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) = a - 4R cot ω cos A
Trilinears g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = sin A - 2 cos A cot ω
Trilinears h(A,B,C) : h(B,C,A) : h(C,A,B), where h(A,B,C) = 2 cos A - sin A tan ω (Peter J. C. Moses, 8/22/03)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1350) lies on these lines:
3,6 4,141 20,64 22,110 30,599 35,611 36,613 40,518 74,1296 103,1293 206,1092 343,1370 376,524 517,990X(1350) = midpoint of X(20) and X(69)
X(1350) = reflection of X(I) in X(J) for these (I,J): (4,141), (6,3), (1351,182), (1498,159)