Trilinears           bc/(b² - c²) : ca/(c² - a²) : ab/(a² - b²)
                                    = b²c² csc(B - C) : c²a² csc(C - A) : a²b² csc(A - B)

Barycentrics    1/(b² - c²) : 1/(c² - a²) : 1/(a² - b²)

X(99) = circumcircle-antipode of X(98)
X(99) = the point of intersection, other than A, B, and C, of the circumcircle and Steiner ellipse. X(99) = Ψ(X(6), X(2))

For more information on the Steiner circum-ellipse, visit MathWorld.

X(99) lies on these lines:
1,741    2,111    3,76    4,114    6,729    13,303    14,302    20,147    21,105    22,305    30,316    31,715    32,194    36,350    38,745    39,83    58,727    69,74    75,261    81,739    86,106    95,311    100,668    101,190    102,332    103,1043    104,314    108,811    109,643    110,690    112,648    141,755    163,825    187,385    249,525    264,378    286,915    298,531    299,530    310,675    476,850    512,805    523,691    524,843    666,919    669,886    670,804    692,785    695,711    813,1016    889,898

X(99) is the {X(39),X(384)}-harmonic conjugate of X(83).

X(99) = midpoint of X(I) and X(J) for these (I,J): (20,147), (616,617)
X(99) = reflection of X(I) in X(J) for these (I,J): (4,114), (13,619), (14,618), (98,3), (115,620), (148,115), (316,325), (385,187), (671,2)

X(99) = isogonal conjugate of X(512)
X(99) = isotomic conjugate of X(523)
X(99) = complement of X(148)
X(99) = anticomplement of X(115)
X(99) = cevapoint of X(I) and X(J) for these (I,J): (2,523), (3,525), (39,512), (100,190)
X(99) = X(1019)-cross conjugate of X(1509)
X(99) = crossdifference of any two points on line X(351)X(865)
X(99) = X(I)-cross conjugate of X(J) for these (I,J): (3,249), (22,250), (512,83), (523,2), (525,76)
X(99) = X(21)-beth conjugate of X(741)