Talk:Carnot's theorem (inradius, circumradius)

Mistake

This article is bad built and has no clear information.

Theres might be a confusion between the mathematical Carnot's theorem an th fisical Carnots theorem asosiated to the Carnot Cycle

Isn't there a mistake in this article? It states

Here the sign of the distances is taken positive if and only if the line segment OO_i lies completely inside the triangle.

Now we know that Carnot's theorem applies to all triangles, thus it applies to an obtuse angled triangle. While in the obtuse angled triangle all the segment's OO_A, OO_B and OO_C intersect with sides of the triangle or lie entirely outside. It would follow, that $R+r\leq 0$.

You're right, the text was mistaken; corrected and picture added for clarity Drirpeter (talk) 20:04, 30 December 2007 (UTC)

The original text should have stated: "Here the sign of the distances is taken negative if and only if the line segment OO_i lies completely outside the triangle." So the new formulation has been correct, however the use of the notation for the signed sum is inconsistent, as in the text DF+DG+DH stands for the signed sum whereas in the picture it does not. I'm fixing that now.--Kmhkmh (talk) 10:34, 27 March 2008 (UTC)