Coordinate measuring machine (20; 40) comprising a movable cross-beam, on which a further movable part of the coordinate measuring machine (20; 40) is movably guided, wherein • a measuring sensor for measuring coordinates of a workpiece is or can be fixed to the further movable part, • the cross-beam is supported on a base of the coordinate measuring machine via a first support and a second support (10; 19) spaced apart from the first support, • the cross-beam can be moved linearly relative to the base in a linear direction of movement, • the second support (10; 19) has a rotary joint (15; 50), which permits a rotation about an axis of rotation extending transversely with respect to the linear direction of movement, so that, during a rotation about the axis of rotation, a first part of the rotary joint (15; 50), which is connected to the cross-beam, is moved relative to a second part of the rotary joint (15; 50), and the second part of the rotary joint and/or a part of the second support that is connected to the second part of the rotary joint (15; 50) is also moved relative to the first part in the linear direction of movement in this case, • a part (11; 41) of the second support (10; 19), which is mounted such that it can be moved in the linear direction of movement and which is a part (11; 41) of the second support (10; 19) that is movably connected to the second part of the rotary joint (15; 50), is mounted by a movement bearing such that it can be moved relative to the base in the linear direction of movement, characterized in that • the first part of the rotary joint (15; 50) is firmly connected to the cross-beam, • the rotary joint is a first rotary joint, and the part (11; 41) of the second support that is mounted such that it can be moved in the linear direction of movement is rotatably connected to the second part of the first rotary joint via a second rotary joint, which permits a rotary movement about an axis of rotation extending transversely with respect to the linear direction of movement. • a measuring sensor for measuring coordinates of a workpiece is or can be fixed to the further movable part, • the cross-beam is supported on a base of the coordinate measuring machine via a first support and a second support (10; 19) spaced apart from the first support, • the cross-beam can be moved linearly relative to the base in a linear direction of movement, • the second support (10; 19) has a rotary joint (15; 50), which permits a rotation about an axis of rotation extending transversely with respect to the linear direction of movement, so that, during a rotation about the axis of rotation, a first part of the rotary joint (15; 50), which is connected to the cross-beam, is moved relative to a second part of the rotary joint (15; 50), and the second part of the rotary joint and/or a part of the second support that is connected to the second part of the rotary joint (15; 50) is also moved relative to the first part in the linear direction of movement in this case, • a part (11; 41) of the second support (10; 19), which is mounted such that it can be moved in the linear direction of movement and which is a part (11; 41) of the second support (10; 19) that is movably connected to the second part of the rotary joint (15; 50), is mounted by a movement bearing such that it can be moved relative to the base in the linear direction of movement, characterized in that • the first part of the rotary joint (15; 50) is firmly connected to the cross-beam, • the rotary joint is a first rotary joint, and the part (11; 41) of the second support that is mounted such that it can be moved in the linear direction of movement is rotatably connected to the second part of the first rotary joint via a second rotary joint, which permits a rotary movement about an axis of rotation extending transversely with respect to the linear direction of movement.