A jewel

I think this is probably a Brilliant Emerald (Somatochlora metallica), but please correct me if you know better!

Yes, it's flying, and no, it's not easy to get a shot like this. The right hardware makes a real difference though, an SLR of some sort, a long lens, and plenty of light all would help a great deal. Most compact cameras can't focus fast enough, and/or don't offer enough control over the focus; shutter lag is also a problem. A long lens is required, as they fly all over the place, and rarely come close when on the wing. Finally you need a lot of light to come close to freezing the wingtips, and get enough depth-of-field.

Something I hadn't noticed before taking photographs of this one are their stunning eyes, they form a kaleidoscope of colours. I suspect this is due to the flash I was using to light the shot, but I've never seen it before with any other species.

I had to chuckle today, I heard someone specify "a round circle"; what, you mean you don't want one of those pesky square circles we're all familiar with, right? ;)