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 - 2R cos(B-C) cot ω
Trilinears g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = sin A - cos(B - C) cot ω
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1352) lies on these lines:
2,98 3,66 4,69 5,6 11,613 12,611 25,343 30,599 70,1176 193,576 206,1209 298,383 299,1080 355,518 381,524 394,426X(1352) = midpoint of X(4) and X(69)
X(1352) = reflection of X(I) in X(J) for these (I,J): (3,141), (6,5), (193,576)
X(1352) = anticomplement of X(182)
X(1352) = X(327)-Ceva conjugate of X(2)