The flyer swings out and hooks their knees on the bar. As they swing back towards the platform, two people lean out and catch the flyer's arms, holding them suspended between the platform and the fly bar. Once they let go, the flyer then swings away hanging from their knees (and can make a catch etc.). This trick is also possible to achieve without the two extra people, by just grabbing the platform supports.
You can find out more about this trick in my books: