Angled Clip Plane

i have some problem with a clipping plane. when i placed 2 plane with angle, it only remove material from one side only

for example:

i want to achieve to get the center only, but
when i try to flip these planes, it behave like this

and like these

i think one part of material is positive to a plane, but negative to another plane so the rule kinda overlaping.

To be clear, you want to render the green part of this image and clip the white parts, is that correct?

yes, the green part