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(204)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(204)
X(1853) lies on these lines:
2,154 3,161 4,64 5,1498 6,66 12,221 25,125 122,1073 157,426 343,1350 394,858 1146,1851 1181,1594 1352,1368 1826,1836 1837,1854X(1853) = reflection of X(154) in X(2)
X(1853) = crosspoint of X(4) and X(253)
X(1853) = crosssum of X(I) and X(J) for these (I,J): (3,154), (206,577)