Statements (29)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:butter
gptkb:geometry |
gptkbp:alsoKnownAs |
Euler circle
Feuerbach circle nine-point circumference |
gptkbp:centerLiesOn |
gptkb:Euler_line
|
gptkbp:centralTo |
gptkb:nine-point_center
|
gptkbp:contains |
nine significant points of a triangle
|
gptkbp:diameter |
half the circumradius of the triangle
|
gptkbp:discoveredBy |
Karl Wilhelm Feuerbach
|
https://www.w3.org/2000/01/rdf-schema#label |
nine-point circle
|
gptkbp:namedAfter |
Karl Wilhelm Feuerbach
|
gptkbp:passesThrough |
midpoints of the segments from each vertex to the orthocenter
feet of the three altitudes of a triangle midpoints of the three sides of a triangle |
gptkbp:property |
exists for every triangle
tangent to incircle and excircles (Feuerbach's theorem) |
gptkbp:relatedTo |
gptkb:Euler_line
gptkb:train gptkb:orthocenter triangle geometry centroid circumcenter |
gptkbp:studiedIn |
gptkb:Euclidean_geometry
|
gptkbp:tangentTo |
incircle
three excircles |
gptkbp:bfsParent |
gptkb:nine-point_center
gptkb:Euler's_circle |
gptkbp:bfsLayer |
8
|