A device for measuring a surface of a workpiece in the direction of the X-axis of a space having orthogonal X-Y-Z axes, the surface residing generally within an X-Y plane, the measuring device comprising: a pivot body movable relative to the workpiece surface in the direction of said X-axis; a ring body supported for pivoting relative to said pivot body about a pivot axis spaced from and substantially parallel to said X-axis, whereby said pivoting is configured to be in a limited angular range; and a measurement wheel rotatable about an axis of rotation fixed relative to said ring body and having a radius with respect to said axis of rotation, said axis of rotation being: within said limited angular range of parallel to said Y-axis, and spaced from the workpiece surface in the direction of the Z-axis by substantially said radius of said measurement wheel, whereby said measurement wheel is configured to roll along the workpiece surface when the workpiece and said pivot body move relative to one another in the direction of said X-axis, a base fixed in the direction of said Y-axis, wherein said pivot body is supported for limited movement relative to said base in a direction substantially parallel to said Y-axis, a first biasing member biasing said pivot body away from said base in a first direction substantially parallel to said Y-axis; and a second biasing member biasing said pivot body away from said base in a second direction substantially parallel to said Y-axis and opposite said first direction, characterized by a first biasing mechanism biasing said ring body toward pivoting relative to said pivot body in a first direction of rotation about said pivot axis; and a second biasing mechanism biasing said ring body toward pivoting relative to said pivot body in a second direction of rotation about said pivot axis, opposite said first direction of rotation. a pivot body movable relative to the workpiece surface in the direction of said X-axis; a ring body supported for pivoting relative to said pivot body about a pivot axis spaced from and substantially parallel to said X-axis, whereby said pivoting is configured to be in a limited angular range; and a measurement wheel rotatable about an axis of rotation fixed relative to said ring body and having a radius with respect to said axis of rotation, said axis of rotation being: within said limited angular range of parallel to said Y-axis, and spaced from the workpiece surface in the direction of the Z-axis by substantially said radius of said measurement wheel, whereby said measurement wheel is configured to roll along the workpiece surface when the workpiece and said pivot body move relative to one another in the direction of said X-axis, within said limited angular range of parallel to said Y-axis, and spaced from the workpiece surface in the direction of the Z-axis by substantially said radius of said measurement wheel, whereby said measurement wheel is configured to roll along the workpiece surface when the workpiece and said pivot body move relative to one another in the direction of said X-axis, a base fixed in the direction of said Y-axis, wherein said pivot body is supported for limited movement relative to said base in a direction substantially parallel to said Y-axis, a first biasing member biasing said pivot body away from said base in a first direction substantially parallel to said Y-axis; and a second biasing member biasing said pivot body away from said base in a second direction substantially parallel to said Y-axis and opposite said first direction, characterized by a first biasing mechanism biasing said ring body toward pivoting relative to said pivot body in a first direction of rotation about said pivot axis; and a second biasing mechanism biasing said ring body toward pivoting relative to said pivot body in a second direction of rotation about said pivot axis, opposite said first direction of rotation.