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 a2(b + c - a)2 : b2(c + a - b)2 : c2(a + b - c)2 = cos4A/2 : cos4B/2 : cos4C/2
X(1253) lies on these lines:
1,1170 3,1037 6,31 9,294 33,756 35,255 38,1040 40,1254 48,692 165,269 219,949 220,480 238,390 497,748X(1253) = isogonal conjugate of X(1088)
X(1253) = X(55)-Ceva conjugate of X(41)
X(1253) = crosspoint of X(55) and X(220)
X(1253) = crosssum of X(I) and X(J) for these (I,J): (1,1445), (7,279)