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 a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(51)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2167) lies on these lines:
1,1748 38,293 48,92 54,72 63,2148 75,2168 95,306 97,1214 162,1954 226,275X(2167) = isogonal conjugate of X(1953)
X(2167) = cevapoint of X(I) and X(J) for these I,J: 1,48 2148,2169
X(2167) = X(I)-cross conjugate of X(J) for these I,J: 48,2169 822,162 1577,662 2148,2190