Dear Francisco,

> These special cases are also cited in article by Pounder

> cited in Hyacinthos message #21039.

thank you very much.

By the way

Can you help me for the following equation?

a^7 b^2 - 3 a^5 b^4 - a^4 b^5 + 2 a^3 b^6 + a^2 b^7 - a^7 b c -

a^6 b^2 c + 4 a^5 b^3 c + 2 a^4 b^4 c - 4 a^3 b^5 c - 3 a^2 b^6 c -

a b^7 c + a^7 c^2 - 3 a^6 b c^2 + 7 a^4 b^3 c^2 + 7 a^3 b^4 c^2 -

a b^6 c^2 + b^7 c^2 + 2 a^6 c^3 - 4 a^5 b c^3 + 7 a^4 b^2 c^3 -

33 a^3 b^3 c^3 + 7 a^2 b^4 c^3 + 4 a b^5 c^3 - a^5 c^4 +

2 a^4 b c^4 + 7 a^3 b^2 c^4 + 7 a^2 b^3 c^4 + 2 a b^4 c^4 -

3 b^5 c^4 - 3 a^4 c^5 + 4 a^3 b c^5 - 4 a b^3 c^5 - b^4 c^5 -

a^2 b c^6 - 3 a b^2 c^6 + 2 b^3 c^6 + a^2 c^7 - a b c^7 + b^2 c^7 = 0

If a,b,c are triangle sides does it hold only for a = b = c ?

Best regards

Nikos Dergiades