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) = r + 2(r - R) cos A
= g(A,B,C) : g(B,C,A) : g(C,A,B),
where g(A,B,C) = cos 2A + cos B + cos C + (2 cos B + 2 cos C - 3) cos ABarycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2077) lies on these lines:
1,3 24,1753 30,119 78,1158 84,1259 100,515 102,901 104,519 122,856 376,535 386,601 404,946 516,1519 912,1768 953,1293 972,1308 1012,1376 1593,1878 1618,1818X(2077) = reflection of X(36) in X(3)
X(2077) = inverse-in-circumcircle of X(40)