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(28)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(28)
X(1834) lies on these lines:
1,442 2,1043 4,6 5,386 8,1211 10,37 11,1193 12,42 30,58 33,429 43,1329 56,851 65,225 115,118 377,940 405,1714 440,950 496,995 497,1191 524,1330 942,1086 1058,1616X(1834) = complement of X(1043)
X(1834) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,1842), (1897,523)
X(1834) = crosspoint of X(4) and X(10) X(1834) = crosssum of X(I) and X(J) for these (I,J): (3,58), (21,404)