nine-point circle

GPTKB entity

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