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 (y + z) sec A : (z + x) sec B : (x + y) sec C, x : y : z = X(5)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(5)
X(1825) lies on these lines:
4,80 19,41 33,40 34,1126 35,186 65,225 109,1710 250,270 319,340 1829,1877 1859,1902 1872,1905 1875,1900X(1825) = isogonal conjugate of X(1789)