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
|