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)(cos B + cos C) : (sec B)(cos C + cos A) : (sec C)(cos A + cos B)
Barycentrics (tan A)(cos B + cos C) : (tan B)(cos C + cos A) : (tan C)(cos A + cos B)
X(225) lies on these lines:
1,4 3,1074 7,969 10,201 12,37 19,208 28,108 46,254 65,407 75,264 91,847 158,1093 377,1038 412,775 653,897X(225) = isogonal conjugate of X(283)
X(225) = isotomic conjugate of X(332)
X(225) = X(4)-Ceva conjugate of X(65)
X(225) = X(407)-cross conjugate of X(4)
X(225) = crosspoint of X(I) and X(J) for these (I,J): (4,158), (273,278)
X(225) = crosssum of X(I) and X(J) for these (I,J): (3,255), (212,219)
X(225) = X(I)-beth conjugate of X(J) for these (I,J): (4,225), (10,227), (108,1042), (318,10)