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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
Click to Expand/Collapse OptionBook IV
Click to Expand/Collapse OptionBook V
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Click to Expand/Collapse OptionBook ΙΧ
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gre ΙΙI,8
ἐλαχίστη μὲν ἄρα ἡ ΔΗ, ἐλάττων δὲ ἡ μὲν ΔΚ τῆς ΔΛ ἡ δὲ ΔΛ τῆς ΔΘ.
Pic2520
eng
therefore DG is least, while DK is less than DL, and DL than DH.
lat Sic
Itaque minima quidem DI, minor vero DK quidem quam DL, DL vero quam DT.
lat Gerard
Longior ergo lineis que ad interiora circuli producuntur est linea GD que per centrum transit. Sed brevior eis que sunt exterius est linea GB que coniungit quod est inter punctum et diametri extremitatem. Aliis autem lineis que circulum intrantes per ipsum transeunt longior est que centro magis est propinqua. Linea ergo GE linea GZ et linea GZ linea GA longior existit. Lineis quoque que sunt extra circulum que linee minori GB vicinior invenitur brevior est ea que ab ea magis est remota, scilicet, linea KG linea LG brevior invenitur et linea LG linea TG existit minor.
lat Adelard
Linearum itaque per circulum transeuntium longissima GD supra centrum means. Extrinsecarum vero minima que inter punctum et diametrum GH. Omnes vero alie linee extrinsece centro propinquiores remotioribus longiores: GH longior GZ et GZ longior GA. Linee vero extrinsece propinquiores linee GH remotioribus breviores: KG brevior LG et LG brevior GT.
lat Hermann
No Latin
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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