Carnot's theorem

English

$\begin{array}{cc}& DG+DH+DF\\ =& |DG|+|DH|+|DF|\\ =& R+r\end{array}$

Proper noun

1. Template:Lb A theorem for the maximum efficiency obtainable from a heat engine.

   Template:Syn

2. Template:Lb A theorem stating that the sum of the signed distances from the circumcenter D to the sides of an arbitrary triangle ABC is DF + DG + DH = R + r, where r is the inradius and R the circumradius of the triangle.
3. A theorem describing a relation between conic sections and triangles.
4. A theorem describing a necessary and sufficient condition for three lines that are perpendicular to the (extended) sides of a triangle having a common point of intersection.