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 1/(a2 - bc) : 1/(b2 - ca) : 1/(c2 - ab)
Barycentrics a/(a2 - bc) : b/(b2 - ca) : c/(c2 - ab)See the description at X(1281). The lines AD', BE', CF' defined there concur in X(256).
X(291) lies on these lines: 1,39 2,38 6,985 8,330 10,274 42,81 43,57 88,660 105,238 256,894 337,986 350,726 659,897 876,891
X(291) = reflection of X(I) in X(J) for these (I,J): (1,1015), (668,10)
X(291) = isogonal conjugate of X(238)
X(291) = isotomic conjugate of X(350)
X(291) = X(I)-cross conjugate of X(J) for these (I,J): (239,256), (518,1)
X(291) = X(I)-Hirst inverse of X(J) for these (I,J): (1,292), (2,335)