Proposition 45
Construction
To construct a parallelogram equal to a given polygon, and having an angle equal to a given angle.
Construction Steps
Original statement
τῷ δοθέντι ϵὐθυγράμμῳ ἴσον παραλληλόγραμμον συστήσασθαι ἐν τῇ δοθϵίσῃ γωνίᾳ ϵὐθυγράμμῳ.
English translation
To construct, in a given rectilinear angle, a parallelogram equal to a given rectilinear figure.