Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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H,I. </
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les ponuntur, erunt paralleli CD, EF, æquales. </
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<
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<
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">arcus GK, GL,
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æquales erunt. </
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<
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<
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culis æqualibus CD, EF, arcus æquales auferent CK, FL; </
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<
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ſe ſimiles erunt arcus Ck, FL: </
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GI, arcui FL, ſimilis. </
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proinde, cum ſint eiuſdem circuli, æquales interſe. </
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ximus circulus, &</
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parallelos interceptos inter ſe æquales eſſe, quales ſunt _CH, HE, KG, GL, DI,_
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_IF._ </
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C, GH,_ arcubus _
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F,
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,_ æquales ſint, erunt & </
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<
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">rectæ _CH_,
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_FI,_ æquales; </
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arcus _
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, DI,_ & </
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cus æquales erunt.</
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lumtangat, alius autem maximus circulus obli-
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quus ad parallelos tangat circulos maiores illis,
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quos tangebat maximus circulus primo poſitus:
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">inæquales intercipient circunferẽtias parallelorũ
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circulorum, quarum propiores vtriuis polorum
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maiores erunt, quàm vt ſimiles ſint remotioribus.</
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DE, tãgat alium maiorẽ DF, ſecet-
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q́ue duos parallelos quoſcũq; </
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BI, in k, E. </
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æquales eſſe, maioremque eſſe k H,
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polo conſpicuo propiorem, quàm
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vt ſimilis ſit arcui EI, remotiori:
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</
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<
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piorẽ eſſe maiorem, quam vt arcui
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KG, remotiori ſimilis ſit. </
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<
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cta enim E, K, deſcribantur maximi
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circuli LE, CN, tangentes circu-
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lum AC, ita vt ſemicirculià C, per
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N, & </
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conueniant: </
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per E, & </
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coeant. </
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EI, ſimiles. </
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