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 b2c2/(b + c - a) : c2a2/(c + a - b) : a2b2/(a + b - c)
= tan(A/2) csc2A : tan(B/2) csc2B : tan(C/2) csc2CBarycentrics bc/(b + c - a) : ca/(c + a - b) : ab/(a + b - c)
X(85) lies on these lines:
1,664 2,241 7,8 12,120 29,34 56,870 57,274 76,226 92,331 109,767 150,355 264,309X(85) = isogonal conjugate of X(41)
X(85) = isotomic conjugate of X(9)
X(85) = complement of X(3177)
X(85) = anticomplement of X(1212)
X(85) = X(274)-Ceva conjugate of X(348)
X(85) = cevapoint of X(I) and X(J) for these (I,J): (1,169), (2,7), (57,77), (92,342)
X(85) = X(I)-cross conjugate of X(J) for these (I,J): (2,75), (57,273), (92,309), (142,2), (226,7)X(85) = X(I)-beth conjugate of X(J) for these (I,J):
(76,76), (85,279), (99,1), (274,85), (668,85), (789,85), (799,85), (811,85)