Trilinears (csc A)(cos B + cos C) : (csc B)(cos C + cos A) : (csc C)(cos A + cos B)
= bc(b + c)/(b + c - a) : ca(c + a)/(c + a - b) : ab(a + b)/(a + b - c)
Barycentrics (b + c)/(b + c - a) : (c + a)/(c + a - b) : (a + b)/(a + b - c)
This center is also X(63) of the medial triangle.
X(226) lies on these lines:
1,4 2,7 5,912 10,12 11,118 13,1082 14,554 27,284 29,951 35,79 36,1006 37,440 41,379 46,498 55,516 56,405 76,85 78,377 81,651 83,1429 86,1412 92,342 98,109 102,1065 175,1131 176,1132 196,281 208,406 222,478 228,851 262,982 273,469 306,321 429,1426 443,936 452,1420 474,1466 481,485 482,486 495,517 535,551 664,671 673,1174 748,1471 857,1446 975,1038 990,1040 1029,1442 1260,1376 1284,1402 1401,1463
X(226) = reflection of X(993) in X(1125)
X(226) = isogonal conjugate of X(284)
X(226) = isotomic conjugate of X(333)
X(226) = complement of X(63)
X(226) = X(I)-Ceva conjugate of X(J) for these (I,J): (7,65), (349,307)
X(226) = cevapoint of X(37) and X(65)
X(226) = X(I)-cross conjugate of X(J) for these (I,J): (37,10), (73,307)
X(226) = crosspoint of X(2) and X(92)
X(226) = crosssum of X(I) and X(J) for these (I,J): (6,48), (41,55)
X(226) = crossdifference of any two points on line X(652)X(663)
X(226) = X(I)-beth conjugate of X(J) for these (I,J): (2,226), (21,1064), (100,42), (190,226), (312,306), (321,321), (335,226), (835,226)
, select the center name from the list and, then, click on the vertices A, B and C successively.