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bn:02450045n
Noun Concept
Categories: Theorems about triangles and circles
EN
Carnot's theorem  Carnot's law  Carnot theorem
EN
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 D F + D G + D H = R + r, {\displaystyle DF+DG+DH=R+r,\ } where r is the inradius and R is the circumradius of the triangle. Wikipedia
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EN
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 D F + D G + D H = R + r, {\displaystyle DF+DG+DH=R+r,\ } where r is the inradius and R is the circumradius of the triangle. Wikipedia
Describing a property of the incircle and the circumcircle of a triangle Wikipedia Disambiguation
gives the sum of the distances from the circumcenter to the sides of an arbitrary triangle Wikidata
IS A
theorem
PART OF
elementary geometry
DIFFERENT FROM
Carnot's theorem
NAMED AFTER
Lazare Carnot
STATEMENT DESCRIBES
triangle
Wikipedia
EN
Carnot's theorem (inradius, circumradius)
Wikidata
EN
Carnot's theorem
Wikipedia Redirections
EN
Carnot's law, Carnot's Theorem, Carnot's theorem (inradius and circumradius), Carnot theorem

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