Are there any hints or solutions to the page 180 problem?
Fox chasing rabbit inside circular cage, both have equal speed. Will fox always catch the rabbit?

Thanks,
Philip

I found the answer (thanks to N.F.) but the solution gives me a headache. I would strongly encourage 99% of the readers of the book to not spend time on this problem.

Answer seems to be: rabbit can keep escaping forever. The original problem is worded as lion chasing a man.
For a very terse proof see Littlewood's "A Mathematicians Miscellany".

Best regards,
Philip