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 bc(a2 - bc) : ca(b2 - ca) : ab(c2 - ab)
Barycentrics a2 - bc : b2 - ca : c2 - ab
X(239) lies on these lines:
1,2 6,75 7,193 9,192 44,190 57,330 63,194 81,274 83,213 86,1100 92,607 141,319 238,740 241,664 257,333 294,666 318,458 320,524 335,518 514,649 1043,1104X(239) = reflection of X(I) in X(J) for these (I,J): (190,44), (320,1086)
X(239) = isogonal conjugate of X(292)
X(239) = isotomic conjugate of X(335) X(239) = crosspoint of X(256) and X(291)
X(239) = crosssum of X(I) and X(J) for these (I,J): (3,255), (212,219)
X(239) = crossdifference of any two points on line X(42)X(649)
X(239) = X(I)-Hirst inverse of X(J) for these (I,J): (171,238), (665,1015)
X(239) = X(1)-line conjugate of X(42)
X(239) = X(I)-beth conjugate of X(J) for these (I,J): (333,239), (645,44)