E,_
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in quo dictum ſegmentum bifariam diuiditur, vtin præcedenti theoremate oſtenſum
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eſt.) </
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<
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,_ vſque ad _A,_ cum in ea ſit reliquus polus, (alias ar
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cus _
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DA,_ per vtrumque polum duceretur.)</
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<
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._ </
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<
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,_
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<
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huius.</
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ad circunferentiam circuli _A B C D E,_ ductarum, maxima eſt _
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A,_ & </
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<
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