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 a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(2066)
Trilinears 1/[1 + cot(A/2)] : 1/[1 + cot(B/2)] : 1/[1 + cot(C/2)] (M. Iliev, 4/12/07)Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2362) lies on these lines:
1,372 2,176 4,1336 6,19 40,2066 46,371 57,2067 72,1377 81,1805 485,1737 517,1124 606,1451 942,1335 1151,1155 1702,2093X(2362) = crosspoint of X(4) and X(1123)
X(2362) = crosssum of X(3) and X(1124)