Thor, I don't know that your folded Curve would fit. The Brompton only fits with the saddle turned as shown in the picture I've attached. There is very little room for error on either side. The photo is meant to show you how the bike looks as it disappears into the machine, wheels first.

To be perfectly clear, with the saddle pointing forward in the usual way, the Brompton will not fit through the screening machine. You must tilt the saddle to the side as shown; another option is removing it entirely and chucking it into the T-bag, but I don't bother. I must be the only person who feels this way, but it's just a saddle; it's got scuff marks already and it's going to get more.

So that's your bounding box. If you can find any dimension of the Curve which will fit in that envelope, you're good to go.