Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears u csc 2A : v csc 2B : w csc 2C, where
u : v : w = X(187); e.g., u(a,b,c) = a(2a2 - b2 - c2)Barycentrics u sec A : v sec B : w sec C
X(468) lies on these lines: 2,3 98,685 107,842 111,935 230,231 250,325
X(468) = {X(1113),X(1114)}-harmonic conjugate of X(25)
X(468) = {X(1312),X(1313)}-harmonic conjugate of X(427)
X(468) = {X(2),X(1113)}-harmonic conjugate of X(1312)
X(468) = {X(2),X(1114)}-harmonic conjugate of X(1313)
X(468) = midpoint of X(I) and X(J) for these (I,J): (23,858), (186,403)
X(468) = isogonal conjugate of X(895)
X(468) = inverse-in-circumcircle of X(25)
X(468) = inverse-in-nine-point-circle of X(427)
X(468) = X(187)-cross conjugate of X(524)
X(468) = crossdifference of any two points on line X(3)X(647)
X(468) = X(2)-line conjugate of X(3)