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Euclid: Elementa

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Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
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gre ΙΙI,14
Εἰλήφθω γὰρ τὸ κέντρον τοῦ ΑΒΓΔ κύκλου καὶ ἔστω τὸ Ε, καὶ ἀπὸ τοῦ Ε ἐπὶ τὰς ΑΒ, ΓΔ κάθετοι ἤχθωσαν αἱ ΕΖ, ΕΗ, καὶ ἐπεζεύχθωσαν αἱ ΑΕ, ΕΓ.
Pic2526
eng
For let the centre of the circle ABDC be taken [III. 1], and let it be E; from E let EF, EG be drawn perpendicular to AB, CD, and let AE, EC be joined.
lat Sic
Sumatur enim centrum circuli ABGD sitque E et ab E in rectas AB, GD catheti trahantur EZ, EI et copulentur AE, EG.
lat Gerard
Probatio huius: Quoniam ponam centrum circuli punctum H et protraham ab eo ad duas lineas GD; EZ duas perpendiculares sintque HT; HK et producam lineas HG; HE; HD; HZ.
lat Adelard 49v
Rationis causa: Extrahantur enim a centro H due perpendiculares duabus lineis DG et HZ sintque HT et HK iungaturque H cum G et H et D et Z.
lat Hermann 21r
ut a centro H descendant perpendiculares linee, que illas ad punctum T et K secent. Deinde applicabimus H cum E et Z et D et G.
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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