Few days ago I have been asking if somebody knows a way to compute missing parameters of barycentric coordinates out of for ex. "1/(b^2 + c^2 - a^2) : : ".
@Michael Rogers' solution does exactly what I was looking for. I got this by email through the Moderation Team:
NestList[ReplaceAll[{a -> b, b -> c, c -> a}], 1/(b^2 + c^2 - a^2), 2]
Just great. Thx a lot :)