I think they both mean to observe the feeling without having to do anything about it. It's like saying "Huh, I feel angry. That's interesting..." instead of "I feel angry, I hate being angry, why do I always get angry!?" or, "I feel angry and whoever is responsible will PAY!!" One of the techniques to stay with a feeling and give it space is to notice how it shows up in your body. Like "Hmm, I feel angry. My throat feels tight and my face feels kind of hot. I notice that I am tensing my arms, blah blah..."

Did that help at all?