Matches in DBpedia 2014 for { <http://dbpedia.org/resource/GEOS_circle> ?p ?o. }
Showing items 1 to 26 of
26
with 100 items per page.
- 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 wikiPageExternalLink ETC.html.
- GEOS_circle wikiPageID "8188593".
- GEOS_circle wikiPageRevisionID "590549838".
- GEOS_circle hasPhotoCollection GEOS_circle.
- GEOS_circle title "GEOS Circle".
- GEOS_circle urlname "GEOSCircle".
- GEOS_circle subject Category:Circles.
- GEOS_circle subject Category:Triangle_geometry.
- GEOS_circle type Abstraction100002137.
- GEOS_circle type Attribute100024264.
- GEOS_circle type Circle113873502.
- GEOS_circle type Circles.
- GEOS_circle type ConicSection113872975.
- GEOS_circle type Ellipse113878306.
- GEOS_circle type Figure113862780.
- GEOS_circle type PlaneFigure113863186.
- GEOS_circle type Shape100027807.
- 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 sameAs GEOS_circle.
- GEOS_circle wasDerivedFrom GEOS_circle?oldid=590549838.
- GEOS_circle isPrimaryTopicOf GEOS_circle.