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- Carnot's_theorem abstract "In Euclidean geometry, Carnot's theorem, named after Lazare Carnot (1753–1823), is as follows. Let ABC be an arbitrary triangle. Then the sum of the signed distances from the circumcenter D to the sides of triangle ABC is where r is the inradius and R is the circumradius. Here the sign of the distances is taken negative if and only if the line segment DX (X = F, G, H) lies completely outside the triangle. In the picture DF is negative and both DG and DH are positive.Carnot's theorem is used in a proof of the Japanese theorem for concyclic polygons.".
- Carnot's_theorem thumbnail Carnot_theorem2.svg?width=300.
- Carnot's_theorem wikiPageExternalLink CarnotsTheorem.
- Carnot's_theorem wikiPageExternalLink carnot.shtml.
- Carnot's_theorem wikiPageExternalLink Carnot.shtml.
- Carnot's_theorem wikiPageID "309936".
- Carnot's_theorem wikiPageRevisionID "598355081".
- Carnot's_theorem hasPhotoCollection Carnot's_theorem.
- Carnot's_theorem title "Carnot's theorem".
- Carnot's_theorem urlname "CarnotsTheorem".
- Carnot's_theorem subject Category:Theorems_in_plane_geometry.
- Carnot's_theorem subject Category:Triangle_geometry.
- Carnot's_theorem type Abstraction100002137.
- Carnot's_theorem type Communication100033020.
- Carnot's_theorem type Message106598915.
- Carnot's_theorem type Proposition106750804.
- Carnot's_theorem type Statement106722453.
- Carnot's_theorem type Theorem106752293.
- Carnot's_theorem type TheoremsInPlaneGeometry.
- Carnot's_theorem comment "In Euclidean geometry, Carnot's theorem, named after Lazare Carnot (1753–1823), is as follows. Let ABC be an arbitrary triangle. Then the sum of the signed distances from the circumcenter D to the sides of triangle ABC is where r is the inradius and R is the circumradius. Here the sign of the distances is taken negative if and only if the line segment DX (X = F, G, H) lies completely outside the triangle.".
- Carnot's_theorem label "Carnot's theorem".
- Carnot's_theorem label "Satz von Carnot".
- Carnot's_theorem label "Stelling van Carnot".
- Carnot's_theorem label "Teorema de Carnot".
- Carnot's_theorem label "Théorème de Carnot".
- Carnot's_theorem label "Теоремы Карно".
- Carnot's_theorem label "مبرهنة كارنوت".
- Carnot's_theorem label "カルノーの定理 (幾何学)".
- Carnot's_theorem label "卡诺定理".
- Carnot's_theorem sameAs Satz_von_Carnot.
- Carnot's_theorem sameAs Teorema_de_Carnot.
- Carnot's_theorem sameAs Théorème_de_Carnot.
- Carnot's_theorem sameAs カルノーの定理_(幾何学).
- Carnot's_theorem sameAs 카르노의_정리.
- Carnot's_theorem sameAs Stelling_van_Carnot.
- Carnot's_theorem sameAs m.01t188.
- Carnot's_theorem sameAs Q1141747.
- Carnot's_theorem sameAs Q1141747.
- Carnot's_theorem sameAs Carnot's_theorem.
- Carnot's_theorem wasDerivedFrom Carnot's_theorem?oldid=598355081.
- Carnot's_theorem depiction Carnot_theorem2.svg.
- Carnot's_theorem isPrimaryTopicOf Carnot's_theorem.
