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 1 - cos B cos C : 1 - cos C cos A : 1 - cos A cos B
Barycentrics (sin A)(1 - cos B cos C) : (sin B)(1 - cos C cos A) : (sin C)(1 - cos A cos B)X(497) is the harmonic conjugate of X(388) with respect to X(1) and X(4)
X(497) lies on these lines:
1,4 2,11 3,496 7,354 8,210 20,56 29,1036 30,999 35,499 36,376 57,516 65,938 69,350 80,1000 212,238 329,518 381,495 452,958 614,1040 1057,1065X(497) = isogonal conjugate of X(1037)
X(497) = anticomplement of X(1376)
X(497) = crosspoint of X(I) and X(J) for these (I,J): (7,8), (29,314)
X(497) = crosssum of X(I) and X(J) for these (I,J): (55,56), (73,1402)
X(497) = crossdifference of any two points on line X(652)X(665)