X(90) = X(3)-CROSS CONJUGATE OF X(1)¶
Trilinears
\(1/(cos B + cos C - cos A) : 1/(cos C + cos A - cos B) : 1/(cos A + cos B - cos C)\)
\(1/(a^3 + a^2 (b + c) - a (b^2 + c^2) - (b - c)^2 (b + c)) : :\)
Barycentrics
\(a/(cos B + cos C - cos A) : b/(cos C + cos A - cos B) : c/(cos A + cos B - cos C) :ref:`X(90) <X(90)>\) = (r + R)2*:ref:X(1) <X(1)> - 6rR*:ref:X(2) <X(2)> - 2r(r - R)*:ref:X(3) <X(3)> (Peter Moses, April 2, 2013) X(90) lies on these lines: 1,155 4,46 9,35 21,224 33,47 36,84 40,80 57,79 X(90) = isogonal conjugate of X(46) <X(46)>`
Notes
X(90) lies on these lines: 1,155 4,46 9,35 21,224 33,47 36,84 40,80 57,79
X(90) = isogonal conjugate of X(46)
X(90) = isotomic conjugate of X(20930)
X(90) = X(3)-cross conjugate of X(1)
X(90) = perspector of ABC and extraversion triangle of X(46)
X(90) = trilinear product of the extraversions of X(46), which is also the cross-triangle of the orthic and excentral triangles
X(90) = trilinear product of PU(125)