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- GEOS_circle abstract "In geometry, the GEOS circle is derived from the intersection of four lines that are associated with a generalized triangle: the Euler line, the Soddy line, the orthic axis and the Gergonne line. Note that the Euler line is orthogonal to the orthic axis and that the Soddy line is orthogonal to the Gergonne line.These four lines provide six points of intersection of which two points occur at line intersections that are orthogonal. Consequently the other four points form an orthocentric system.The GEOS circle is that circle centered at a point equidistant from X650 (the intersection of the orthic axis with the Gergonne line) and X20 (the intersection of the Euler line with the Soddy line and is known as the de Longchamps point) and passes through these points as well as the two points of orthogonal intersection.The orthogonal intersection points are X468 (the intersection of the orthic axis with the Euler line) and X1323 (the Fletcher point, the intersection of the Gergonne line with the Soddy line).The orthocentric system comprises X650, X20, X1375 (the intersection of the Euler line with the Gergonne line and is known as the Evans point) and X3012 (the intersection of the Soddy line and the orthic axis).The X(i) point notation is the Clark Kimberling ETC classification of triangle centers.".
- GEOS_circle thumbnail GEOS_circle_overview.svg?width=300.
- GEOS_circle wikiPageID "8188593".
- GEOS_circle wikiPageLength "1722".
- GEOS_circle wikiPageOutDegree "17".
- GEOS_circle wikiPageRevisionID "620366754".
- GEOS_circle wikiPageWikiLink Category:Circles.
- GEOS_circle wikiPageWikiLink Category:Triangle_geometry.
- GEOS_circle wikiPageWikiLink Central_line_(geometry).
- GEOS_circle wikiPageWikiLink De_Longchamps_point.
- GEOS_circle wikiPageWikiLink Encyclopedia_of_Triangle_Centers.
- GEOS_circle wikiPageWikiLink Euler_line.
- GEOS_circle wikiPageWikiLink Evans_point.
- GEOS_circle wikiPageWikiLink Fletcher_point.
- GEOS_circle wikiPageWikiLink Geometry.
- GEOS_circle wikiPageWikiLink Gergonne_line.
- GEOS_circle wikiPageWikiLink Orthic_axis.
- GEOS_circle wikiPageWikiLink Orthocentric_system.
- GEOS_circle wikiPageWikiLink Orthogonal.
- GEOS_circle wikiPageWikiLink Orthogonality.
- GEOS_circle wikiPageWikiLink Soddy_line.
- GEOS_circle wikiPageWikiLink Triangle.
- GEOS_circle wikiPageWikiLink File:GEOS_circle.svg.
- GEOS_circle wikiPageWikiLink File:GEOS_circle_overview.svg.
- GEOS_circle wikiPageWikiLinkText "GEOS circle".
- GEOS_circle hasPhotoCollection GEOS_circle.
- GEOS_circle title "GEOS Circle".
- GEOS_circle urlname "GEOSCircle".
- GEOS_circle wikiPageUsesTemplate Template:Elementary-geometry-stub.
- GEOS_circle wikiPageUsesTemplate Template:Mathworld.
- GEOS_circle wikiPageUsesTemplate Template:Portal.
- GEOS_circle subject Category:Circles.
- GEOS_circle subject Category:Triangle_geometry.
- GEOS_circle comment "In geometry, the GEOS circle is derived from the intersection of four lines that are associated with a generalized triangle: the Euler line, the Soddy line, the orthic axis and the Gergonne line. Note that the Euler line is orthogonal to the orthic axis and that the Soddy line is orthogonal to the Gergonne line.These four lines provide six points of intersection of which two points occur at line intersections that are orthogonal.".
- GEOS_circle label "GEOS circle".
- GEOS_circle sameAs m.026vmmh.
- GEOS_circle sameAs Q5513191.
- GEOS_circle sameAs Q5513191.
- GEOS_circle wasDerivedFrom GEOS_circle?oldid=620366754.
- GEOS_circle depiction GEOS_circle_overview.svg.
- GEOS_circle isPrimaryTopicOf GEOS_circle.