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extruding from curved surface help


New member
Is there any way to extrude from a curved surface?
I have tried using project curve and then extruding the projection. I am unable to convert entities of the projection as well.

I have been able to extrude from an inserted plane and then use offset entities from the desired curved surface to cut the surface of the extrusion. (The end result of this method can be pictured as an extrusion of a curved surface which is what I'm attempting to do in the first place) I can achieve the desired result but seem to be jumping thru hoops to do it.

Thanks for your help