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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,9
Ἐπεζεύχθωσαν γὰρ αἱ ΑΒ, ΒΓ καὶ τετμήσθωσαν δίχα κατὰ τὰ Ε, Ζ σημεῖα, καὶ ἐπιζευχθεῖσαι αἱ ΕΔ, ΖΔ διήχθωσαν ἐπὶ τὰ Η, Κ, Θ, Λ σημεῖα.
Pic2521
eng
For let AB, BC be joined and bisected at the points E, F, and let ED, FD be joined and drawn through to the points G, K, H, L.
lat Sic
Copulentur enim recte AB, BG et dividantur per equalia secundum puncta E, Z. Et copulate recte ED, ZD protrahantur in puncta I, K, T, L.
lat Gerard
Probatio huius: Quoniam coniungam D cum B et B cum E protrahendo lineas DB, BE et dividam lineas DB et BE quamque videlicet earum in duo media in punctis H et Z. Et copulabo punctum Z puncto G et punctum H puncto G et protraham lineas GZ et GH in duas partes ad lineam circuli circumductam ad puncta A et T et K er M.
lat Adelard 49r
Rationis causa: Si enim iungatur D cum B et B cum H dividanturque due linee in duo media DB et BH supra puncta duo H et Z. Iungaturque Z cum G et H cum G protrahanturque GZ et GH in duas partes diversas usque ad circumferentiam,
lat Hermann 20v
applicabimus E cum B et B cum D, deinde super EB lineam descendet alia recta AB M per G usque ad K secans eam per medium ad punctum H. Similiter alia AB A per G usque ad T deducta secet BD lineam ad punctum H.
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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