X(62) = ISOGONAL CONJUGATE OF X(18)¶
Trilinears
\(sin(A - π/6) : sin(B - π/6) : sin(C - π/6)\)
\(cos(A + π/3) : cos(B + π/3) : cos(C + π/3)\)
\(cos A - sqrt(3) sin A : :\)
Barycentrics
\(sin A sin(A - π/6) : sin B sin(B - π/6) : sin C sin(C - π/6) :ref:`X(62) <X(62)>\) lies the Napoleon cubic and these lines: 1,202 2,17 3,6 4,14 5,13 30,398 56,203 140,396 298,635 303,630 619,628 X(62) is the {X(3),:ref:X(6) <X(6)>}-harmonic conjugate of X(61). For a list of other harmonic conjugates of X(62), click Tables at the top of this page. X(62) = reflection of X(61) in X(5007) <X(5007)>`
Notes
X(62) lies the Napoleon cubic and these lines: 1,202 2,17 3,6 4,14 5,13 30,398 56,203 140,396 298,635 303,630 619,628
X(62) is the {X(3),:ref:X(6) <X(6)>}-harmonic conjugate of X(61). For a list of other harmonic conjugates of X(62), click Tables at the top of this page.
X(62) = reflection of X(61) in X(5007)
X(62) = reflection of X(634) in X(636)
X(62) = isogonal conjugate of X(18)
X(62) = isotomic conjugate of X(34390)
X(62) = complement of X(634)
X(62) = anticomplement of X(636)
X(62) = Brocard-circle-inverse of X(61)
X(62) = eigencenter of cevian triangle of X(13)
X(62) = eigencenter of anticevian triangle of X(15)
X(62) = X(13)-Ceva conjugate of X(15)
X(62) = crosspoint of X(303) and X(472)
X(62) = crossdifference of every pair of points on line X(523)X(14447)
X(62) = point of concurrence of Brocard axes of BC:ref:X(16) <X(16)>, CA:ref:X(16) <X(16)>, AB:ref:X(16) <X(16)>
X(62) = perspector of ABC and centers of circles used in construction of X(1338)
X(62) = X(62)-of-circumsymmedial-triangle
X(62) = orthocorrespondent of X(15)
X(62) = {X(16),:ref:X(61) <X(61)>}-harmonic conjugate of X(3)
X(62) = {X(371),:ref:X(372) <X(372)>}-harmonic conjugate of X(16)
X(62) = perspector of outer Napoleon triangle and orthocentroidal triangle
X(62) = Cundy-Parry Phi transform of X(16)
X(62) = Cundy-Parry Psi transform of X(14)
X(62) = Kosnita(X(16),:ref:X(3) <X(3)>) point
X(62) = Kosnita(X(16),:ref:X(16) <X(16)>) point
X(62) = antigonal conjugate of X(34220)