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 f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = 1 + sec A - sec B - sec C
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)X(1490) is the X(68)-of-the-excentral triangle and the circumcircle-antipode of X(84). These and other properties itemized here were reported by Darij Grinberg, May 19, 2003.
X(1490) lies on these lines:
1,4 3,9 20,78 40,64 63,411 165,191 224,908 386,990 910,1192 975,991 1045,1047 1210,1467X(1490) = reflection of X(84) in X(3)
X(1490) = X(I)-Ceva conjugate of X(J) for these (I,J): (78,1), (329,9)
X(1490) = X(207)-cross conjugate of X(1)