Detection auxiliary body for the geometric detection of the implantation position and the implantation site of a tooth implant, comprising: - a receiving section by means of which the detection body can be assigned to a tooth implant in a geometrically defined manner, - a detection section connected to the receiving section which is designed to be detected by a contactless image detection device, - wherein the detection section extends proceeding from the receiving section in an extension direction, has a first flat detection surface, whose surface normal is perpendicular to the extension direction of the detection section and has a curved detection surface, - wherein the detection section is designed as a cylindrical base body, whose central longitudinal axis corresponds to the extension direction of the detection section and in whose outer surface the first flat detection surface is designed as a surface represented as a secant in its cross-section and on whose front side end is designed a second detection surface, characterised in that - the detection section has a second flat detection surface, whose surface normal is perpendicular to the extension direction of the detection section and which is arranged in relation to a cross-section perpendicular to the extension direction of the detection section in a different angular range about the extension axis of the detection section than the first flat detection surface, and - a channel for receiving a screw to fasten the detection auxiliary body on an implant extends through the detection section and the receiving section, wherein the channel is designed with a recess serving as a counter bearing for a screw head. - a receiving section by means of which the detection body can be assigned to a tooth implant in a geometrically defined manner, - a detection section connected to the receiving section which is designed to be detected by a contactless image detection device, - wherein the detection section extends proceeding from the receiving section in an extension direction, has a first flat detection surface, whose surface normal is perpendicular to the extension direction of the detection section and has a curved detection surface, - wherein the detection section is designed as a cylindrical base body, whose central longitudinal axis corresponds to the extension direction of the detection section and in whose outer surface the first flat detection surface is designed as a surface represented as a secant in its cross-section and on whose front side end is designed a second detection surface, - the detection section has a second flat detection surface, whose surface normal is perpendicular to the extension direction of the detection section and which is arranged in relation to a cross-section perpendicular to the extension direction of the detection section in a different angular range about the extension axis of the detection section than the first flat detection surface, and - a channel for receiving a screw to fasten the detection auxiliary body on an implant extends through the detection section and the receiving section, wherein the channel is designed with a recess serving as a counter bearing for a screw head.