The ninepoint center (sometimes instead denoted ) is the center of the ninepoint circle. It has equivalent triangle center functions
(1)
 
(2)
 
(3)

and is the midpoint of the line between the circumcenter and orthocenter . The ninepoint center is Kimberling center .
It satisfies
(4)

where is the circumradius of the reference triangle and is the circumcenter.
Distances to some other named triangle centers include
(5)
 
(6)
 
(7)
 
(8)
 
(9)
 
(10)
 
(11)

where is the Feuerbach point, is the triangle centroid, is the orthocenter, is the incenter, is the de Longchamps point, is the circumcenter, is the Spieker center, and is the triangle area.
The ninepoint center , vecten point , and inner vecten point are collinear (J. Montes Valderrama, pers. comm., R. Barroso Campos, Apr. 20, 2004).
The ninepoint center lies on the Lester circle and is the center of the ninepoint circle and Steiner circle. It lies on the Euler line.
The following table summarizes the ninepoint centers for named triangles that are Kimberling centers.
triangle  Kimberling  ninepoint center 
anticomplementary triangle  circumcenter  
circumcircle midarc triangle  midpoint of the incenter and circumcenter  
circumnormal triangle  circumcenter  
circumtangential triangle  circumcenter  
contact triangle  inverseinincircle of  
Euler triangle  midpoint of and  
excentral triangle  circumcenter  
first Morley triangle  first Morley center  
first Yff circles triangle  (Johnson midpoint)  
Fuhrmann triangle  ninepoint center  
hexyl triangle  circumcenter  
inner Napoleon triangle  triangle centroid  
medial triangle  midpoint of and  
orthic triangle  ninepoint center of orthic triangle  
outer Napoleon triangle  triangle centroid  
reference triangle  ninepoint center  
second Yff circles triangle  (,)harmonic conjugate of  
Stammler triangle  circumcenter  
tangential triangle  oftangentialtriangle 