Two circle problems

A year or so ago I got shown a geometry problem involving 3 circles. Easy to solve. Yesterday, I saw a similar version of it, with just a single change. It was still easy to solve. Unfortunately, in both cases, both chat-based AIs (Gemini and ChatGPT) failed to solve it. Despite a year or so of progress, the fact that the problem needed a specific first step still confused the models. Read more...