Trilinears           (tan A)/(b + c) : (tan B)/(c + a) : (tan C)/(a + b)
Barycentrics    (sin A tan A)/(b + c) : (sin B tan B)/(c + a) : (sin C tan C)/(a + b)

X(28) lies on these lines:
1,19    2,3    10,1891    11,1852    33,975    34,57    35,1869    36,1838    46,1780    54,1243    56,278    60,81    65,1175    72,1257    88,162    104,107    105,112    108,225    110,915    142,1890    228,943    242,261    272,273    279,1014    281,958    291,1783    501,1831    579,1724    580,1730    607,1002    608,959    614,1472    956,1219    957,1191    961,1169    1104,1333    1125,1848    1155,1888    1170,1876    1178,1432    1224,1826    1255,1824    1295,1301    1385,1871    1412,1422    1633,1770    1710,1725

X(28) is the {X(27),X(29)}-harmonic conjugate of X(4).

X(28) = isogonal conjugate of X(72)
X(28) = X(I)-Ceva conjugate of X(J) for these (I,J): (270,58), (286,81)
X(28) = cevapoint of X(I) and X(J) for these (I,J): (19,25), (34,56)
X(28) = X(I)-cross conjugate of X(J) for these (I,J): (19,27), (58,58)
X(28) = crossdifference of any two points on line X(647)X(656)
X(28) = X(4)-Hirst inverse of X(422)
X(28) = X(I)-beth conjugate of X(J) for these (I,J): (29,29), (107,28), (162,28), (270,28)