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) = csc2A/(cos2B - cos2C)
Barycentrics g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (csc A)/(cos2B - cos2C)
X(799) lies on these lines:
2,873 63,561 75,897 88,274 99,100 110,789 162,811 190,670 310,333 645,651 689,813X(799) = isogonal conjugate of X(798)
X(799) = X(190)-cross conjugate of X(99)