Inner joint part of a tripod constant velocity joint, comprising a hub having a rotation axis and three projections, which outwardly extend from the hub in a radial direction, and have a transition region, which adjoins the hub, and a bearing region, wherein the following applies: - each projection has a longitudinal axis and in the bearing region a crowned circumferential face; - the inner joint part has a first plane which comprises all longitudinal axes of the projections and is defined so as to be perpendicular to the rotation axis; characterized in that - the crowned circumferential face of each projection forms a first surface line which runs in the first plane, wherein at a height along the longitudinal axis, at which a maximum diameter of the projection is present, an inner sphere having an inner sphere radius is predefined, the midpoint of said inner sphere lying on the longitudinal axis at the point of the height, and said inner sphere contacting the opposite contact points of the first surface line; - the first surface line of each projection runs at least in first angular ranges which in each case are adjacent to the respective contact point and which are outside the inner sphere, wherein each first angular range emanates from the midpoint of the inner sphere and in each case extends to at maximum 20 angular degrees to both sides of the respective contact point; - a second surface line of the crowned circumferential face of each projection is present in a second plane, wherein the second plane is disposed so as to be perpendicular to the first plane and contains the longitudinal axis of the respective projection; and - the second surface line touches the inner sphere only at the height of the maximum diameter of the projection in touch points, and runs at least in second angular ranges which in each case are adjacent to the respective touch point and which are within the inner sphere, wherein each second angular range emanates from the midpoint of the inner sphere and in each case extends to at maximum 35 angular degrees to both sides of the respective touch point; - wherein the first surface line is referred to for defining an inner sphere having an unequivocally determined inner sphere radius; wherein the inner sphere which is referred to here for describing the contour of the projection serves in the comparison with a spherical shape of the projection from which it is presently deviated; wherein the maximum diameter in the first plane may deviate from the maximum diameter of the projection in the second plane by a minor dimension, such that a cross section through the projection in a third plane is shaped in a slightly elliptical manner, wherein the third plane is oriented so as to be perpendicular to both the longitudinal axis of the respective projection as well as to the first plane. - each projection has a longitudinal axis and in the bearing region a crowned circumferential face; - the inner joint part has a first plane which comprises all longitudinal axes of the projections and is defined so as to be perpendicular to the rotation axis; - the crowned circumferential face of each projection forms a first surface line which runs in the first plane, wherein at a height along the longitudinal axis, at which a maximum diameter of the projection is present, an inner sphere having an inner sphere radius is predefined, the midpoint of said inner sphere lying on the longitudinal axis at the point of the height, and said inner sphere contacting the opposite contact points of the first surface line; - the first surface line of each projection runs at least in first angular ranges which in each case are adjacent to the respective contact point and which are outside the inner sphere, wherein each first angular range emanates from the midpoint of the inner sphere and in each case extends to at maximum 20 angular degrees to both sides of the respective contact point; - a second surface line of the crowned circumferential face of each projection is present in a second plane, wherein the second plane is disposed so as to be perpendicular to the first plane and contains the longitudinal axis of the respective projection; and - the second surface line touches the inner sphere only at the height of the maximum diameter of the projection in touch points, and runs at least in second angular ranges which in each case are adjacent to the respective touch point and which are within the inner sphere, wherein each second angular range emanates from the midpoint of the inner sphere and in each case extends to at maximum 35 angular degrees to both sides of the respective touch point; - wherein the first surface line is referred to for defining an inner sphere having an unequivocally determined inner sphere radius; wherein the inner sphere which is referred to here for describing the contour of the projection serves in the comparison with a spherical shape of the projection from which it is presently deviated; wherein the maximum diameter in the first plane may deviate from the maximum diameter of the projection in the second plane by a minor dimension, such that a cross section through the projection in a third plane is shaped in a slightly elliptical manner, wherein the third plane is oriented so as to be perpendicular to both the longitudinal axis of the respective projection as well as to the first plane.