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- Ceva's_theorem abstract "Ceva's theorem is a theorem about triangles in Euclidean plane geometry. Given a triangle ABC, let the lines AO, BO and CO be drawn from the vertices to a common point O to meet opposite sides at D, E and F respectively. Then, using signed lengths of segments,In other words the length AB is taken to be positive or negative according to whether A is to the left or right of B in some fixed orientation of the line. For example, AF/FB is defined as having positive value when F is between A and B and negative otherwise.The converse is also true: If points D, E and F are chosen on BC, AC and AB respectively so that then AD, BE and CF are concurrent. The converse is often included as part of the theorem.The theorem is often attributed to Giovanni Ceva, who published it in his 1678 work De lineis rectis. But it was proven much earlier by Yusuf Al-Mu'taman ibn Hűd, an eleventh-century king of Zaragoza.Associated with the figures are several terms derived from Ceva's name: cevian (the lines AD, BE, CF are the cevians of O), cevian triangle (the triangle DEF is the cevian triangle of O); cevian nest, anticevian triangle, Ceva conjugate. (Ceva is pronounced Chay'va; cevian is pronounced chev'ian.)The theorem is very similar to Menelaus' theorem in that their equations differ only in sign.".
- Ceva's_theorem thumbnail Ceva's_theorem_1.svg?width=300.
- Ceva's_theorem wikiPageExternalLink books?id=r3ILAAAAYAAJ.
- Ceva's_theorem wikiPageExternalLink CevasTheorem.
- Ceva's_theorem wikiPageExternalLink JavaGSPLinks.htm.
- Ceva's_theorem wikiPageExternalLink finding-centroid-ceva.html.
- Ceva's_theorem wikiPageExternalLink glossary.html.
- Ceva's_theorem wikiPageExternalLink FG200121.pdf.
- Ceva's_theorem wikiPageExternalLink ceva.shtml.
- Ceva's_theorem wikiPageExternalLink TrigCeva.shtml.
- Ceva's_theorem wikiPageExternalLink kmath442.htm.
- Ceva's_theorem wikiPageID "152428".
- Ceva's_theorem wikiPageRevisionID "605488157".
- Ceva's_theorem hasPhotoCollection Ceva's_theorem.
- Ceva's_theorem title "Ceva's Theorem".
- Ceva's_theorem urlname "CevasTheorem".
- Ceva's_theorem subject Category:Affine_geometry.
- Ceva's_theorem subject Category:Articles_containing_proofs.
- Ceva's_theorem subject Category:Theorems_in_plane_geometry.
- Ceva's_theorem subject Category:Triangle_geometry.
- Ceva's_theorem type Abstraction100002137.
- Ceva's_theorem type Communication100033020.
- Ceva's_theorem type Message106598915.
- Ceva's_theorem type Proposition106750804.
- Ceva's_theorem type Statement106722453.
- Ceva's_theorem type Theorem106752293.
- Ceva's_theorem type TheoremsInPlaneGeometry.
- Ceva's_theorem comment "Ceva's theorem is a theorem about triangles in Euclidean plane geometry. Given a triangle ABC, let the lines AO, BO and CO be drawn from the vertices to a common point O to meet opposite sides at D, E and F respectively. Then, using signed lengths of segments,In other words the length AB is taken to be positive or negative according to whether A is to the left or right of B in some fixed orientation of the line.".
- Ceva's_theorem label "Ceva's theorem".
- Ceva's_theorem label "Satz von Ceva".
- Ceva's_theorem label "Stelling van Ceva".
- Ceva's_theorem label "Teorema de Ceva".
- Ceva's_theorem label "Teorema de Ceva".
- Ceva's_theorem label "Teorema di Ceva".
- Ceva's_theorem label "Théorème de Ceva".
- Ceva's_theorem label "Twierdzenie Cevy".
- Ceva's_theorem label "Теорема Чевы".
- Ceva's_theorem label "مبرهنة سيفا".
- Ceva's_theorem label "チェバの定理".
- Ceva's_theorem label "塞瓦定理".
- Ceva's_theorem sameAs Satz_von_Ceva.
- Ceva's_theorem sameAs Teorema_de_Ceva.
- Ceva's_theorem sameAs Théorème_de_Ceva.
- Ceva's_theorem sameAs Teorema_di_Ceva.
- Ceva's_theorem sameAs チェバの定理.
- Ceva's_theorem sameAs 체바의_정리.
- Ceva's_theorem sameAs Stelling_van_Ceva.
- Ceva's_theorem sameAs Twierdzenie_Cevy.
- Ceva's_theorem sameAs Teorema_de_Ceva.
- Ceva's_theorem sameAs m.013w3p.
- Ceva's_theorem sameAs Q213603.
- Ceva's_theorem sameAs Q213603.
- Ceva's_theorem sameAs Ceva's_theorem.
- Ceva's_theorem wasDerivedFrom Ceva's_theorem?oldid=605488157.
- Ceva's_theorem depiction Ceva's_theorem_1.svg.
- Ceva's_theorem isPrimaryTopicOf Ceva's_theorem.
