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(8)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(8)
X(1828) lies on these lines:
4,8 10,1883 19,44 25,34 28,88 46,1707 51,65 225,1846 427,1329 428,529 1827,1843 1838,1894 1844,1884 1848,1904X(1828) = crosspoint of X(4) and X(34)
X(1828) = crosssum of X(3) and X(78)