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 B cos C + cos(B - C)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(3091) lies on these lines:
2,3 7,1210 8,908 10,962 11,153 12,497 68,1173 110,578 114,148 115,147 116,152 118,150 119,149 124,151 125,146 145,355 155,1994 156,567 193,576 194,262 226,938 253,264 324,1093 347,1838 390,1479 485,1132 486,1131 495,1058 496,1056 516,1698 569,1614 637,1271 638,1270 1007,1975 1329,2550 1348,2543 1349,2542 1454,1776 1478,3086 1506,2549 1676,2547 1677,2546 1788,1836 1853,2883 2009,2545 2010,2544 2551,2886 3068,3071 3069,3070X(3091) = midpoint of X(4) and X(631)
X(3091) = reflection of X(I) in X(J) for these (I,J): (3,632), (631,1656), (1656,5)
X(3091) = inverse-in-orthocentroidal-circle of X(20)
X(3091) = anticomplement of X(631)