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) = cos(C- A) + cos(B - A)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
The notation "PU(68)", as described in the Bicentric Pairs section accessible by the More button, abbreviates a bicentric pair of points P = p : q : r and U = u : v : w, where p, q, r have the form g(a,b,c), g(b,c,a), g(c,a,b) and u,v,w have the form h(a,b,c), h(b,c,a), h(c,a,b). "Sum of PU(68)" denotes the point
g(a,b,c) + h(a,b,c) : g(b,c,a) + h(b,c,a) : g(c,a,b) + h(c,a,b),where (P, Q) are the bicentric pair (P(68),Q(68)) as listed in the Bicentric Pairs section.
X(2594) lies on these lines:
1,5 6,2197 35,500 42,65 55,581 56,181 59,60 354,1066 523,2616 654,2598 995,1388 1048,2595 1193,1319 1203,2078 1324,1437 1745,1836 2151,2307 2601,2603
X(2594) = X(1)-Ceva conjugate of X(2599)
X(2594) = cevapoint of X(1) and X(1048)
X(2594) = crosspoint of X(1) and X(54)
X(2594) = crosssum of X(1) and X(5)