Pipe connection for connecting an in particular metallic thin-walled pipeline, comprising - a pipeline having a formed connection portion which emanating from the connection end thereof increases in a truncated-cone shaped manner at a cone angle α and there on the outer circumferential face thereof forms an encircling sealing face and, adjoining thereto, has a shoulder having a locating face, - and a connector port (20a, 20b, 20c) having a connector thread (25a, 25c) and a connector bore (23a, 23b, 23c) which emanating from the opening thereof decreases in a truncated-cone shaped manner at a cone angle α' which is adapted to the cone angle α of the connection portion in the region of the sealing face and there on the inner circumference forms an encircling connector face (27a, 27b, 27c) for bearing on the sealing face, - and a collar screw part (10a, 10c) having a tension thread (13a, 13c) and having a through opening which on the inner circumference has an encircling tension face (15a, 15c) for bearing on the locating face, wherein the connection portion from the shoulder up to the original pipe circumference decreases in a truncated-cone shaped manner at a cone angle β and there on the outer circumferential face thereof forms the encircling locating face, and the through opening of the collar screw part (10a, 10c) adjoining the tension thread (13a, 13c) decreases in a truncated-cone shaped manner at a cone angle β' which is adapted to the cone angle (3 of the connection portion in the region of the locating face and there on the inner circumference forms the encircling tension face (15a, 15c) for bearing on the locating face, characterized in that the cone angle α of the connection portion in the region of the sealing face, and the cone angle α' of the connector bore (23a, 23b, 23c) in the region of the connector face (27a, 27b, 27c) are 38° to 50°, the cone angle β of the connection portion in the region of the locating face, and the cone angle β' of the through opening in the region of the tension face (15a, 15c) is larger than the cone angle α of the connection portion in the region of the sealing face by at least 90° and also the shoulder has a height which is 0.5 mm to 5 mm, in particular 0.5 mm to 3 mm, and preferably 1 mm to 2 mm, and the shoulder preferably directly adjoins the sealing face. - a pipeline having a formed connection portion which emanating from the connection end thereof increases in a truncated-cone shaped manner at a cone angle α and there on the outer circumferential face thereof forms an encircling sealing face and, adjoining thereto, has a shoulder having a locating face, - and a connector port (20a, 20b, 20c) having a connector thread (25a, 25c) and a connector bore (23a, 23b, 23c) which emanating from the opening thereof decreases in a truncated-cone shaped manner at a cone angle α' which is adapted to the cone angle α of the connection portion in the region of the sealing face and there on the inner circumference forms an encircling connector face (27a, 27b, 27c) for bearing on the sealing face, - and a collar screw part (10a, 10c) having a tension thread (13a, 13c) and having a through opening which on the inner circumference has an encircling tension face (15a, 15c) for bearing on the locating face, wherein the connection portion from the shoulder up to the original pipe circumference decreases in a truncated-cone shaped manner at a cone angle β and there on the outer circumferential face thereof forms the encircling locating face, and the through opening of the collar screw part (10a, 10c) adjoining the tension thread (13a, 13c) decreases in a truncated-cone shaped manner at a cone angle β' which is adapted to the cone angle (3 of the connection portion in the region of the locating face and there on the inner circumference forms the encircling tension face (15a, 15c) for bearing on the locating face,