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) = yz + (-x cos A + y cos B + z cos C)x, where x : y : z = X(10)
Trilinears f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = bc(a3 + a2b + a2c + abc - b2c - bc2) (M. Iliev, 5/13/07)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1999) lies on these lines:
1,2 6,312 27,295 37,333 63,192 75,940 81,314 100,1402 171,740 193,329 226,1943 319,1211 350,1965 553,1266 664,1427X(1999) = X(65)-Ceva conjugate of X(894)