three points isosceles

warut_suk

Each point of a circle is painted with one of three colours. Prove that there exist three points on the circle which have the same colour and are vertices of an isosceles triangle.

**Posted:** Mon Jan 17, 2005 3:34 am

grobber

See this discussion. It works for finitely many colors, no matter how many (in this case, we have three).

**Posted:** Mon Jan 17, 2005 3:37 am

warut_suk

Thanks, but are there any other ways?

**Posted:** Tue Jan 18, 2005 4:52 am

Myth

**Posted:** Sun Jan 23, 2005 11:47 pm

_________________
Myth is out of here

grobber

I attempted something there. Visit that thread again, and tell me what you think.

**Posted:** Mon Jan 24, 2005 1:21 am