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 (sec A)csc2(B - C) : (sec B)csc2(C - A) : (sec C)csc2(A - B)
= (a2sec A)/(b2 - c2)2 : (b2sec B)/(c2 - a2)2 : (c2sec C)/(a2 - b2)2Barycentrics (tan A)csc2(B - C) : (tan B)csc2(C - A) : (tan C)csc2(A - B)
X(250) lies on these lines: 23,232 107,687 110,520 112,691 186,249 325,340 476,933 523,648 827,935
X(250) = isogonal conjugate of X(125)
X(250) = isotomic conjugate of X(339)
X(250) = cevapoint of X(I) and X(J) for these (I,J): (3,110), (25,112), (162,270)
X(250) = X(I)-cross conjugate of X(J) for these (I,J): (3,110), (22,99), (24,107), (25,112), (199,101)