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 f(a,b,c) : f(b,c,a) : f(c,a,b),
where f(a,b,c) = 2avw + cv2 + bw2 + u(bv + cw), u : v : w = X(72)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)X(1104) is the midpoint of the bicentric pair y : z : x and z : x : y, where x : y : z = X(72)
X(1104) lies on these lines:
1,6 11,429 25,34 31,65 32,910 58,942 81,1098 105,961 210,976 229,593 239,1043 440,950 517,580 581,995X(1104) = isogonal conjugate of X(1257)
X(1104) = crosspoint of X(I) and X(J) for these (I,J): (1,28), (81,269)
X(1104) = crosssum of X(I) and X(J) for these (I,J): (1,72), (37,200)