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Euclid: Elementa

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Euclid: Elementa
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Euc
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gre ΙΙI,20
διὰ τὰ αὐτὰ δὴ καὶ ἡ ὑπὸ ΖΕΓ τῆς ὑπὸ ΕΑΓ ἐστι διπλῆ.
Pic2532
eng
For the same reason the angle FEC is also double of the angle EAC.
lat Sic
Propter eadem ergo et qui sub ZEG eius qui sub EAG est duplus.
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius
DEINDE non includant rectae AB, AC, rectas DB, DC, sed AB, per centrum extendatur. Quoniam igitur externus angulus BDC,1 aequalis est duobus internis DAC, DCA. Hiautem duo2 inter se sunt aequales, quod latera DA, DC sint aequalia; erit angulus BDC, duplus alterius corum, nempe anguli BAC. Quod est propositum.
Pic3405
1. 32. primi. 2. 5. primi.
kin 幾何原本
次論分圜角、不在乙甲、甲丙之內、而甲乙線過丁心者、曰。如下圖。依前論、推顯乙丁丙外角。等於內相對之丁甲丙、丁丙甲、兩角幷。一卷卅二而丁甲、丁丙、兩腰等。卽甲、丙、兩角亦等。一卷五則乙丁丙角。倍大於乙甲丙角。
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