Trilinears a2 : b2 : c2
= 1 - cos 2A : 1 - cos 2B : 1 - cos 2C
Barycentrics a3 : b3 : c3
X(31) lies on these lines:
1,21 2,171 3,601 6,42 8,987 9,612 10,964 19,204 25,608 32,41 35,386 36,995 40,580 43,100 44,210 48,560 51,181 56,154 57,105 65,1104 72,976 75,82 76,734 91,1087 92,162 99,715 101,609 110,593 163,923 184,604 237,904 404,978 561,722 649,884 669,875 701,789 743,825 745,827 759,994 775,1097 937,1103 940,1001 999,1149 1139,1140
X(31) is the {X(1),X(63)}-harmonic conjugate of X(38).
X(31) = isogonal conjugate of X(75)
X(31) = isotomic conjugate of X(561)
X(31) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,48), (6,41), (9,205), (58,6), (82,1)
X(31) = X(213)-cross conjugate of X(6)
X(31) = crosspoint of X(I) and X(J) for these (I,J): (1,19), (6,56)
X(31) = crosssum of X(I) and X(J) for these (I,J): (1,63), (2,8), (7,347), (10,321), (239,1281), (244,514), (307,1441), (523,1086), (693,1111)
X(31) = crossdifference of any two points on line X(514)X(661)
X(31) = X(1403)-Hirst inverse of X(1428)
X(31) = X(I)-aleph conjugate of X(J) for these (I,J): (82,31), (83,75)
X(31) = X(I)-beth conjugate of X(J) for these (I,J): (21,993), (55,55), (109,31), (110,57), (643,31), (692,31)
, select the center name from the list and, then, click on the vertices A, B and C successively.