No, it won't. Both of those lenses are made for cameras with crop sensors. They are fisheye on crop sensor cameras, and on full frame cameras they will show the sides of the barrel of the lens.
the pro-optic 8mm (same lens, different name) on a crop sensor nikon:
and full frame:
As mentioned above, rectilinear means straight lines. If you are talking about putting a full frame fisheye on a crop sensor camera, you could call it a distorted wide-angle, I guess.