Carnot's theorem or Carnot's principle may refer to:
In geometry:
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Carnot's theorem (inradius, circumradius)
In Euclidean geometry, Carnot's theorem states 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'' is the circumradiu ...
, describing a property of the incircle and the circumcircle of a triangle
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Carnot's theorem (conics)
Carnot's theorem (named after Lazare Carnot) describes a relation between conic sections and triangle
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'' ...
, describing a relation between triangles and conic sections
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Carnot's theorem (perpendiculars)
Carnot's theorem (named after Lazare Carnot) describes a necessary and sufficient condition for three lines that are perpendicular to the (extended) sides of a triangle having a common point of intersection. The theorem can also be thought of as ...
, describing a property of certain perpendiculars on triangle sides
In physics:
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Carnot's theorem (thermodynamics)
In thermodynamics, Carnot's theorem, developed in 1824 by Nicolas Léonard Sadi Carnot, also called Carnot's rule, is a principle that specifies limits on the maximum efficiency that any heat engine can obtain.
Carnot's theorem states that all h ...
, setting a maximum efficiency obtainable from a heat engine
See also
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Carnot cycle
A Carnot cycle is an ideal thermodynamic cycle proposed by French physicist Sadi Carnot in 1824 and expanded upon by others in the 1830s and 1840s. By Carnot's theorem, it provides an upper limit on the efficiency of any classical thermodynam ...
, in thermodynamics
{{disambiguation