Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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munis fectio circulorum diameter erit circuli maximi A C B; </
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ſphæræ. </
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">Quoniamverò circulus maximus A C B, circulum A B, per polos ſe-
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cans ſecat bifariam, erit quoq; </
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ac proinde cum & </
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ra ergo ſit circulus, à cuius polo, &</
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<
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metro circuli cuiuſlibetin ſphæra dati.</
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<
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">IN ſphæra ſit datus circulus quilibet A B C D, cuius diametro rectam
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æqualem oporteat deſcribere. </
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li vtcunq; </
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">iunctis rectis A B, A D, B D, conſtituatur triangulo
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A B D, triangulum æquale E F G, ita vt latus E F, lateri A B, & </
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primi.</
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A D, & </
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le ſit. </
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tur ad rectas E F, E G, perpen
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diculares F H, G H, coeuntes
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in H, connectaturq́; </
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</
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tro circuli A B C D. </
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diam etro A C, iungatur recta
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D C. </
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anguli quadrilateri E F H G,
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quatuor rectis æquales ſunt,
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primi.</
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ſuntq́; </
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</
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ctis æquales; </
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uerſo duobus rectis æqua les erunt. </
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tertij.</
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teſt: </
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da E G, inſiſtentes, æquales. </
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lis; </
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ſis E G, baſi A D, ex conſtructione: </
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lis eſt. </
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ctus angulus E G H, angulo A D C, æqualis, quòd hic quoque rectus ſit in ſe-
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micirculo A D C, exiſtens. </
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duobus angulis æquales habent, necnon & </
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lium angulorum vni ſubtenditur, æquale. </
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æquale erit. </
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<
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circuli A B C D. </
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<
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metro datæ ſphæræ.</
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