Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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rectæ A I, I G, rectis D K, K H, æquales ſunt; </
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<
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xml:space
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ſemidiametris A L, D M, vt in prima figura, vbi puncta I, K, cadunt in ſe-
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midiametros A L, D M, vel certe erunt & </
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<
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cunda figura, vbi puncta I, K, cadunt in ſemidiametros A L, D M, productas
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ad A, & </
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I L, L B, rectis K M,
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M E, æquales ſunt; </
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<
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tinentq́ue angulos ad
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L, M, æquales, ob æ-
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qualitatẽ arcuũ A B,
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D E; </
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I B, K E, æquales.
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Quamobrem cum la-
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tera G I, I B, lateri-
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bus H K, K E, æqua-
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lia ſint, contineantq́;
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<
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æquales, nimirum rectos, ex defin. </
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quales. </
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ex G, H, in plana circulorum A B C, D E F, demiſſæ cadant in puncta A, D,
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vt in tertia figura. </
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<
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ob æquales arcus A G, D H, & </
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pote rectos, ex defin. </
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<
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<
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<
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in diametris circulorum æqualium, æqualia ſegmenta, &</
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dendum.</
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tur maximi circuli, qui vnum quidem parallelo-
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rum tangant, reliquos vero ſecent; </
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parallelorum interceptæ inter eos maximorum
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circulorum ſemicirculos, qui non concurrunt,
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ſimiles erunt; </
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<
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cunferentiæ inter duos quoſcunque parallelos in-
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terceptæ, erunt æquales.</
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<
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habebunt, nempe I. </
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A B, in punctis A, B, & </
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N H K. </
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