nine-point center

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf triangle center
gptkbp:alsoKnownAs Euler center
gptkbp:collinear_with gptkb:orthocenter
centroid
circumcenter
gptkbp:definedIn any triangle
gptkbp:distanceFromCentroid three times the distance from centroid to nine-point center equals the distance from centroid to orthocenter
gptkbp:distanceFromOrthocenter half the distance from circumcenter to orthocenter
gptkbp:geometry gptkb:Euclidean_geometry
gptkbp:hasBarycentricCoordinates a(b^2+c^2-a^2):b(c^2+a^2-b^2):c(a^2+b^2-c^2)
gptkbp:hasTrilinearCoordinates cos(B-C):cos(C-A):cos(A-B)
https://www.w3.org/2000/01/rdf-schema#label nine-point center
gptkbp:isFixedPointOf triangle homothety
gptkbp:isOneOf triangle centers catalogued by Clark Kimberling
gptkbp:lies_at center of the nine-point circle
gptkbp:lies_on gptkb:Euler_line
gptkbp:namedAfter gptkb:nine-point_circle
gptkbp:relatedTo gptkb:nine-point_circle
gptkbp:bfsParent gptkb:Euler_line
gptkbp:bfsLayer 7