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 f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = bc(c + a - b)(a + b - c)(b + c - 2a)2
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = (c + a - b)(a + b - c)(b + c - 2a)2X(1317) is the antipode of X(11) on the incircle.
X(1317) lies on these lines:
1,5 7,528 55,104 56,100 149,388 153,497 214,519X(1317) = midpoint of X(100) and X(145)
X(1317) = reflection of X(I) in X(J) for these (I,J): (11,1), (80,1387), (1145,214)
X(1317) = isogonal conjugate of X(1318)
X(1317) = anticomplement of X(3036)