Where's the Amiga in the Amiga.
Not entirely sure what you're asking. If you're wondering how the A1/OS4 combo is related to the "classic" Amigas of yesteryear, it's via the OS which is built on the same architecture and source code.
If you mean in a legal sense, then good question. Amiga officially license OS4 (so it can use the Amiga name) and any hardware to run it (although they appear to have been curiously quiet on that matter recently). They don't own Eyetech or Hyperion, and don't have any direct involvement whatsoever.
