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106. On this principle the perfect imperative is used in mathematical language, to imply that something is to be considered as proved or assumed once for all, or that lines drawn or points fixed are to remain as data for a following demonstration. E.g. “Εἰλήφθω ἐπὶ τῆς ΑΒ τυχὸν σημεῖον τὸ Δ, καὶ ἀφῃρήσθω ἀπὸ τῆς ΑΓ τῇ ΑΔ ἴση ΑΕ” “let any point D be assumed as taken in the line AB, and AE, equal to AD, as cut off from AC.” EUCL. i. 9

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