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)
, select the center name from the list and, then, click on the vertices A, B and C successively.