Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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pterea & </
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">arcus parallelo
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rum C V L, D X E, æ-
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quales erunt. </
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xml:space
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ſecẽtur bifariam in V, X,
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vt dictum eſt, æquales e-
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runt eorum medietates,
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nimirum quatuor arcus
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C V, V L, D X, X E. </
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<
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igitur arcubus ęqualibus
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C V, D X, communis ar-
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cus addatur V D, æqua-
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les erunt arcus C D, V X:
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</
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<
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xml:space
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">Eſt autem arcus V X, ar
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">10. huius.</
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cui A B, ſimilis. </
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& </
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">C D, eidem A B, ſimi
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lis erit. </
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demus F G, eidem A B,
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ſimilem eſſE; </
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arcus E L, H M, eidem
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arcui A B, eſſe ſimiles. </
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<
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">Quod ſecundo loco proponebatur demonſtrandum.
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</
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">CIRCVLO in ſphæra dato, qui minor ſit
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quàm circulus maximus, datoq́ aliquo puncto
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in eius circunferentia, per illud punctum deſcri-
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bere circulum maximum, qui tangat datum cir-
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culum.</
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">IN ſphæra datus circulus ſit non maximus A B, cuius polus C, opor-
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teatq́; </
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">per A, punctum in eius circũferentia
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datum, deſcribere maximum circulum, qui
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circulum A B, tangat. </
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<
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">20. i. huius.</
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ctum A, deſcribatur circulus maximus
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C A D E B, in quo ſumatur quadrans A D,
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& </
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">polo D, interuallo D A, circulus deſcri-
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batur A E, qui maximus erit, quòd recta
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ſubtenſa D A, latus ſit quadrati in maxi-
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mo circulo deſcripti. </
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mum A E, tangere circulum A B, in A. </
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niam enim duo circuli A B, A E, eundem
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circulum C A D, per eorum polos </
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