Method of Sections: Ignored Forces?

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In the above example, the method of sections is used to solve the truss. However, they do not consider the forces in other beams (the beams that are not being cut; e.g. AB, AH). Is this always the case with this method?
 
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mfb said:
There are no external forces coming from those beams.

I understand but why are we not considering the internal forces eg force AH (like we are considering the internal force HG)
 
HG is not an internal force in this part. That's the idea - split the whole constructions in smaller parts. Some splittings work, some do not, this is a working one.