Proposition 42
Construction
To construct a parallelogram equal to a given triangle, with one angle equal to a given angle.
Construction Steps
Original statement
τῷ δοθέντι τριγώνῳ ἴσον παραλληλόγραμμον συστήσασθαι ἐν τῇ δοθϵίσῃ γωνίᾳ ϵὐθυγράμμῳ.
English translation
To construct, in a given rectilinear angle, a parallelogram equal to a given triangle.