[Nate Laverdure]

1. Relabel the standard planes to minimize confusion later. Front is XY, Top is XZ, Right is YZ.
2. On the XY plane, sketch a circle with radius 1 centered at the origin.
3. Extrude this sketch along Z from the midplane to your specified extents.
4. Sketch a construction line on one of the standard planes; this will be the projection of your plane equation onto this plane. I used the XY plane. I imposed dimensions on this line (delta_x = 1, delta_y = .5) but you could make the line driven by a forumula instead if you desired.
5. Repeat the previous step on another of the standard planes. I used the XZ plane. delta_x = 1, delta_z = -1/sqrt(3).
6. Add a reference plane that is coincident to both of the construction lines drawn in the previous two steps.
7. Cut a section through the body at the reference plane.