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/[a(2a2 - b2 - c2)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(671) lies on these lines:
2,99 4,542 6,598 10,190 13,531 14,530 30,98 76,338 83,597 226,664 262,381 316,524 321,668 485,489 486,490X(671) = midpoint of X(2) and X(148)
X(671) = reflection of X(I) in X(J) for these (I,J): (2,115), (99,2)
X(671) = isogonal conjugate of X(187)
X(671) = isotomic conjugate of X(524)
X(671) = cevapoint of X(6) and X(23)
X(671) = X(316)-cross conjugate of X(83)