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(226)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(226)
X(1859) lies on these lines:
1,1871 4,65 6,1096 11,132 19,25 27,243 29,960 40,1872 92,518 209,1826 210,281 278,354 942,1838 950,1852 1013,1748 1825,1902 1829,1831 1869,1894X(1859) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,1865), (107,650), (1838,1841)
X(1859) = crosspoint of X(I) and X(J) for these (I,J): (4,1172), (281,1896)
X(1859) = crosssum of X(3) and X(1214)