Looking at the 340B CG envelope
we can see several sloping CG limit lines shown in the next graphic as red overlays.
If we look at the IU equivalent to the first graphic, we get
(Note that the IU envelope uses a suitable trim datum and entry IU shift in the normal manner).
The sloping lines in the first graphic are the ones which, for the IU (or moment) presentation, convert to quadratic curves. This is shown in the following graphic.
The correct curves (quadratics) are overlaid in blue.
For the forward limit lines, a straight line representation (green line) is
INSIDE the envelope and is conservative. If we use the straight line, we choose to forego a section of the usable envelope shown as green hatching.
However, for the aft limit lines, this is not the case.
Specifically, for the higher weight limit line, the change in CG is small and the curvature is so slight as to be indistinguishable from a straight line. It would be reasonable (although not strictly correct) to represent this limit as a straight line.
The lower weight line, very clearly, is a curve. If we were to use a straight line to represent this curve, the straight line, very obviously, is
OUTSIDE the envelope and non-conservative. If we were to do this, we could end up in the red hatched region and outside the approved envelope. Therefore, this curve must NOT be represented as a straight line.
In summary,
(a) if, on the WT x CG envelope, (sloping) straight lines slope towards the middle of the envelope as weight increases, then those lines may be represented as straight lines on the WT x IU envelope.
(b) if, on the WT x CG envelope, (sloping) straight lines slope away from the middle of the envelope as weight increases, then those lines may NOT be represented as straight lines on the WT x IU envelope (unless the CG change is sufficiently small that the curvature of the quadratic itself is sufficiently small as to be indistinguishable from a straight line).