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Euclid: Elementa

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Euclid: Elementa
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gre ΙΙI,20
Ἐν κύκλῳ ἡ πρὸς τῷ κέντρῳ γωνία διπλασίων ἐστὶ τῆς πρὸς τῇ περιφερείᾳ, ὅταν τὴν αὐτὴν περιφέρειαν βάσιν ἔχωσιν αἱ γωνίαι.
Pic2532
eng
In a circle the angle at the centre is double of the angle at the circumference, when the angles have the same circumference as base.
lat Sic
In circulo qui ad centrum angulus duplus est eius qui ad periferiam quando eandem periferiam basim habuerint anguli.
lat Gerard
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lat Adelard
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lat Hermann
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ara Uppsala
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ara Tuṣi
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ara Nairizi
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per Shirazi
.
san
No Sanskrit
lat Clavius p. 275
IN circulo, angulus ad centrum duplex est anguli ad peripheriam, cum fuerit eadem peripheria basis angulorum.
kin 幾何原本 p. 148
負圜角與分圜角。所負所分之圜分同。則分圜角、必倍大於負圜角。
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