A method for displaying continuous lines on a raster-based display appliance, with a continuous line being defined by a sequence of two-dimensional support points v1 and v2 and a
line width w, and with a rectangle 1, which connects the support points v1, v2, having a rectangle length predetermined by the distance between the support points v1, v2 and having a rectangle width predetermined by the
line width w being displayed between two support points v1, v2. The method provides that a triangle sequence 6, which covers a gap 5 between the rectangles 1, 2, is displayed between two successive rectangles 1 and 2 whose alignment with respect to one another is at an angle α≧α0. The triangle sequence 6 includes a plurality of triangles which each have the
support point v2, which connects the successive rectangles 1, 2, as a common corner point. A connecting triangle 7 is in each case displayed between the rectangle 1 and the triangle sequence 6 and between the triangle sequence 6 and the subsequent rectangle 2, the corner points of which connecting triangle 7 are the two corner points, which face the triangle sequence 6, of the rectangle 1, and of the subsequent rectangle 2 and the connecting
support point v2. The corner points of the triangle sequence 6 are predetermined as a function of the angle α between the alignment of the successive rectangles 1, 2.