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- Routh's_theorem abstract "In geometry, Routh's theorem determines the ratio of areas between a given triangle and a triangle formed by the intersection of three cevians. The theorem states that if in triangle points , , and lie on segments , , and , then writing , , and , the signed area of the triangle formed by the cevians , , and is the area of triangle times This theorem was given by Edward John Routh on page 82 of his Treatise on Analytical Statics with Numerous Examples in 1896. The particular case has become popularized as the one-seventh area triangle. The case implies that the three medians are concurrent (through the centroid).".
- Routh's_theorem thumbnail Rouths_theorem_1.png?width=300.
- Routh's_theorem wikiPageExternalLink atreatiseonanal00routgoog.
- Routh's_theorem wikiPageExternalLink cu31924001080237.
- Routh's_theorem wikiPageExternalLink euclidselements01pottgoog.
- Routh's_theorem wikiPageExternalLink 1up.
- Routh's_theorem wikiPageExternalLink 1up.
- Routh's_theorem wikiPageExternalLink 1up.
- Routh's_theorem wikiPageExternalLink 1up.
- Routh's_theorem wikiPageExternalLink RouthsTheorem.
- Routh's_theorem wikiPageExternalLink kmath652.htm.
- Routh's_theorem wikiPageID "4639094".
- Routh's_theorem wikiPageRevisionID "568770987".
- Routh's_theorem hasPhotoCollection Routh's_theorem.
- Routh's_theorem title "Routh's Theorem".
- Routh's_theorem urlname "RouthsTheorem".
- Routh's_theorem subject Category:Affine_geometry.
- Routh's_theorem subject Category:Area.
- Routh's_theorem subject Category:Theorems_in_plane_geometry.
- Routh's_theorem subject Category:Triangle_geometry.
- Routh's_theorem type Abstraction100002137.
- Routh's_theorem type Communication100033020.
- Routh's_theorem type Message106598915.
- Routh's_theorem type Proposition106750804.
- Routh's_theorem type Statement106722453.
- Routh's_theorem type Theorem106752293.
- Routh's_theorem type TheoremsInPlaneGeometry.
- Routh's_theorem comment "In geometry, Routh's theorem determines the ratio of areas between a given triangle and a triangle formed by the intersection of three cevians. The theorem states that if in triangle points , , and lie on segments , , and , then writing , , and , the signed area of the triangle formed by the cevians , , and is the area of triangle times This theorem was given by Edward John Routh on page 82 of his Treatise on Analytical Statics with Numerous Examples in 1896.".
- Routh's_theorem label "Routh's theorem".
- Routh's_theorem label "Satz von Routh".
- Routh's_theorem label "Teorema de Routh".
- Routh's_theorem label "罗斯定理".
- Routh's_theorem sameAs Satz_von_Routh.
- Routh's_theorem sameAs Teorema_de_Routh.
- Routh's_theorem sameAs m.0cdz10.
- Routh's_theorem sameAs Q1789863.
- Routh's_theorem sameAs Q1789863.
- Routh's_theorem sameAs Routh's_theorem.
- Routh's_theorem wasDerivedFrom Routh's_theorem?oldid=568770987.
- Routh's_theorem depiction Rouths_theorem_1.png.
- Routh's_theorem isPrimaryTopicOf Routh's_theorem.
