X(61) = ISOGONAL CONJUGATE OF X(17)¶

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

\(sin A sin(A + π/6) : sin B sin(B + π/6) : sin C sin(C + π/6) :ref:`X(61) <X(61)>\) lies on the Napoleon cubic and these lines: 1,203 2,18 3,6 4,13 5,14 30,397 56,202 140,395 299,636 302,629 618,627 X(61) is the {X(3),:ref:X(6) <X(6)>}-harmonic conjugate of X(62). For a list of other harmonic conjugates of X(61), click Tables at the top of this page. X(61) = reflection of X(62) in X(5007) <X(5007)>`

Notes

X(61) lies on the Napoleon cubic and these lines: 1,203 2,18 3,6 4,13 5,14 30,397 56,202 140,395 299,636 302,629 618,627

X(61) is the {X(3),:ref:X(6) <X(6)>}-harmonic conjugate of X(62). For a list of other harmonic conjugates of X(61), click Tables at the top of this page.

X(61) = reflection of X(62) in X(5007)

X(61) = reflection of X(633) in X(635)

X(61) = isogonal conjugate of X(17)

X(61) = isotomic conjugate of X(34389)

X(61) = complement of X(633)

X(61) = anticomplement of X(635)

X(61) = Brocard-circle-inverse of X(62)

X(61) = eigencenter of cevian triangle of X(14)

X(61) = eigencenter of anticevian triangle of X(16)

X(61) = X(14)-Ceva conjugate of X(16)

X(61) = crossdifference of every pair of points on line X(523)X(14446)

X(61) = crosspoint of X(302) and X(473)