Iextracted the wireframe of the surface, as well as 3 sections that i had traced into the original surface. With these curves I redrew the surface, with the command: _networksfr
Once the surfrace redrawn I offset it; _offsetsfr as a solid and in the interior direction
Then I extracted the wireframe of the solid surface, in order to have a 3 dimentional wirframe
Then I managed to trace the surfaces of the transversals, due to the thickness of the solid surface