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) = a/(2b^{2} + 2c^{2} - a^{2})
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)Let A'B'C' be the circumcevian triangle of X(2), and let P(A) be the line through A' parallel to line BC. Define P(B) and P(C) cyclically. Let A" = P(B)∩P(C), and define B" and C" cyclically. Triangle A"B"C" is homothetic to ABC, and X(1383) is the center of the homothety.
X(1383) lies on these lines: 2,187 6,23 32,111
X(1383) = isogonal conjugate of X(599)
X(1383) = cevapoint of X(6) and X(1384)