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(516)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(516)
X(1876) lies on these lines:
1,1037 4,7 6,19 25,57 28,1170 33,354 59,517 72,475 108,840 196,1851 225,1887 226,427 235,1210 242,653 278,1002 428,553 513,1835 518,1861 614,3195 851,1465 950,1885 1011,1214 1020,1736 1068,1872 1458,2356 1471,2212X(1876) = midpoint of X(65) and X(1456)