Carnot's theorem

English 300px|right|thumb| Proper noun en thermodynamics A theorem for the maximum efficiency obtainable from a heat engine. en Carnot's law Carnot's rule en geometry 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. A theorem describing a relation between conic sections and triangles. 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. en eponyms