Lofting to a Line

Hi

I'm a novice Solidworks user, so please be kind.

With regard to lofting, I can loft between different profiles, and loft to a point, but how do I loft to a line?

I'm trying to model a radial detent position (radial male and female 'V'  forms) on a large die-cast hinge, and need to end the loft on the  centre line of the hinge pivot.

A simple analogy is a slice of pie: at the one end is a rectangular form and at the other end is a knife edge (line).

I've suceeded in projecting the required form back to an offset plane  and running the loft from the plane to a centre line point, then cutting  the excess material away with an extruded cut, but although the form is  correct, I'm loosing contact area toward the centre of the form because  it's lofted to a point.  I need to increase the height of the V's in the centre of the pivot to that on the outside, which means lofting to a line equal to the depth of the V form.


Thanks in anticipation
Dave R

SolidworksParts And Features