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(225)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(225)
X(1858) lies on these lines:
1,90 3,920 4,65 6,1854 11,113 21,60 52,517 55,72 73,774 144,145 411,1155 758,950 1829,1852 1831,1839X(1858) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,431), (648,650)
X(1858) = crosspoint of X(4) and X(21)
X(1858) = crosssum of X(I) and X(J) for these (I,J): (1,1935), (3,65), (478,1402)