The above link pretty much answers everything. Please, skim the first two pages before replying. It explains why 'curve of pursuit' is the wrong strategy, how t

The above link pretty much answers everything. Please, skim the first two pages before replying. It explains why 'curve of pursuit' is the wrong strategy, how the lion can win if the tamer stays on the circumference, why the tamer should not stay on the circumference, and how to make this all mathematically rigorous.