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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
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gre ΙΙI,16
Μὴ γάρ, ἀλλ᾽ εἰ δυνατόν, πιπτέτω ἐντὸς ὡς ἡ ΓΑ, καὶ ἐπεζεύχθω ἡ ΔΓ.
Pic2528
eng
For suppose it does not, but, if possible, let it fall within as CA, and let DC be joined.
lat Sic
Non enim, sed si possibile, cadat interius ut recta GA et copuletur recta DG.
lat Gerard
Probatio huius: Neque est possibile nisi hoc. Qupd si aliter possibile fuerit, cadat ergo intra circulum secundum similitudinem linee DA. Sitque centrum circuli E et protrahatur linea EA,
lat Adelard 50r
Aliter enim esse impossibile est. Quod si est possibile, infra circulum cadat sitque DA. Sit autem circuli centrum H iungaturque A cum H.
lat Hermann 21v
Huiusmodi igitur linea si intra circulum eadem poterit, procedat ab eodem puncto ortogonaliter linea per circulum usque ad A applicetque A cum E.
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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