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 (csc A)csc2(B - C) : (csc B)csc2(C - A) : (csc C)csc2(A - B)
= a/(b2 - c2)2 : b/(c2 - a2)2 : c/(a2 - b2)2Barycentrics csc2(B - C) : csc2(C - A) : csc2(A - B)
X(249) lies on these lines: 99,525 110,512 186,250 187,323 297,316 648,687 805,827 849,1110
X(249) = isogonal conjugate of X(115)
X(249) = isotomic conjugate of X(338)
X(249) = cevapoint of X(I) and X(J) for these (I,J): (6,110), (24,112)
X(249) = X(I)-cross conjugate of X(J) for these (I,J): (3,99), (6,110)